Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze6.0ms (0%)

Memory

13.9MiB live, 13.9MiB 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)

sample9.8s (57.3%)

Memory

81.6MiB live, 9 360.1MiB allocated; 2.3s collecting garbage

Samples

7.7s	3 890×	2	valid
1.6s	4 351×	1	valid
2.0ms	15×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.8s

ival-tan: 7.4s (83.4% of total)

ival-div: 528.0ms (6% of total)

adjust: 368.0ms (4.2% of total)

const: 299.0ms (3.4% of total)

ival-sub: 203.0ms (2.3% of total)

ival-<: 48.0ms (0.5% of total)

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

exact: 6.0ms (0.1% of total)

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

Bogosity

explain668.0ms (3.9%)

Memory

9.9MiB live, 536.0MiB allocated; 63ms 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

490.0ms	266×	2	valid
121.0ms	244×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 587.0ms

ival-tan: 493.0ms (84% of total)

ival-sub: 53.0ms (9% of total)

ival-div: 21.0ms (3.6% of total)

adjust: 19.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess379.0ms (2.2%)

Memory

11.4MiB live, 196.5MiB allocated; 18ms 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
▶	7.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify281.0ms (1.6%)

Memory

18.4MiB live, 161.4MiB allocated; 12ms 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)

localize421.0ms (2.5%)

Memory

13.2MiB live, 389.5MiB allocated; 161ms 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	59.383124104882086	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

385.0ms	133×	2	valid
29.0ms	122×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-tan: 332.0ms (90.3% of total)

adjust: 21.0ms (5.7% of total)

ival-div: 11.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

-39.4MiB live, 6.6MiB allocated; 4ms 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
3.0ms	x	@	0	((- (/ 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	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))

simplify242.0ms (1.4%)

Memory

46.0MiB live, 247.4MiB allocated; 60ms 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))

rewrite192.0ms (1.1%)

Memory

18.6MiB live, 163.1MiB allocated; 52ms 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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eval28.0ms (0.2%)

Memory: -3.5MiB live, 41.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 521 to 804 computations (82.2% saved)

prune4.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	236	3	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	3	240

Accuracy

99.5%

Counts

240 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Status

Accuracy

Program

▶

99.5%

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

▶

99.4%

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

▶

98.6%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

simplify184.0ms (1.1%)

Memory

-0.9MiB live, 94.0MiB allocated; 97ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	113
0	29	113
1	53	113
2	146	113
3	522	113
4	1610	113
5	2778	113
6	3199	113
7	3556	113
8	4031	113
9	4750	113
10	6530	113
11	7829	113
0	8039	113

Stop Event

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

Calls

Call 1

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

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

localize355.0ms (2.1%)

Memory

14.5MiB live, 292.3MiB allocated; 29ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
accuracy	0.00390625	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.3203125	(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.07654932247113957	#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	0.32421875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.5586555818231376	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Samples

245.0ms	133×	2	valid
94.0ms	122×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 95 to 21 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-tan: 202.0ms (63.8% of total)

ival-mult: 45.0ms (14.2% of total)

ival-div: 23.0ms (7.3% of total)

adjust: 23.0ms (7.3% of total)

const: 15.0ms (4.7% of total)

ival-add: 6.0ms (1.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

10 → 25

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))

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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

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

2.0ms

inf

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

2.0ms

-inf

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

simplify161.0ms (0.9%)

Memory

-21.9MiB live, 113.5MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	214
1	217	214
2	662	213
3	2603	213
0	8267	197

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite170.0ms (1%)

Memory

25.1MiB live, 127.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	101
0	29	101
1	125	101
2	903	101
0	8566	101

Stop Event

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

Counts

10 → 214

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)))
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eval39.0ms (0.2%)

Memory: -24.9MiB live, 63.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 217 to 1 198 computations (88.3% saved)

prune10.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	271	7	278
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	271	10	281

Accuracy

99.9%

Counts

281 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
▶	50.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	18.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 459 to 301 computations (34.4% saved)

simplify136.0ms (0.8%)

Memory

7.2MiB live, 151.8MiB allocated; 33ms 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 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	1	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
cost-diff	2	(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
cost-diff	2	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
cost-diff	6	(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
cost-diff	9	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/45 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(.f64 #s(literal 1/45 binary64) (.f64 x x))
cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
cost-diff	2	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
cost-diff	0	(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	407
0	62	381
1	134	367
2	500	323
3	2995	317
0	8275	310

