Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze8.0ms (0%)

Memory

-34.2MiB live, 14.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample10.2s (60.7%)

Memory

106.5MiB live, 9 797.2MiB allocated

Samples

7.6s	3 897×	2	valid
2.0s	4 334×	1	valid
27.0ms	25×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.3s

ival-tan: 7.4s (79% of total)

adjust: 841.0ms (9% of total)

const: 469.0ms (5% of total)

ival-div: 422.0ms (4.5% of total)

ival-sub: 156.0ms (1.7% of total)

ival-<: 44.0ms (0.5% of total)

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

exact: 5.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

explain576.0ms (3.4%)

Memory

44.6MiB live, 518.5MiB 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

426.0ms	244×	2	valid
98.0ms	264×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 502.0ms

ival-tan: 432.0ms (86.1% of total)

ival-div: 45.0ms (9% of total)

adjust: 17.0ms (3.4% of total)

ival-sub: 7.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess362.0ms (2.2%)

Memory

-13.2MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify266.0ms (1.6%)

Memory

15.4MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize372.0ms (2.2%)

Memory

-27.7MiB live, 218.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(tan.f64 x)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	59.34197983558346	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

268.0ms	122×	2	valid
96.0ms	132×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-tan: 266.0ms (83% of total)

ival-div: 43.0ms (13.4% of total)

adjust: 9.0ms (2.8% of total)

ival-sub: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

4 → 16

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))

Calls

3 calls:

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

simplify281.0ms (1.7%)

Memory

2.7MiB live, 227.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(fma.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite208.0ms (1.2%)

Memory

12.5MiB live, 245.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 224

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (neg.f64 (tan.f64 x)) x)) (.f64 (neg.f64 (tan.f64 x)) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (tan.f64 x) x)) (.f64 (neg.f64 (tan.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (tan.f64 x) x)) (.f64 (tan.f64 x) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(.f64 (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) x) x) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))))
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(tan.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(-.f64 (cosh.f64 (log.f64 (tan.f64 x))) (sinh.f64 (log.f64 (tan.f64 x))))
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(+.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)))
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(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
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eval29.0ms (0.2%)

Memory: 12.4MiB live, 57.7MiB allocated
Compiler: Compiled 4 521 to 804 computations (82.2% saved)

prune4.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	235	4	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	236	4	240

Accuracy

99.6%

Counts

240 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan 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))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 78 to 51 computations (34.6% saved)

simplify250.0ms (1.5%)

Memory

-26.7MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
cost-diff	0	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan 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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	199
0	42	199
1	79	199
2	248	199
3	1058	199
4	3947	199
5	7366	199
0	8200	199

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan 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))
(.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)
(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))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan 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))
(.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)
(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))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

localize409.0ms (2.4%)

Memory

51.4MiB live, 375.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(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))
accuracy	0.00390625	(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))
accuracy	0.00390625	(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
accuracy	0.27734375	(.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)
accuracy	0.0078125	(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))
accuracy	0.0078125	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
accuracy	0.023942511784941275	#s(approx (- (/ 1 x) (/ 1 (tan 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))
accuracy	0.27734375	(.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)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.1846905810819694	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
accuracy	0.2890625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.28515625	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.637458062212354	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Samples

280.0ms	122×	2	valid
107.0ms	132×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 171 to 29 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-tan: 186.0ms (51.6% of total)

ival-mult: 55.0ms (15.3% of total)

ival-div: 47.0ms (13% of total)

adjust: 36.0ms (10% of total)

const: 19.0ms (5.3% of total)

ival-add: 14.0ms (3.9% of total)

ival-sub: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory

-34.6MiB live, 11.0MiB allocated

Counts

15 → 44

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan 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))
(.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)
(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))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 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))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
2/945
(+ 2/945 (* 1/4725 (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)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))
3.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))

Time

Variable

Point

Expression

29.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))

3.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))

2.0ms

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))

simplify163.0ms (1%)

Memory

4.7MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	459
1	353	459
2	1089	456
3	4202	456
0	8183	436

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
2/945
(+ 2/945 (* 1/4725 (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)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(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))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(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))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(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))
2/945
#s(literal 2/945 binary64)
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 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 (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))
(* 2/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2/945 (pow x 2))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* 1/4725 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/4725 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/4725 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/4725 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4725 binary64))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/4725 (pow x 2))
(.f64 #s(literal 1/4725 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -2/945 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/4725 binary64))))

rewrite186.0ms (1.1%)

