Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze6.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

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)

sample10.1s (61.3%)

Memory

115.8MiB live, 9 993.4MiB allocated; 2.6s collecting garbage

Samples

7.7s	3 936×	2	valid
2.0s	4 302×	1	valid
2.0ms	18×	0	valid

Precisions

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

ival-tan: 7.7s (83.3% of total)

const: 458.0ms (4.9% of total)

ival-div: 450.0ms (4.8% of total)

adjust: 427.0ms (4.6% of total)

ival-sub: 148.0ms (1.6% of total)

ival-<: 46.0ms (0.5% of total)

ival-and: 13.0ms (0.1% of total)

exact: 6.0ms (0.1% of total)

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

Bogosity

explain553.0ms (3.4%)

Memory

-9.2MiB live, 468.3MiB allocated; 90ms collecting garbage

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

391.0ms	250×	2	valid
62.0ms	262×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 432.0ms

ival-tan: 379.0ms (87.8% of total)

ival-div: 29.0ms (6.7% of total)

adjust: 18.0ms (4.2% of total)

ival-sub: 6.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess334.0ms (2%)

Memory

6.9MiB live, 190.9MiB allocated; 23ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify269.0ms (1.6%)

Memory

-8.4MiB live, 122.6MiB allocated; 19ms collecting garbage

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)

localize254.0ms (1.5%)

Memory

31.6MiB live, 226.7MiB allocated; 27ms collecting garbage

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	0.0078125	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	59.86046179658085	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

204.0ms	125×	2	valid
31.0ms	131×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-tan: 176.0ms (85.6% of total)

ival-div: 18.0ms (8.7% of total)

adjust: 9.0ms (4.4% of total)

ival-sub: 3.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

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))

simplify220.0ms (1.3%)

Memory

-5.2MiB live, 174.1MiB allocated; 24ms collecting garbage

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))

rewrite165.0ms (1%)

Memory

1.8MiB live, 146.5MiB allocated; 16ms collecting garbage

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

eval30.0ms (0.2%)

Memory: -5.8MiB live, 39.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 521 to 804 computations (82.2% saved)

prune4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accuracy

99.5%

Counts

240 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify207.0ms (1.3%)

Memory

4.4MiB live, 144.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize304.0ms (1.8%)

Memory

-13.2MiB live, 219.4MiB allocated; 40ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	#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	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.3359375	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.37148763273375085	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Samples

213.0ms	125×	2	valid
78.0ms	131×	1	valid

Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-tan: 196.0ms (78.4% of total)

adjust: 14.0ms (5.6% of total)

const: 14.0ms (5.6% of total)

ival-div: 11.0ms (4.4% of total)

ival-mult: 9.0ms (3.6% of total)

ival-sub: 3.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

6 → 13

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify495.0ms (3%)

Memory

9.2MiB live, 167.9MiB allocated; 961ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite150.0ms (0.9%)

Memory

-51.6MiB live, 154.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 131

Calls

Call 1

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

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

eval18.0ms (0.1%)

Memory: 32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 360 to 581 computations (86.7% saved)

prune10.0ms (0.1%)

Memory

-26.8MiB live, 19.9MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	135	7	142
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	135	9	144

Accuracy

100.0%

Counts

144 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	53.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) x))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
✓	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 449 to 315 computations (29.8% saved)

simplify173.0ms (1.1%)

Memory

27.1MiB live, 125.0MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize660.0ms (4%)

Memory

21.3MiB live, 394.2MiB allocated; 73ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.18359375	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.37109375	(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
accuracy	0.38671875	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.18359375	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.26171875	(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
accuracy	0.26953125	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
accuracy	0.07421875	(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.1484375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.34765625	(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x)
accuracy	0.36328125	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.00390625	(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.00390625	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.26953125	(*.f64 #s(literal 1/45 binary64) x)
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.07421875	(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.14453125	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1484375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.19140625	(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))

Samples

265.0ms	106×	2	valid
195.0ms	48×	3	valid
161.0ms	102×	1	valid

Compiler

Compiled 357 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 517.0ms

ival-tan: 295.0ms (57.1% of total)

adjust: 103.0ms (19.9% of total)

const: 31.0ms (6% of total)

ival-mult: 28.0ms (5.4% of total)

ival-div: 26.0ms (5% of total)

ival-sub: 17.0ms (3.3% of total)

ival-pow: 8.0ms (1.5% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series55.0ms (0.3%)