Stop Event

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

Calls

Call 1

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

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

localize520.0ms (3%)

Memory

9.6MiB live, 427.4MiB allocated; 44ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
accuracy	0.15625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.3671875	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.3671875	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
accuracy	0.15625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.21484375	(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) x)
accuracy	31.500423204780077	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.15625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
accuracy	0.0859375	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
accuracy	0.15625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.328125	(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
accuracy	0.00390625	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
accuracy	0.10546875	(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
accuracy	0.25390625	(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) x)

Samples

370.0ms	133×	2	valid
97.0ms	122×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 324 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-tan: 205.0ms (54.3% of total)

adjust: 52.0ms (13.8% of total)

ival-mult: 36.0ms (9.5% of total)

ival-sub: 26.0ms (6.9% of total)

const: 23.0ms (6.1% of total)

ival-div: 18.0ms (4.8% of total)

ival-add: 12.0ms (3.2% of total)

ival-pow: 4.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

-17.2MiB live, 28.4MiB allocated; 5ms collecting garbage

Counts

21 → 36

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 (pow x 3))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/9 (pow x 2))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* 1/2025 (pow x 4))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

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

5.0ms

-inf

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

5.0ms

inf

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

simplify160.0ms (0.9%)

Memory

4.5MiB live, 148.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	280
1	259	280
2	727	279
3	2681	279
0	8611	264

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 (pow x 3))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/9 (pow x 2))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* 1/2025 (pow x 4))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))

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

rewrite291.0ms (1.7%)

Memory

9.2MiB live, 293.5MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	260
0	61	204
1	266	193
2	2186	191
0	9145	189

Stop Event

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

Counts

21 → 1 560

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 x (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal -1/3 binary64)))
(.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
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(+.f64 (/.f64 #s(literal 1/91125 binary64) (+.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 (.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 #s(literal 1/91125 binary64) (+.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(+.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 (.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x))) (.f64 x x))
(.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/45 binary64) x))) x)
(.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/45 binary64))) (*.f64 x x))
(.f64 (fabs.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 1/45 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/45 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/45 binary64) x)) x)
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 x x)) #s(literal 1/45 binary64))
(.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x))) (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))))
(.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(*.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))
(.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(.f64 #s(literal 1/45 binary64) (fabs.f64 (.f64 (*.f64 #s(literal 1/45 binary64) x) (pow.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal 1/45 binary64) (.f64 (*.f64 #s(literal 1/45 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) (fabs.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(.f64 (.f64 x x) (fabs.f64 (.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x)))))
(.f64 (.f64 x x) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(pow.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fabs.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)))

eval154.0ms (0.9%)

Memory: -13.6MiB live, 211.9MiB allocated; 30ms collecting garbage
Compiler: Compiled 42 125 to 3 906 computations (90.7% saved)

prune40.0ms (0.2%)

Memory

14.0MiB live, 61.1MiB allocated; 1ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 056	11	1 067
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	1 059	18	1 077

Accuracy

100.0%

Counts

1 077 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
▶	47.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
	47.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
	28.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
	50.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) x) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (neg.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x))))) (.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))
	50.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
▶	50.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
	28.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (sqrt.f64 (.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
	99.2%	#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 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/18225 binary64) #s(literal 1/81 binary64))) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 933 to 585 computations (37.3% saved)

simplify482.0ms (2.8%)

Memory

-8.6MiB live, 111.3MiB allocated; 974ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.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 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
cost-diff	1	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	1	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))
cost-diff	1	(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
cost-diff	2	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
cost-diff	4	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	6	(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/45 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)))
cost-diff	0	#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	1	(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	(-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
cost-diff	1	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	515
0	82	537
1	143	505
2	401	479
3	1952	457
4	5757	457
0	8092	440

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 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 1/4100625 binary64)
#s(literal 1/81 binary64)
(.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#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 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))
(*.f64 x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(sqrt.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/9 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))
(-.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))
(*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 1/4100625 binary64)
#s(literal 1/81 binary64)
(.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#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 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))
(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/9 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/9 binary64) x))))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/9 binary64) x)))
(sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) x))
(*.f64 x #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(sqrt.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/9 binary64) x)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/9 binary64) x)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(.f64 (.f64 #s(literal 1/9 binary64) x) x)
#s(literal 1/9 binary64)
(-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/9 binary64) x)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/9 binary64) x)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
x
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(-.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))
#s(literal 4 binary64)
#s(literal 1/9 binary64)

localize343.0ms (2%)