Memory

-4.1MiB live, 228.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	179
0	42	179
1	185	179
2	1394	179
0	8248	179

Stop Event

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

Counts

15 → 358

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan 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))
(.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)
(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))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.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 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.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 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 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 (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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.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) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.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 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.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) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 #s(literal 1/45 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 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x))
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(+.f64 (/.f64 #s(literal 8/843908625 binary64) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (.f64 x x) #s(literal 2/4465125 binary64))))) (/.f64 (.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (.f64 x x) #s(literal 2/4465125 binary64))))) (/.f64 #s(literal 8/843908625 binary64) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(+.f64 (.f64 #s(literal 1/4725 binary64) (.f64 x x)) #s(literal 2/945 binary64))
(+.f64 #s(literal 2/945 binary64) (.f64 #s(literal 1/4725 binary64) (.f64 x x)))

eval76.0ms (0.5%)

Memory: 45.9MiB live, 91.1MiB allocated
Compiler: Compiled 22 599 to 2 472 computations (89.1% saved)

prune37.0ms (0.2%)

Memory

-10.9MiB live, 41.0MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	504	7	511
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	504	11	515

Accuracy

100.0%

Counts

515 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	54.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
	31.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))))
	99.3%	#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) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan 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))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	20.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 566 to 335 computations (40.8% saved)

simplify132.0ms (0.8%)

Memory

9.4MiB live, 140.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
cost-diff	0	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	0	(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	1	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
cost-diff	8	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	2	(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
cost-diff	2	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
cost-diff	6	(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
cost-diff	11	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/45 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	495
0	81	415
1	158	409
2	547	401
3	3240	395
0	9045	382

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x 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))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.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))
(*.f64 (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 1/2025 binary64)
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 2/945 binary64)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(*.f64 (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 1/2025 binary64)
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 2/945 binary64)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)

localize610.0ms (3.6%)

Memory

10.6MiB live, 533.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.023942511784941275	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy	0.09375	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.197597509768442	(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
accuracy	50.01445140625767	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.18359375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1846905810819694	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
accuracy	0.29296875	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
accuracy	0.34375	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1846905810819694	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
accuracy	0.20703125	(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.28515625	(*.f64 #s(literal 1/3 binary64) x)
accuracy	29.096309671502844	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
accuracy	0.015625	(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.18359375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1846905810819694	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.28515625	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.023942511784941275	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
accuracy	0.23046875	(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
accuracy	0.28515625	(*.f64 #s(literal 1/3 binary64) x)

Samples

369.0ms	122×	2	valid
198.0ms	132×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 372 to 47 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 497.0ms

ival-tan: 260.0ms (52.3% of total)

adjust: 99.0ms (19.9% of total)

ival-mult: 51.0ms (10.3% of total)

const: 25.0ms (5% of total)

ival-div: 21.0ms (4.2% of total)

ival-sub: 17.0ms (3.4% of total)

ival-pow: 12.0ms (2.4% of total)

ival-add: 10.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory

-16.5MiB live, 28.9MiB allocated

Counts

24 → 39

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 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))))))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/45 (pow x 3))
(* 1/9 (pow x 2))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(/ -1/45 (pow x 2))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
2/945
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

((+ (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* 1/3 x) (* 1/3 x))) (- (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* 1/45 (* x x)) x) (* (* 1/3 x) (* 1/3 x)) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (/ 1 x) (/ 1 (tan x))) (- (* (pow x 4) 1/2025) 1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)))

6.0ms

inf

((+ (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* 1/3 x) (* 1/3 x))) (- (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* 1/45 (* x x)) x) (* (* 1/3 x) (* 1/3 x)) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (/ 1 x) (/ 1 (tan x))) (- (* (pow x 4) 1/2025) 1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)))

5.0ms

-inf

((+ (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* 1/3 x) (* 1/3 x))) (- (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* 1/45 (* x x)) x) (* (* 1/3 x) (* 1/3 x)) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (/ 1 x) (/ 1 (tan x))) (- (* (pow x 4) 1/2025) 1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)))

simplify133.0ms (0.8%)

Memory

-13.4MiB live, 130.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	323
1	259	323
2	732	322
3	2690	314
0	8524	297

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

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))))))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/45 (pow x 3))
(* 1/9 (pow x 2))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(/ -1/45 (pow x 2))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
2/945
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))

