Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze6.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.1s (56.5%)

Memory

-1.0MiB live, 7 167.1MiB allocated

Samples

7.1s	3 849×	2	valid
1.5s	4 337×	1	valid
6.0ms	70×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.2s

ival-tan: 6.9s (83.7% of total)

ival-div: 633.0ms (7.7% of total)

const: 254.0ms (3.1% of total)

adjust: 239.0ms (2.9% of total)

ival-sub: 137.0ms (1.7% of total)

ival-<: 50.0ms (0.6% of total)

ival-and: 13.0ms (0.2% of total)

exact: 5.0ms (0.1% of total)

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

Bogosity

explain509.0ms (3.2%)

Memory

15.3MiB live, 531.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

327.0ms	222×	2	valid
108.0ms	282×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-tan: 348.0ms (84.1% of total)

adjust: 35.0ms (8.5% of total)

ival-div: 20.0ms (4.8% of total)

ival-sub: 10.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess327.0ms (2%)

Memory

-2.2MiB live, 191.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify277.0ms (1.7%)

Memory

-11.5MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (1.4%)

Memory

-7.2MiB live, 272.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(tan.f64 x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	59.655464946820274	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

182.0ms	111×	2	valid
35.0ms	141×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-tan: 187.0ms (90.5% of total)

ival-div: 10.0ms (4.8% of total)

adjust: 6.0ms (2.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

simplify237.0ms (1.5%)

Memory

20.7MiB live, 187.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

rewrite190.0ms (1.2%)

Memory

-1.4MiB live, 151.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 224

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (neg.f64 (tan.f64 x)) x)) (.f64 (neg.f64 (tan.f64 x)) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (tan.f64 x) x)) (.f64 (neg.f64 (tan.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (tan.f64 x) x)) (.f64 (tan.f64 x) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(.f64 (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) x) x) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))))
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(-.f64 (cosh.f64 (log.f64 (tan.f64 x))) (sinh.f64 (log.f64 (tan.f64 x))))
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(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 x)))) #s(literal -1 binary64)))
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(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
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eval28.0ms (0.2%)

Memory: 6.3MiB live, 43.0MiB allocated
Compiler: Compiled 4 521 to 804 computations (82.2% saved)

prune7.0ms (0%)

Memory

-17.0MiB live, 19.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

99.5%

Counts

240 → 4

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 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 78 to 51 computations (34.6% saved)

simplify231.0ms (1.4%)

Memory

-10.7MiB live, 233.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize670.0ms (4.2%)

Memory

38.5MiB live, 309.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
accuracy	0.01171875	(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
accuracy	0.31640625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	0.00390625	(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	0.015625	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
accuracy	0.03728501731558296	#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	0.3125	(.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	0.1598621756780325	#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	0.31640625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.3203125	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.5201658132296565	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Samples

464.0ms	111×	2	valid
152.0ms	141×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 171 to 29 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

ival-tan: 267.0ms (67.5% of total)

ival-div: 32.0ms (8.1% of total)

ival-mult: 28.0ms (7.1% of total)

ival-add: 25.0ms (6.3% of total)

const: 22.0ms (5.6% of total)

adjust: 19.0ms (4.8% 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)

series10.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

15 → 44

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))
3.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify152.0ms (0.9%)

Memory

-3.2MiB live, 109.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

rewrite233.0ms (1.4%)

Memory

-0.8MiB live, 278.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 358

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x))
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(+.f64 (/.f64 #s(literal 8/843908625 binary64) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (.f64 x x) #s(literal 2/4465125 binary64))))) (/.f64 (.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (.f64 x x) #s(literal 2/4465125 binary64))))) (/.f64 #s(literal 8/843908625 binary64) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(+.f64 (.f64 #s(literal 1/4725 binary64) (.f64 x x)) #s(literal 2/945 binary64))
(+.f64 #s(literal 2/945 binary64) (.f64 #s(literal 1/4725 binary64) (.f64 x x)))

eval123.0ms (0.8%)

Memory: -19.9MiB live, 174.7MiB allocated
Compiler: Compiled 22 599 to 2 472 computations (89.1% saved)

prune57.0ms (0.4%)

Memory

10.0MiB live, 49.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	503	8	511
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	503	12	515