Memory

-17.5MiB live, 379.4MiB allocated; 62ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
accuracy	0.08984375	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.15234375	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
accuracy	0.09603500976844201	(.f64 (.f64 x x) #s(literal 1/9 binary64))
accuracy	0.15625	(*.f64 #s(literal 1/3 binary64) x)
accuracy	13.754551403469998	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
accuracy	0.09212875976844201	(sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))
accuracy	0.1640625	(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
accuracy	0.1875	(*.f64 x #s(literal 1/9 binary64))
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
accuracy	0.07782300927128945	#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
accuracy	0.18359375	(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.1875	(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
accuracy	0.07421875	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.07654932247113957	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
accuracy	0.125	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x)
accuracy	0.15300751953688405	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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))))

Samples

128.0ms	59×	2	valid
61.0ms	134×	0	invalid
58.0ms	51×	1	valid
37.0ms	11×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 403 to 48 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-tan: 91.0ms (37.9% of total)

ival-mult: 35.0ms (14.6% of total)

const: 34.0ms (14.1% of total)

adjust: 27.0ms (11.2% of total)

ival-div: 20.0ms (8.3% of total)

ival-sub: 15.0ms (6.2% of total)

ival-pow: 8.0ms (3.3% of total)

ival-sqrt: 5.0ms (2.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.3%)

Memory

-18.0MiB live, 27.1MiB allocated; 5ms collecting garbage

Counts

26 → 51

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))
(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/9 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x x) #s(literal 1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))

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))))))))
(* -1/81 x)
(* x (- (* 1/4100625 (pow x 8)) 1/81))
-1/81
(- (* 1/4100625 (pow x 8)) 1/81)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/45 (pow x 2))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/45 (pow x 3))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/9 x)
(* 1/3 (sqrt x))
(* 1/9 (pow x 2))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/4100625 (pow x 9))
(* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* 1/4100625 (pow x 8))
(* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 3) (- (/ (* (sqrt -1) (sqrt -1/9)) (pow x 2)) 1/45)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* x (* (sqrt -1) (sqrt -1/9))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/9))))

Calls

3 calls:

Time

Variable

Point

Expression

43.0ms

-inf

((/ (* (- (* (pow x 8) 1/4100625) 1/81) x) (* (+ (* 1/2025 (pow x 4)) 1/9) (- (* 1/45 (* x x)) 1/3))) (- (/ 1 x) (/ 1 (tan x))) (* (- (* (pow x 8) 1/4100625) 1/81) x) (- (* (pow x 8) 1/4100625) 1/81) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 (* x x)) x) (* (sqrt (* x 1/9)) (sqrt x))) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (/ (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 1/9)) (- (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* 1/45 (* x x)) x) (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 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))) (- (* 1/45 (* x x)) 1/3) (* x 1/9) (* (sqrt (* x 1/9)) (sqrt x)) (sqrt (* x 1/9)) (* 1/3 x) (* (* x x) 1/9) (- (/ 1 x) (/ 1 (tan x))))

8.0ms

inf

((/ (* (- (* (pow x 8) 1/4100625) 1/81) x) (* (+ (* 1/2025 (pow x 4)) 1/9) (- (* 1/45 (* x x)) 1/3))) (- (/ 1 x) (/ 1 (tan x))) (* (- (* (pow x 8) 1/4100625) 1/81) x) (- (* (pow x 8) 1/4100625) 1/81) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 (* x x)) x) (* (sqrt (* x 1/9)) (sqrt x))) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (/ (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 1/9)) (- (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* 1/45 (* x x)) x) (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 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))) (- (* 1/45 (* x x)) 1/3) (* x 1/9) (* (sqrt (* x 1/9)) (sqrt x)) (sqrt (* x 1/9)) (* 1/3 x) (* (* x x) 1/9) (- (/ 1 x) (/ 1 (tan x))))