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 (.f64 x x) #s(literal 2/945 binary64) #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)
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(pow x 2)
(*.f64 x x)
(* 1/2025 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 #s(literal 1/9 binary64) x) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/945 binary64))
(/ -1/45 (pow x 2))
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(* 2/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 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)))
(* 2/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 2/945 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/945 binary64))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(* (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)
(* 1/2025 (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 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 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)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
2/945
#s(literal 2/945 binary64)
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/945 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64)))

rewrite225.0ms (1.3%)

Memory

24.2MiB live, 160.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	377
0	81	297
1	325	293
2	2636	291
0	9540	281

Stop Event

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

Counts

24 → 644

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))

Outputs
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 x (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal -1/3 binary64)))
(.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))) (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/9 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/9 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) x))) (sqrt.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal -1/3 binary64) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x)) (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/3 binary64) x))
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(/.f64 (-.f64 (.f64 (+.f64 #s(literal 8/843908625 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 12 binary64)))) (.f64 (neg.f64 x) x)) (.f64 (+.f64 (-.f64 #s(literal 4/893025 binary64) (/.f64 #s(literal 2/2835 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/45 binary64))) (.f64 (+.f64 (-.f64 #s(literal 4/893025 binary64) (/.f64 #s(literal 2/2835 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)))) (/.f64 (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))))
(+.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/9 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1/3 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x)) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/9 binary64))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))
(fabs.f64 (*.f64 #s(literal -1/3 binary64) x))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (/.f64 (log.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
#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 #s(literal -1/45 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -1/45 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/45 binary64) x) x)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(/.f64 #s(literal 1/45 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1/3 binary64) (fabs.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64))))
(fabs.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fabs.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))

eval103.0ms (0.6%)

Memory: 26.1MiB live, 115.6MiB allocated
Compiler: Compiled 31 370 to 3 218 computations (89.7% saved)

prune409.0ms (2.4%)

Memory

-26.4MiB live, 48.9MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	789	5	794
Fresh	1	1	2
Picked	3	2	5
Done	0	4	4
Total	793	12	805

Accuracy

100.0%

Counts

805 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
▶	50.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	31.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
▶	54.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
	99.3%	#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) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan 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))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.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))))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 463 to 310 computations (33% saved)

simplify115.0ms (0.7%)

Memory

-49.5MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	447
0	71	469
1	127	437
2	362	409
3	1933	387
4	5886	387
0	8010	365

Stop Event

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

Calls

Call 1

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

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

localize344.0ms (2%)

Memory

25.0MiB live, 344.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1015625	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1042093282686799	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.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))))
accuracy	0.13671875	(.f64 (/.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)))
accuracy	0.1042093282686799	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
accuracy	0.15234375	(*.f64 x #s(literal 1/9 binary64))
accuracy	0.16796875	(*.f64 #s(literal 1/3 binary64) x)
accuracy	14.271182794685174	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.09375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1042093282686799	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
accuracy	0.13671875	(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
accuracy	0.15234375	(*.f64 x #s(literal 1/9 binary64))
accuracy	0.07488251953688403	(.f64 #s(literal 1/9 binary64) (.f64 x x))
accuracy	0.09375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1042093282686799	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
accuracy	14.174554774753211	(sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))
accuracy	0.1006874535931184	#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
accuracy	0.1042093282686799	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
accuracy	0.14453125	(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
accuracy	0.16015625	(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))

Samples

94.0ms	125×	0	invalid
81.0ms	48×	2	valid
67.0ms	63×	1	valid
61.0ms	19×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 344 to 41 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-tan: 85.0ms (32.3% of total)

const: 65.0ms (24.7% of total)

ival-mult: 38.0ms (14.5% of total)

ival-div: 24.0ms (9.1% of total)

adjust: 24.0ms (9.1% of total)

ival-sub: 12.0ms (4.6% of total)

ival-sqrt: 7.0ms (2.7% of total)

ival-pow: 4.0ms (1.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

24 → 39

Calls

Call 1

Inputs
(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 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 (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (*.f64 x #s(literal 1/9 binary64)) x))
(/.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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.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 (/.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)))
(sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(*.f64 x #s(literal 1/9 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 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 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/45 (pow x 2))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/45 (pow x 3))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* 1/9 (pow x 2))
(* 1/9 x)
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45)))
(* -1 (* (pow x 3) (- (/ (* (sqrt -1) (sqrt -1/9)) (pow x 2)) 1/45)))
(* -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)
(* -1 (* x (* (sqrt -1) (sqrt -1/9))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify109.0ms (0.6%)

Memory

0.6MiB live, 90.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	360
1	350	360
2	943	358
3	3205	358
0	8408	347