Accuracy

100.0%

Counts

515 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	99.3%	#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)))
▶	57.0%	#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))))
▶	34.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
	99.3%	#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 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	13.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/4725 binary64))))))
▶	20.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 666 to 403 computations (39.5% saved)

simplify145.0ms (0.9%)

Memory

34.3MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
cost-diff	3	(+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
cost-diff	6	(fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
cost-diff	0	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	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 #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
cost-diff	0	(/.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)))))
cost-diff	0	#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))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/135 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	677
0	97	642
1	206	578
2	835	509
3	4429	509
0	8196	496

Stop Event

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

Calls

Call 1

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

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

localize554.0ms (3.4%)

Memory

4.9MiB live, 598.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19501879884221007	(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
accuracy	0.2421875	(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.3203125	(*.f64 #s(literal 1/3 binary64) x)
accuracy	41.24116924931824	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x)))))
accuracy	0.03728501731558296	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy	0.08203125	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.1640625	(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
accuracy	49.82697631856139	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.1640625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.2421875	(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.3203125	(*.f64 #s(literal 1/3 binary64) x)
accuracy	27.446204464980546	(/.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	0.06640625	(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)
accuracy	0.1598621756780325	#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	0.1640625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.3125	(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
accuracy	0.1598621756780325	#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))))))
accuracy	0.171875	(.f64 (.f64 x x) #s(literal 1/135 binary64))
accuracy	0.2578125	(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
accuracy	0.3824487913890958	(/.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)))))

Samples

277.0ms	111×	2	valid
175.0ms	141×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 515 to 60 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-tan: 155.0ms (40.7% of total)

adjust: 45.0ms (11.8% of total)

ival-mult: 44.0ms (11.6% of total)

const: 41.0ms (10.8% of total)

ival-pow: 38.0ms (10% of total)

ival-div: 25.0ms (6.6% of total)

ival-add: 16.0ms (4.2% of total)

ival-sub: 15.0ms (3.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series74.0ms (0.5%)

Memory

-1.9MiB live, 35.2MiB allocated

Counts

24 → 41

Calls

Call 1

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

Outputs
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(* 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))))))))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/45 (pow x 3))
(* 1/45 (pow x 2))
(* 1/2025 (pow x 6))
(* 1/9 (pow x 2))
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(* (pow x 2) (+ 1/9 (* -1/135 (pow x 2))))
(* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
(* 1/27 (pow x 3))
(* (pow x 3) (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/135 (pow x 2))
(/ -1/45 (pow x 2))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 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
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 9))
(* (pow x 9) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -1/135 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -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

57.0ms

((- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) 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) (* (* 1/45 (* 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)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (+ (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x)))) (+ (pow (* (* 1/45 (* x x)) x) 3) (pow (* 1/3 x) 3)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* x x) 1/135) (* 1/3 x) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)) (/ (+ (pow (* (* 1/45 (* x x)) x) 3) (pow (* 1/3 x) 3)) (+ (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x))))) (pow (* 1/3 x) 3))

9.0ms

-inf

((- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) 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) (* (* 1/45 (* 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)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (+ (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x)))) (+ (pow (* (* 1/45 (* x x)) x) 3) (pow (* 1/3 x) 3)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* x x) 1/135) (* 1/3 x) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)) (/ (+ (pow (* (* 1/45 (* x x)) x) 3) (pow (* 1/3 x) 3)) (+ (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x))))) (pow (* 1/3 x) 3))

7.0ms

inf

((- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) 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) (* (* 1/45 (* 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)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (+ (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x)))) (+ (pow (* (* 1/45 (* x x)) x) 3) (pow (* 1/3 x) 3)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x))) (* (* x x) 1/135) (* 1/3 x) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)) (/ (+ (pow (* (* 1/45 (* x x)) x) 3) (pow (* 1/3 x) 3)) (+ (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* 1/45 (* x x)) x) (* 1/3 x))))) (pow (* 1/3 x) 3))

simplify112.0ms (0.7%)

Memory

4.9MiB live, 118.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	364
1	326	364
2	912	363
3	3241	359
0	8151	345