Memory

-15.0MiB live, 30.6MiB allocated; 5ms collecting garbage

Counts

23 → 53

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

42.0ms

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

6.0ms

inf

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

5.0ms

-inf

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

simplify119.0ms (0.7%)

Memory

-2.9MiB live, 139.0MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

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

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

rewrite247.0ms (1.5%)

Memory

28.2MiB live, 358.7MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

23 → 1 043

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
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(sqrt.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/135 binary64) (.f64 x x))))
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eval125.0ms (0.8%)

Memory: -32.3MiB live, 150.0MiB allocated; 39ms collecting garbage
Compiler: Compiled 28 365 to 2 908 computations (89.7% saved)

prune17.0ms (0.1%)

Memory

36.8MiB live, 36.8MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	708	8	716
Fresh	2	0	2
Picked	4	1	5
Done	0	2	2
Total	714	11	725

Accuracy

100.0%

Counts

725 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	24.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
	53.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
✓	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	37.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 550 to 418 computations (24% saved)

simplify131.0ms (0.8%)

Memory

-20.3MiB live, 73.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
cost-diff	0	(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
cost-diff	0	#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	532
0	103	532
1	155	532
2	298	532
3	612	532
4	1051	532
5	1484	532
6	1969	532
7	2604	532
8	3608	532
9	5133	532
10	7977	532
0	8009	525

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
#s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(pow.f64 x #s(literal 12 binary64))
x
#s(literal 12 binary64)
#s(literal 1/8303765625 binary64)
#s(literal 1/729 binary64)
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 1/4100625 binary64)
(fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))
#s(literal 1/18225 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/81 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
#s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(.f64 #s(literal 1/135 binary64) (.f64 x x))
#s(literal 1/135 binary64)
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))
(-.f64 (*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)))
(pow.f64 x #s(literal 12 binary64))
x
#s(literal 12 binary64)
#s(literal 1/8303765625 binary64)
#s(literal 1/729 binary64)
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 1/4100625 binary64)
(fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))
#s(literal 1/18225 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/81 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

localize607.0ms (3.7%)

Memory

28.7MiB live, 543.4MiB allocated; 98ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (.f64 x x) #s(literal 1/45 binary64))
accuracy	0.41796875	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
accuracy	0.5537300293053261	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
accuracy	0.9765625	(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
accuracy	0.18359375	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.37109375	(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
accuracy	0.38671875	(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
accuracy	0.00390625	(pow.f64 x #s(literal 6 binary64))
accuracy	0.00390625	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
accuracy	0.26953125	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
accuracy	0.4477528033356865	#s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))
accuracy	0.00390625	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
accuracy	0.1484375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.34765625	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
accuracy	0.36328125	(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.00390625	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
accuracy	0.14453125	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1484375	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.19140625	(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))

Samples

285.0ms	106×	2	valid
137.0ms	48×	3	valid
132.0ms	102×	1	valid

Compiler

Compiled 406 to 60 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

ival-tan: 199.0ms (40.7% of total)

const: 98.0ms (20% of total)

adjust: 76.0ms (15.5% of total)

ival-mult: 39.0ms (8% of total)

ival-div: 30.0ms (6.1% of total)

ival-pow: 22.0ms (4.5% of total)

ival-sub: 15.0ms (3.1% of total)

ival-add: 8.0ms (1.6% of total)

exact: 1.0ms (0.2% of total)

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

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

series23.0ms (0.1%)