4.0ms

((/ (* (- (* (pow x 8) 1/4100625) 1/81) x) (* (+ (* 1/2025 (pow x 4)) 1/9) (- (* 1/45 (* x x)) 1/3))) (- (/ 1 x) (/ 1 (tan x))) (* (- (* (pow x 8) 1/4100625) 1/81) x) (- (* (pow x 8) 1/4100625) 1/81) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 (* x x)) x) (* (sqrt (* x 1/9)) (sqrt x))) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (/ (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 1/9)) (- (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* 1/45 (* x x)) x) (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 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))) (- (* 1/45 (* x x)) 1/3) (* x 1/9) (* (sqrt (* x 1/9)) (sqrt x)) (sqrt (* x 1/9)) (* 1/3 x) (* (* x x) 1/9) (- (/ 1 x) (/ 1 (tan x))))

simplify119.0ms (0.7%)

Memory

33.6MiB live, 119.8MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	433
1	395	433
2	1038	431
3	3368	431
0	8180	415

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

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))))))))
(* -1/81 x)
(* x (- (* 1/4100625 (pow x 8)) 1/81))
-1/81
(- (* 1/4100625 (pow x 8)) 1/81)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/45 (pow x 2))
(pow x 2)
(* 1/2025 (pow x 6))
(* 1/45 (pow x 3))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/9 x)
(* 1/3 (sqrt x))
(* 1/9 (pow x 2))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/4100625 (pow x 9))
(* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* 1/4100625 (pow x 8))
(* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 3) (- (/ (* (sqrt -1) (sqrt -1/9)) (pow x 2)) 1/45)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* x (* (sqrt -1) (sqrt -1/9))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/9))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* -1/81 x)
(*.f64 #s(literal -1/81 binary64) x)
(* x (- (* 1/4100625 (pow x 8)) 1/81))
(*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x)
-1/81
#s(literal -1/81 binary64)
(- (* 1/4100625 (pow x 8)) 1/81)
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 2)
(*.f64 x x)
(* 1/2025 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* -1/9 (pow x 2))
(.f64 (.f64 #s(literal -1/9 binary64) x) x)
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* -1/5 (pow x 2)) 3))
(.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x)
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 #s(literal 1/9 binary64) x) x)
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/4100625 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4100625 binary64))
(* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(*.f64 (-.f64 #s(literal 1/4100625 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/4100625 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))
(* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 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 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2025 (pow x 4))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ 45 x)
(/.f64 #s(literal 45 binary64) x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) #s(literal 45 binary64))) x)
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4100625 binary64))) (pow.f64 x #s(literal 9 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 (* (pow x 3) (- (/ (* (sqrt -1) (sqrt -1/9)) (pow x 2)) 1/45)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) (sqrt.f64 #s(literal -1/9 binary64))) #s(literal 1/45 binary64)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(/.f64 (-.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10125 binary64) (/.f64 (/.f64 #s(literal 151875 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -1) (sqrt -1/9))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1/9 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/9))))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1/9 binary64)) (sqrt.f64 x)))

rewrite269.0ms (1.6%)

Memory

-16.9MiB live, 270.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	384
0	82	390
1	293	262
2	2100	254
0	8510	245

Stop Event

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

Counts

26 → 1 509

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))
(/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))
(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/9 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 1/9 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x x) #s(literal 1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))

Outputs
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (/.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) (/.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))
(.f64 x (/.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))) (.f64 (/.f64 (.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))))))
(/.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (-.f64 (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) (sqrt.f64 x)) (.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) (sqrt.f64 x))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) (sqrt.f64 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) x) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x))) x)) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64)) #s(literal 1/729 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))))
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(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/16815125390625 binary64) (pow.f64 x #s(literal 16 binary64))) #s(literal 1/6561 binary64)) (/.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1/81 binary64))))
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(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 1/9 binary64) x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/9 binary64) x)) #s(literal 1/2 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/9 binary64) x) x)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) x))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (fabs.f64 (.f64 #s(literal 1/9 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x)) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) (fabs.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) (fabs.f64 (sqrt.f64 x)))
(.f64 (fabs.f64 (.f64 #s(literal 1/9 binary64) x)) x)
(.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) x))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (fabs.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) x))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/9 binary64))) x)
(.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64))) (sqrt.f64 (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/9 binary64))))
(.f64 (.f64 #s(literal 1/9 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) x)
(.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/3 binary64))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (sqrt.f64 x))
(.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/9 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal 1/9 binary64) x) x)
(.f64 #s(literal 1/3 binary64) (fabs.f64 (.f64 x (*.f64 #s(literal 1/3 binary64) x))))
(.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 (.f64 x (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/9 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/9 binary64) x)))
(.f64 x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 1/9 binary64) x) x))))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 #s(literal 1/9 binary64) x))
(pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))

eval147.0ms (0.9%)