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(* 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))))))))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/45 (pow x 3))
(* 1/45 (pow x 2))
(* 1/2025 (pow x 6))
(* 1/9 (pow x 2))
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(* (pow x 2) (+ 1/9 (* -1/135 (pow x 2))))
(* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
(* 1/27 (pow x 3))
(* (pow x 3) (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/135 (pow x 2))
(/ -1/45 (pow x 2))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 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
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 9))
(* (pow x 9) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -1/135 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))

Outputs
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/27 x)
(*.f64 #s(literal 1/27 binary64) x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* 1/2025 (pow x 6))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64)))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/945 binary64))
(* (pow x 2) (+ 1/9 (* -1/135 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) x) x)
(* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal 1/135 binary64)) (*.f64 x x) #s(literal 1/9 binary64)) x) x)
(* 1/27 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(* (pow x 3) (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(* 1/135 (pow x 2))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(/ -1/45 (pow x 2))
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(* -1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/135 binary64))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/135 binary64)) x) x)
(* -1 (/ (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)))
(* (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)
(* 1/91125 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 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
#s(literal 2/945 binary64)
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(-.f64 (-.f64 #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 x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/91125 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64))
(* (pow x 9) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/91125 binary64)))
(* -1/135 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/135 binary64))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/135 binary64)) (pow.f64 x #s(literal 4 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))))

rewrite226.0ms (1.4%)

Memory

14.3MiB live, 210.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	410
0	95	324
1	428	297
2	3681	297
0	8307	290

Stop Event

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

Counts

24 → 1 052

Calls

Call 1

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

Outputs
(/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2460375 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/135 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/9 binary64))
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(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
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eval268.0ms (1.7%)

Memory: -4.9MiB live, 268.0MiB allocated
Compiler: Compiled 73 764 to 5 473 computations (92.6% saved)

prune39.0ms (0.2%)

Memory

6.0MiB live, 90.7MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 395	10	1 405
Fresh	1	2	3
Picked	4	1	5
Done	0	4	4
Total	1 400	17	1 417

Accuracy

100.0%

Counts

1 417 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	46.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x))) x)))
▶	46.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x)))
✓	99.3%	#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)))
	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
	56.9%	#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))))
▶	57.0%	#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))))
	56.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.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))))
	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	13.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/4725 binary64))))))

Compiler

Compiled 939 to 610 computations (35% saved)

simplify127.0ms (0.8%)

Memory

-5.0MiB live, 150.1MiB allocated

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	#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	1	(/.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 (.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	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x)))
cost-diff	1	(neg.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)))
cost-diff	2	(.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x)
cost-diff	6	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x))
cost-diff	0	(*.f64 #s(literal 1/45 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
cost-diff	0	#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
cost-diff	0	(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #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)))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #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))))))
cost-diff	1	(-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/135 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	466
0	82	472
1	166	436
2	558	410
3	2858	388
4	7469	388
0	8127	366

Stop Event

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

Calls

Call 1

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

localize326.0ms (2%)

Memory

-15.6MiB live, 261.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08407517061825105	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
accuracy	0.09765625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1796875	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x)
accuracy	0.203125	(/.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	0.0859375	(.f64 (.f64 x x) #s(literal 1/9 binary64))
accuracy	0.09765625	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.12109375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	12.753109836017236	(/.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	0.08407517061825105	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x)))
accuracy	0.09765625	(.f64 #s(literal -1/45 binary64) (.f64 x x))
accuracy	0.12109375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.21712875976844204	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.08407517061825105	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.109375	(*.f64 #s(literal 1/45 binary64) x)
accuracy	0.12109375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.08407517061825105	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #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))))))
accuracy	0.0859375	(.f64 (.f64 x x) #s(literal 1/135 binary64))
accuracy	0.109375	(*.f64 #s(literal 1/27 binary64) x)
accuracy	0.16796875	(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #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)))))

Samples

120.0ms	52×	2	valid
56.0ms	137×	0	invalid
54.0ms	64×	1	valid
19.0ms	3×	0	valid

Compiler

Compiled 356 to 51 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-tan: 87.0ms (40.4% of total)

ival-mult: 28.0ms (13% of total)

const: 27.0ms (12.5% of total)

ival-add: 24.0ms (11.2% of total)

adjust: 14.0ms (6.5% of total)

ival-div: 14.0ms (6.5% of total)

ival-sub: 9.0ms (4.2% of total)

ival-pow: 8.0ms (3.7% of total)