Memory

-20.9MiB live, 23.5MiB allocated; 7ms collecting garbage

Counts

24 → 69

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* -1/729 x)
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
-1/729
(- (* 1/8303765625 (pow x 12)) 1/729)
(* 1/45 (pow x 2))
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(* 1/135 (pow x 2))
-1/243
(- (* 1/3645 (pow x 2)) 1/243)
(- (* (pow x 2) (+ 1/3645 (* -1/54675 (pow x 2)))) 1/243)
(- (* (pow x 2) (+ 1/3645 (* (pow x 2) (- (* 1/820125 (pow x 2)) 1/54675)))) 1/243)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/8303765625 (pow x 13))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* 1/8303765625 (pow x 12))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* 1/184528125 (pow x 10))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (pow x 6) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 12) 1/8303765625) 1/729) x) (* (+ (* (pow x 8) 1/4100625) (+ (* 1/18225 (pow x 4)) 1/81)) (- (* (* x x) 1/45) 1/3))) (* (- (* (pow x 12) 1/8303765625) 1/729) x) (- (* (pow x 12) 1/8303765625) 1/729) (* 1/45 (* x x)) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)) (* (+ (* (pow x 8) 1/4100625) (+ (* 1/18225 (pow x 4)) 1/81)) (- (* (* x x) 1/45) 1/3)) (* (* x x) 1/45))

6.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (pow x 6) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 12) 1/8303765625) 1/729) x) (* (+ (* (pow x 8) 1/4100625) (+ (* 1/18225 (pow x 4)) 1/81)) (- (* (* x x) 1/45) 1/3))) (* (- (* (pow x 12) 1/8303765625) 1/729) x) (- (* (pow x 12) 1/8303765625) 1/729) (* 1/45 (* x x)) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)) (* (+ (* (pow x 8) 1/4100625) (+ (* 1/18225 (pow x 4)) 1/81)) (- (* (* x x) 1/45) 1/3)) (* (* x x) 1/45))

6.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* 1/2025 (pow x 4)) 1/9) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* 1/91125 (pow x 6)) 1/27) (pow x 6) (- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow x 6)) 1/27) x) (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* (+ (* 1/91125 (pow x 6)) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 12) 1/8303765625) 1/729) x) (* (+ (* (pow x 8) 1/4100625) (+ (* 1/18225 (pow x 4)) 1/81)) (- (* (* x x) 1/45) 1/3))) (* (- (* (pow x 12) 1/8303765625) 1/729) x) (- (* (pow x 12) 1/8303765625) 1/729) (* 1/45 (* x x)) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)) (* (+ (* (pow x 8) 1/4100625) (+ (* 1/18225 (pow x 4)) 1/81)) (- (* (* x x) 1/45) 1/3)) (* (* x x) 1/45))

simplify129.0ms (0.8%)

Memory

32.3MiB live, 126.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	671
1	645	671
2	1736	668
3	5935	668
0	8259	651

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* -1/729 x)
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
-1/729
(- (* 1/8303765625 (pow x 12)) 1/729)
(* 1/45 (pow x 2))
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(* 1/135 (pow x 2))
-1/243
(- (* 1/3645 (pow x 2)) 1/243)
(- (* (pow x 2) (+ 1/3645 (* -1/54675 (pow x 2)))) 1/243)
(- (* (pow x 2) (+ 1/3645 (* (pow x 2) (- (* 1/820125 (pow x 2)) 1/54675)))) 1/243)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/8303765625 (pow x 13))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* 1/8303765625 (pow x 12))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* 1/184528125 (pow x 10))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* -1/5 (pow x 2)) 3))
(.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(* 1/27 x)
(*.f64 #s(literal 1/27 binary64) x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(* -1/729 x)
(*.f64 #s(literal -1/729 binary64) x)
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
-1/729
#s(literal -1/729 binary64)
(- (* 1/8303765625 (pow x 12)) 1/729)
(-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3/5 (pow x 2))))
(.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/375 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5625 binary64) (.f64 x x)) #s(literal 1/375 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* 1/3645 (pow x 2)) 1/243)
(-.f64 (.f64 #s(literal 1/3645 binary64) (.f64 x x)) #s(literal 1/243 binary64))
(- (* (pow x 2) (+ 1/3645 (* -1/54675 (pow x 2)))) 1/243)
(fma.f64 #s(literal -1/54675 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3645 binary64) (.f64 x x)) #s(literal 1/243 binary64)))
(- (* (pow x 2) (+ 1/3645 (* (pow x 2) (- (* 1/820125 (pow x 2)) 1/54675)))) 1/243)
(fma.f64 (-.f64 (.f64 #s(literal 1/820125 binary64) (.f64 x x)) #s(literal 1/54675 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3645 binary64) (.f64 x x)) #s(literal 1/243 binary64)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/2025 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ 45 x)
(/.f64 #s(literal 45 binary64) x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) #s(literal 45 binary64))) x)
(* 1/2025 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/91125 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(* -1/135 (pow x 2))
(.f64 #s(literal -1/135 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/135 binary64)) x) x)
(* 1/91125 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)))
(* 1/8303765625 (pow x 13))
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8303765625 binary64))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(*.f64 (-.f64 #s(literal 1/8303765625 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 x #s(literal 13 binary64)))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(*.f64 (-.f64 #s(literal 1/8303765625 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 x #s(literal 12 binary64)))
(/ 2025 (pow x 3))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -30375 binary64) (.f64 x x)) #s(literal 2025 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/184528125 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/184528125 binary64))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal 1/12301875 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/820125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/184528125 binary64)) (/.f64 #s(literal 1/12301875 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/820125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/184528125 binary64)) (/.f64 #s(literal 1/12301875 binary64) (.f64 x x))) (/.f64 #s(literal 1/54675 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10125 binary64) (/.f64 #s(literal 151875 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/8303765625 binary64))) (pow.f64 x #s(literal 13 binary64)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) #s(literal -1 binary64) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))