Memory: 24.9MiB live, 296.1MiB allocated; 62ms collecting garbage
Compiler: Compiled 41 355 to 3 962 computations (90.4% saved)

prune34.0ms (0.2%)

Memory

-14.5MiB live, 89.1MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 054	7	1 061
Fresh	5	2	7
Picked	4	1	5
Done	1	5	6
Total	1 064	15	1 079

Accuracy

100.0%

Counts

1 079 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
	47.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/9 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))))
✓	47.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
	47.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
	28.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
	50.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x)) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 8) 1/4100625) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
	50.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 1/9)) (.f64 (.f64 #s(literal -1/9 binary64) x) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (.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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 1 289 to 479 computations (62.8% saved)

regimes14.0ms (0.1%)

Memory

32.8MiB live, 32.8MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 1/9)) (.f64 (.f64 #s(literal -1/9 binary64) x) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x)) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 8) 1/4100625) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (sqrt.f64 (.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) x) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (neg.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x))))) (.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/9 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (.f64 (/.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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
#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 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/18225 binary64) #s(literal 1/81 binary64))) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 8) 1/4100625) 1/81) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes14.0ms (0.1%)

Memory

-25.7MiB live, 20.4MiB allocated; 5ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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 (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 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
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB 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 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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
98.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify185.0ms (1.1%)

Memory

-41.7MiB live, 55.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	152
1	63	152
2	70	152
3	76	152
4	85	152
5	105	152
6	154	152
7	293	152
8	832	152
9	1480	152
10	3383	152
11	3862	152
12	4390	152
13	4844	152
14	5514	152
15	6211	152
16	6667	152
17	6805	152
18	7129	152
19	7471	152
20	7544	152
21	7577	152
22	7620	152
23	7644	152
24	7656	152
25	7893	152

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 8) 1/4100625) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- ( (pow x 8) 1/4100625) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- ( (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

derivations1.0s (6.1%)

Memory

12.7MiB live, 526.9MiB allocated; 60ms 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	157	433
1	395	433
2	1038	431
3	3368	431
0	8180	415
0	19	101
0	29	101
1	125	101
2	903	101
0	8566	101
0	53	384
0	82	390
1	293	262
2	2100	254
0	8510	245
0	82	280
1	259	280
2	727	279
3	2681	279
0	8611	264
0	37	260
0	61	204
1	266	193
2	2186	191
0	9145	189

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

Compiler

Compiled 152 to 56 computations (63.2% saved)

preprocess121.0ms (0.7%)

Memory: 28.5MiB live, 155.9MiB allocated; 37ms collecting garbage
Compiler: Compiled 368 to 158 computations (57.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0%)

sample9.8s (57.3%)

explain668.0ms (3.9%)

preprocess379.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify281.0ms (1.6%)

localize421.0ms (2.5%)

series6.0ms (0%)

simplify242.0ms (1.4%)

rewrite192.0ms (1.1%)

eval28.0ms (0.2%)

prune4.0ms (0%)

simplify184.0ms (1.1%)

localize355.0ms (2.1%)

series6.0ms (0%)

simplify161.0ms (0.9%)

rewrite170.0ms (1%)

eval39.0ms (0.2%)

prune10.0ms (0.1%)

simplify136.0ms (0.8%)

localize520.0ms (3%)

series19.0ms (0.1%)

simplify160.0ms (0.9%)

rewrite291.0ms (1.7%)

eval154.0ms (0.9%)

prune40.0ms (0.2%)

simplify482.0ms (2.8%)

localize343.0ms (2%)

series56.0ms (0.3%)

simplify119.0ms (0.7%)

rewrite269.0ms (1.6%)

eval147.0ms (0.9%)

prune34.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify185.0ms (1.1%)

derivations1.0s (6.1%)

preprocess121.0ms (0.7%)

end0.0ms (0%)

Profiling