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

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

26 → 39

Calls

Call 1

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

Outputs
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(* 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))))))))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(pow x 2)
(* 1/45 x)
(* x (pow (sqrt 1/3) 2))
(* x (+ (* 1/45 (pow x 2)) (pow (sqrt 1/3) 2)))
(* 1/45 (pow x 3))
(* 1/45 (pow x 2))
(* 1/2025 (pow x 6))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/135 (pow x 2))
(* -1/45 (pow x 2))
(* 1/9 (pow x 2))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 3) (+ 1/45 (/ (pow (sqrt 1/3) 2) (pow x 2))))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* -1 (* (pow x 3) (- (/ (pow (sqrt -1/3) 2) (pow x 2)) 1/45)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

6.0ms

inf

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

4.0ms

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

simplify234.0ms (1.5%)

Memory

-6.4MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	283
1	277	280
2	731	280
3	2343	280
4	6869	280
0	8546	265

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(* 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))))))))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(pow x 2)
(* 1/45 x)
(* x (pow (sqrt 1/3) 2))
(* x (+ (* 1/45 (pow x 2)) (pow (sqrt 1/3) 2)))
(* 1/45 (pow x 3))
(* 1/45 (pow x 2))
(* 1/2025 (pow x 6))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/135 (pow x 2))
(* -1/45 (pow x 2))
(* 1/9 (pow x 2))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 3) (+ 1/45 (/ (pow (sqrt 1/3) 2) (pow x 2))))
(* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* -1 (* (pow x 3) (- (/ (pow (sqrt -1/3) 2) (pow x 2)) 1/45)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))

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

rewrite265.0ms (1.6%)

Memory

7.7MiB live, 162.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	334
0	81	269
1	336	250
2	2507	250
0	8364	239

Stop Event

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

Counts

26 → 1 670

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2460375 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) (.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2460375 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/135 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))))
(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/135 binary64) (.f64 x x)))
(+.f64 #s(literal 1/9 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/135 binary64) x)))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(.f64 (/.f64 #s(approx ( (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(approx ( (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (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 9 binary64)) #s(literal 1/91125 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) (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))
(.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) 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 (.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))))
(.f64 x (-.f64 (.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal -1/3 binary64)))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (*.f64 x x))))
(.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(.f64 x (-.f64 (.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64) (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 #s(literal -1/3 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/9 binary64)) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x)) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) (/.f64 x (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
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(-.f64 (/.f64 (*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/27 binary64) x)
(*.f64 x #s(literal 1/27 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/135 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/135 binary64) x)) x)
(.f64 (.f64 #s(literal 1/135 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/135 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/135 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))
(.f64 #s(literal -1/45 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 #s(literal 1/45 binary64) x) x))
(.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal 1/45 binary64) (fabs.f64 (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64))))
(.f64 #s(literal 1/45 binary64) (fabs.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/135 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/135 binary64) x)))
(.f64 x (.f64 #s(literal 1/135 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64)))
(fabs.f64 (.f64 #s(literal 1/135 binary64) (.f64 x x)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/9 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x)) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) #s(literal 1/9 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 #s(literal 1/9 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 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 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64)) #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) (sqrt.f64 (.f64 x #s(literal 1/9 binary64))))
(.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) (pow.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fabs.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 1/3 binary64) x)))))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (.f64 x (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal 1/3 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/3 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal -1/45 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) x)) x)
(.f64 (.f64 #s(literal -1/45 binary64) x) x)
(.f64 (.f64 (neg.f64 x) x) #s(literal 1/45 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/45 binary64)))
(.f64 #s(literal -1/45 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/45 binary64) x) (neg.f64 x))
(.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(.f64 x (.f64 #s(literal -1/45 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x))
(.f64 (fabs.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) x))) x)
(.f64 (fabs.f64 (.f64 #s(literal -1/45 binary64) x)) x)
(.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) x)) x)
(.f64 (.f64 #s(literal -1/45 binary64) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/45 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(.f64 #s(literal -1/45 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 1/45 binary64) x) x)
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/45 binary64))))
(.f64 x (.f64 #s(literal 1/45 binary64) x))
(neg.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x))
(fabs.f64 (.f64 #s(literal -1/45 binary64) (.f64 x 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 x #s(literal 1/9 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 x x) #s(literal 1/9 binary64)) x)) (sqrt.f64 (*.f64 x #s(literal 1/9 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #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 (pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x)
(.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 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 x #s(literal 1/9 binary64)) x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/9 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) 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) (pow.f64 (sqrt.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 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 x #s(literal 1/9 binary64))))
(.f64 x (sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
(.f64 x (sqrt.f64 (pow.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(pow.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/9 binary64)))
(fabs.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64))))

eval133.0ms (0.8%)