rewrite193.0ms (1.2%)

Memory

2.2MiB live, 186.9MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	398
0	103	398
1	327	398
2	2167	370
0	8910	363

Stop Event

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

Counts

24 → 349

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (* 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))

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

eval59.0ms (0.4%)

Memory: -19.1MiB live, 71.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 18 607 to 1 971 computations (89.4% saved)

prune15.0ms (0.1%)

Memory

38.0MiB live, 38.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	404	4	408
Fresh	0	3	3
Picked	3	2	5
Done	0	3	3
Total	407	12	419

Accuracy

100.0%

Counts

419 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	24.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
	53.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 12) 1/8303765625) 1/729) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(approx (- 1/9 (* 1/135 (* x x))) #s(literal 1/9 binary64)))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
✓	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	37.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 981 to 423 computations (56.9% saved)

regimes14.0ms (0.1%)

Memory

-25.9MiB live, 18.7MiB allocated; 5ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) #s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( 1/2025 (pow x 4)) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(approx (- 1/9 (* 1/135 (* x x))) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (- (* 1/2025 (pow x 4)) 1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 12) 1/8303765625) 1/729) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) x))

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

Calls

2 calls:

9.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	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

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

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
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.9%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

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
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.9%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify70.0ms (0.4%)

Memory

-26.8MiB live, 72.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	127
1	79	127
2	159	127
3	331	127
4	487	127
5	543	127
6	642	127
7	882	127
8	1462	127
9	2678	127
10	5850	127
11	7321	127

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations657.0ms (4%)

Memory

5.0MiB live, 422.5MiB allocated; 65ms collecting garbage

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
0	186	514
1	528	514
2	1464	511
3	5139	511
0	8175	496
0	239	671
1	645	671
2	1736	668
3	5935	668
0	8259	651
0	14	49
0	19	49
1	82	49
2	572	49
3	7446	49
0	8151	49

Stop Event

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

Compiler

Compiled 127 to 56 computations (55.9% saved)

preprocess39.0ms (0.2%)

Memory: 13.6MiB live, 59.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 318 to 158 computations (50.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0%)

sample10.1s (61.3%)

explain553.0ms (3.4%)

preprocess334.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify269.0ms (1.6%)

localize254.0ms (1.5%)

series4.0ms (0%)

simplify220.0ms (1.3%)

rewrite165.0ms (1%)

eval30.0ms (0.2%)

prune4.0ms (0%)

simplify207.0ms (1.3%)

localize304.0ms (1.8%)

series5.0ms (0%)

simplify495.0ms (3%)

rewrite150.0ms (0.9%)

eval18.0ms (0.1%)

prune10.0ms (0.1%)

simplify173.0ms (1.1%)

localize660.0ms (4%)

series55.0ms (0.3%)

simplify119.0ms (0.7%)

rewrite247.0ms (1.5%)

eval125.0ms (0.8%)

prune17.0ms (0.1%)

simplify131.0ms (0.8%)

localize607.0ms (3.7%)

series23.0ms (0.1%)

simplify129.0ms (0.8%)

rewrite193.0ms (1.2%)

eval59.0ms (0.4%)

prune15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify70.0ms (0.4%)

derivations657.0ms (4%)

preprocess39.0ms (0.2%)

end0.0ms (0%)

Profiling