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

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 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/45 (pow x 2))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/45 (pow x 3))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* 1/9 (pow x 2))
(* 1/9 x)
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45)))
(* -1 (* (pow x 3) (- (/ (* (sqrt -1) (sqrt -1/9)) (pow x 2)) 1/45)))
(* -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)
(* -1 (* x (* (sqrt -1) (sqrt -1/9))))

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 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 2)
(*.f64 x x)
(* 1/2025 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* -1/9 (pow x 2))
(.f64 (.f64 #s(literal -1/9 binary64) x) x)
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) 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)
(* 1/9 (pow x 2))
(.f64 (.f64 #s(literal 1/9 binary64) x) x)
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* (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 (/ (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)))
(* 1/2025 (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 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2025 (pow x 4))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(* (pow x 6) (- 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 6 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 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) #s(literal 45 binary64))) 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 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (/ (* (sqrt -1) (sqrt -1/9)) (pow x 2)) 1/45)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) (sqrt.f64 #s(literal -1/9 binary64))) #s(literal 1/45 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 (/.f64 #s(literal 151875 binary64) 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)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (* (sqrt -1) (sqrt -1/9))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1/9 binary64)) (sqrt.f64 #s(literal -1 binary64))))

rewrite198.0ms (1.2%)

Memory

7.4MiB live, 193.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	348
0	71	288
1	268	250
2	1766	237
0	9268	228

Stop Event

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

Counts

24 → 1 958

Calls

Call 1

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

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

eval153.0ms (0.9%)

Memory: -10.4MiB live, 173.3MiB allocated
Compiler: Compiled 37 144 to 3 607 computations (90.3% saved)

prune26.0ms (0.2%)

Memory

3.4MiB live, 58.2MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 034	3	1 037
Fresh	1	0	1
Picked	3	2	5
Done	0	6	6
Total	1 038	11	1 049

Accuracy

100.0%

Counts

1 049 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
✓	50.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
	54.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x 1/9) x)) (.f64 (.f64 #s(literal -1/9 binary64) x) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan 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))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.4%	#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 (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 869 to 338 computations (61.1% saved)

regimes10.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan 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))
#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 (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 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))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x 1/9) x)) (.f64 (.f64 #s(literal -1/9 binary64) x) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.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))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 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) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.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))

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
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0%)

Memory

-28.5MiB live, 15.1MiB allocated

Counts

8 → 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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan 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))
#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 (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 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))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan 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))

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 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
98.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify170.0ms (1%)

Memory

-17.2MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	121
1	37	121
2	40	121
3	45	121
4	54	121
5	73	121
6	121	121
7	263	121
8	746	121
9	1400	121
10	3380	121
11	3886	121
12	4409	121
13	4864	121
14	5516	121
15	6216	121
16	6666	121
17	6804	121
18	7142	121
19	7479	121
20	7552	121
21	7585	121
22	7628	121
23	7653	121
24	7665	121
25	7903	121

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan 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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan 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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

derivations485.0ms (2.9%)

Memory

-1.1MiB live, 284.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	179
0	42	179
1	185	179
2	1394	179
0	8248	179
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

Compiler

Compiled 121 to 32 computations (73.6% saved)

preprocess44.0ms (0.3%)

Memory: 15.6MiB live, 60.6MiB allocated
Compiler: Compiled 306 to 110 computations (64.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze8.0ms (0%)

sample10.2s (60.7%)

explain576.0ms (3.4%)

preprocess362.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify266.0ms (1.6%)

localize372.0ms (2.2%)

series4.0ms (0%)

simplify281.0ms (1.7%)

rewrite208.0ms (1.2%)

eval29.0ms (0.2%)

prune4.0ms (0%)

simplify250.0ms (1.5%)

localize409.0ms (2.4%)

series35.0ms (0.2%)

simplify163.0ms (1%)

rewrite186.0ms (1.1%)

eval76.0ms (0.5%)

prune37.0ms (0.2%)

simplify132.0ms (0.8%)

localize610.0ms (3.6%)

series20.0ms (0.1%)

simplify133.0ms (0.8%)

rewrite225.0ms (1.3%)

eval103.0ms (0.6%)

prune409.0ms (2.4%)

simplify115.0ms (0.7%)

localize344.0ms (2%)

series15.0ms (0.1%)

simplify109.0ms (0.6%)

rewrite198.0ms (1.2%)

eval153.0ms (0.9%)

prune26.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify170.0ms (1%)

derivations485.0ms (2.9%)

preprocess44.0ms (0.3%)

end0.0ms (0%)

Profiling