Memory: 23.5MiB live, 214.2MiB allocated
Compiler: Compiled 38 451 to 3 946 computations (89.7% saved)

prune48.0ms (0.3%)

Memory

-27.6MiB live, 94.7MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 094	6	1 100
Fresh	5	2	7
Picked	4	1	5
Done	0	5	5
Total	1 103	14	1 117

Accuracy

100.0%

Counts

1 117 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
	29.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
✓	99.3%	#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)))
	56.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #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))))
	57.0%	#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 #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))))
	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(approx (- 1/9 ( (* x x) 1/135)) #s(literal 1/9 binary64)))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) 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))))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	13.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/4725 binary64))))))

Compiler

Compiled 1 301 to 472 computations (63.7% saved)

regimes17.0ms (0.1%)

Memory

-4.6MiB live, 34.5MiB allocated

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))) (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))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (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 #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 x x) (.f64 #s(literal 1/45 binary64) x) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* 1/45 (* x x)) x) (* (* 1/45 (* x x)) x)) (* (* x x) 1/9)) (.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))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (sqrt.f64 (.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x))) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x))) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 x #s(literal 1/9 binary64)) x)) (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)) (.f64 (.f64 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))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(approx (- 1/9 ( (* x x) 1/135)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (.f64 #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 x (-.f64 (.f64 (.f64 #s(literal 1/45 binary64) 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))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (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))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/4725 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/729 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))

Outputs

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

Calls

2 calls:

8.0ms	x
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0%)

Memory

10.9MiB live, 11.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	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	`x`
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) 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
99.3%	1	`x`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify168.0ms (1%)

Memory

-24.9MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	97
1	34	97
2	37	97
3	42	97
4	51	97
5	70	97
6	118	97
7	259	97
8	740	97
9	1392	97
10	3380	97
11	3861	97
12	4395	97
13	4840	97
14	5517	97
15	6217	97
16	6673	97
17	6811	97
18	7157	97
19	7502	97
20	7570	97
21	7603	97
22	7646	97
23	7671	97
24	7680	97
25	7920	97

Stop Event

1×	node limit

Calls

Call 1

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

soundness885.0ms (5.5%)

Memory

-37.4MiB live, 277.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	179
0	42	179
1	185	179
2	1394	179
0	8248	179
0	67	167
1	223	167
2	713	161
3	3134	155
4	7304	155
0	8582	139

Stop Event

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

Compiler

Compiled 164 to 74 computations (54.9% saved)

preprocess40.0ms (0.3%)

Memory: 15.5MiB live, 53.2MiB allocated
Compiler: Compiled 258 to 104 computations (59.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0%)

sample9.1s (56.5%)

explain509.0ms (3.2%)

preprocess327.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify277.0ms (1.7%)

localize229.0ms (1.4%)

series4.0ms (0%)

simplify237.0ms (1.5%)

rewrite190.0ms (1.2%)

eval28.0ms (0.2%)

prune7.0ms (0%)

simplify231.0ms (1.4%)

localize670.0ms (4.2%)

series10.0ms (0.1%)

simplify152.0ms (0.9%)

rewrite233.0ms (1.4%)

eval123.0ms (0.8%)

prune57.0ms (0.4%)

simplify145.0ms (0.9%)

localize554.0ms (3.4%)

series74.0ms (0.5%)

simplify112.0ms (0.7%)

rewrite226.0ms (1.4%)

eval268.0ms (1.7%)

prune39.0ms (0.2%)

simplify127.0ms (0.8%)

localize326.0ms (2%)

series17.0ms (0.1%)

simplify234.0ms (1.5%)

rewrite265.0ms (1.6%)

eval133.0ms (0.8%)

prune48.0ms (0.3%)

regimes17.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify168.0ms (1%)

soundness885.0ms (5.5%)

preprocess40.0ms (0.3%)

end0.0ms (0%)

Profiling