Metrics for arccos

analyze5.0ms (0%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
60%	37.5%	25%	0%	0%	37.5%	0%	5
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	6
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	7
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	8
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	9
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	10
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	11
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample822.0ms (8.7%)

Memory

53.7MiB live, 1 375.2MiB allocated

Samples

579.0ms	8 256×	0	valid
1.0ms	16×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-atan: 78.0ms (20.1% of total)

ival-mult: 73.0ms (18.8% of total)

ival-sqrt: 61.0ms (15.7% of total)

ival-div: 57.0ms (14.7% of total)

ival-sub: 55.0ms (14.2% of total)

ival-add: 47.0ms (12.1% of total)

exact: 8.0ms (2.1% of total)

ival-true: 6.0ms (1.5% of total)

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

Bogosity

preprocess51.0ms (0.5%)

Memory

-24.0MiB live, 56.6MiB allocated

Algorithm

2×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
160×	`times-frac`
136×	`associate-l`
132×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	42	33
2	71	33
3	134	33
4	250	33
5	527	33
6	1000	33
7	1040	33
8	1048	33
0	9	11
1	18	11
2	24	11
3	35	11
4	58	11
5	92	11
6	127	11
7	200	11
8	320	11
9	487	11
10	519	11
0	519	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Call 2

Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))))

Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))
(* 2 (atan (sqrt (/ (+ 1 x) (- 1 x)))))
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))))
(* (atan (sqrt (/ (+ 1 x) (- 1 x)))) -2)

explain104.0ms (1.1%)

Memory

0.9MiB live, 195.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
-	-	`(+.f64 #s(literal 1 binary64) x)`
-	-	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
-	-	`#s(literal 2 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 116 to 40 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 6.0ms (20.9% of total)

ival-sub: 6.0ms (20.9% of total)

ival-atan: 5.0ms (17.4% of total)

ival-sqrt: 4.0ms (13.9% of total)

ival-div: 3.0ms (10.5% of total)

ival-mult: 3.0ms (10.5% of total)

exact: 1.0ms (3.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify16.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
74×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	18	44
2	24	44
3	35	44
4	58	44
5	92	44
6	127	44
7	200	44
8	320	44
9	487	44
10	519	44
0	519	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
2
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
1
x
(+ 1 x)

Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2
#s(literal 2 binary64)
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 x) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize36.0ms (0.4%)

Memory

-19.9MiB live, 56.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Samples

25.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 9.0ms (49.6% of total)

ival-div: 2.0ms (11% of total)

ival-mult: 2.0ms (11% of total)

ival-atan: 2.0ms (11% of total)

ival-sqrt: 2.0ms (11% of total)

ival-add: 1.0ms (5.5% 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

6.9MiB live, 6.9MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (sqrt (/ (- 1 x) (+ 1 x)))>
#<alt (/ (- 1 x) (+ 1 x))>

Outputs
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms	x	@	-inf	(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0ms	x	@	-inf	(sqrt (/ (- 1 x) (+ 1 x)))
0.0ms	x	@	inf	(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0ms	x	@	0	(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

rewrite349.0ms (3.7%)

Memory

0.4MiB live, 287.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 152×	`accelerator-lowering-fma.f32`
2 152×	`accelerator-lowering-fma.f64`
2 042×	`-lowering-.f32`
2 042×	`-lowering-.f64`
1 870×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	46	36
2	333	36
3	4591	8
0	9829	8

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 7

Calls

Call 1

Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(atan.f64 #s(literal 1 binary64))
(neg.f64 (atan.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
#s(literal 1 binary64)

simplify304.0ms (3.2%)

Memory

19.0MiB live, 486.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 954×	`accelerator-lowering-fma.f32`
10 954×	`accelerator-lowering-fma.f64`
2 906×	`-lowering-.f32`
2 906×	`-lowering-.f64`
1 802×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	541
1	276	480
2	764	466
3	2114	454
4	6114	448
0	8084	437

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(sqrt -1)
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))
(sqrt -1)
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)

Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) x))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))

eval6.0ms (0.1%)

Memory: -27.1MiB live, 11.9MiB allocated
Compiler: Compiled 614 to 112 computations (81.8% saved)

prune4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Accuracy

100.0%

Counts

56 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
▶	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.7%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
▶	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 54 to 44 computations (18.5% saved)

simplify118.0ms (1.2%)

Memory

-42.1MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan.f64 #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(atan.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))

Rules

2 760×	`accelerator-lowering-fma.f32`
2 760×	`accelerator-lowering-fma.f64`
760×	`-lowering-.f32`
760×	`-lowering-.f64`
448×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	156
1	50	156
2	104	150
3	196	150
4	473	150
5	1083	150
6	1851	150
7	2188	150
8	2269	150
9	2269	150
0	2269	134

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
2
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(+ 1 (* x (+ -1 (* x 1/2))))
1
(* x (+ -1 (* x 1/2)))
x
(+ -1 (* x 1/2))
-1
(* x 1/2)
1/2
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
2
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
1
(* x (+ -1 (* (- 1 x) (* x 1/2))))
x
(+ -1 (* (- 1 x) (* x 1/2)))
-1
(* (- 1 x) (* x 1/2))
(- 1 x)
(* x 1/2)
1/2
(* 2 (atan (- 1 x)))
2
(atan (- 1 x))
(- 1 x)
1
x
(* (atan 1) 2)
(atan 1)
1
2

Outputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x (+ -1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1 (* x 1/2)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
x
(+ -1 (* x 1/2))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
(.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
x
(+ -1 (* (- 1 x) (* x 1/2)))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))
-1
#s(literal -1 binary64)
(* (- 1 x) (* x 1/2))
(.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (atan 1) 2)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(atan 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)

localize176.0ms (1.9%)

Memory

2.8MiB live, 119.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(atan.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
✓	accuracy	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))

Samples

77.0ms

256×

valid

Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 12.0ms (42.9% of total)

ival-atan: 10.0ms (35.7% of total)

ival-add: 4.0ms (14.3% of total)

ival-sub: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

14 → 144

Calls

Call 1

Inputs
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))>
#<alt (atan (+ 1 (* x (+ -1 (* x 1/2)))))>
#<alt (+ 1 (* x (+ -1 (* x 1/2))))>
#<alt (* x (+ -1 (* x 1/2)))>
#<alt (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))>
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))>
#<alt (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))>
#<alt (* x (+ -1 (* (- 1 x) (* x 1/2))))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (atan (- 1 x))>
#<alt (- 1 x)>
#<alt (* (atan 1) 2)>
#<alt (atan 1)>
#<alt (* (- 1 x) (* x 1/2))>

Outputs
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ -1 (* (- 1 x) (* x 1/2))))
1.0ms	x	@	-inf	(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
0.0ms	x	@	-inf	(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
0.0ms	x	@	inf	(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
0.0ms	x	@	inf	(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))

rewrite599.0ms (6.3%)

Memory

36.9MiB live, 857.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 260×	`accelerator-lowering-fma.f32`
11 260×	`accelerator-lowering-fma.f64`
5 630×	`-lowering-.f32`
5 630×	`-lowering-.f64`
3 280×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	118
1	105	118
2	886	112
0	8449	99

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 436

Calls

Call 1

Inputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(+ 1 (* x (+ -1 (* x 1/2))))
(* x (+ -1 (* x 1/2)))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(* 2 (atan (- 1 x)))
(atan (- 1 x))
(- 1 x)
(* (atan 1) 2)
(atan 1)
(* (- 1 x) (* x 1/2))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(fma.f64 x #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) x #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (+.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))))) (+.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))))
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(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64) (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64))) (pow.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) x)
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)
(.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)

simplify373.0ms (3.9%)

Memory

-29.6MiB live, 499.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 542×	`accelerator-lowering-fma.f32`
9 542×	`accelerator-lowering-fma.f64`
2 256×	`-lowering-.f32`
2 256×	`-lowering-.f64`
1 284×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1270
1	253	1254
2	707	1176
3	2221	1160
4	6054	1160
0	8250	1030

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))

Outputs
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* -1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* -1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1/2 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1/2 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))

eval123.0ms (1.3%)

Memory: 1.5MiB live, 156.9MiB allocated
Compiler: Compiled 16 149 to 2 385 computations (85.2% saved)

prune79.0ms (0.8%)

Memory

8.5MiB live, 126.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	632	2	634
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	633	6	639

Accuracy

100.0%

Counts

639 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	98.4%	(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
▶	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
✓	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 63 to 50 computations (20.6% saved)

simplify209.0ms (2.2%)

Memory

8.7MiB live, 134.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(atan.f64 (.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))

Rules

2 776×	`accelerator-lowering-fma.f32`
2 776×	`accelerator-lowering-fma.f64`
768×	`-lowering-.f32`
768×	`-lowering-.f64`
548×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	30	83
2	60	83
3	170	83
4	554	83
5	1335	83
6	2398	83
7	3099	83
8	3215	83
9	3227	83
10	3227	83
11	3285	83
12	3309	83
13	3309	83
0	3309	79

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 2 (atan (/ 1 (/ 1 (- 1 x)))))
2
(atan (/ 1 (/ 1 (- 1 x))))
(/ 1 (/ 1 (- 1 x)))
1
(/ 1 (- 1 x))
(- 1 x)
x
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(+ (* x (* x 1/2)) 1)
(* x (* x 1/2))
x
(* x 1/2)
1/2
1
(- 1 x)
2

Outputs
(* 2 (atan (/ 1 (/ 1 (- 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(atan (/ 1 (/ 1 (- 1 x))))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(/ 1 (/ 1 (- 1 x)))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ 1 (- 1 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+ (* x (* x 1/2)) 1)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(* x (* x 1/2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
2
#s(literal 2 binary64)

localize101.0ms (1.1%)

Memory

2.8MiB live, 41.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(atan.f64 (.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))

Samples

28.0ms

256×

valid

Compiler

Compiled 97 to 17 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.7% of total)

ival-atan: 5.0ms (27.6% of total)

ival-div: 3.0ms (16.6% of total)

ival-sub: 2.0ms (11% of total)

ival-add: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (- 1 x)))>
#<alt (* 2 (atan (/ 1 (/ 1 (- 1 x)))))>
#<alt (atan (/ 1 (/ 1 (- 1 x))))>
#<alt (/ 1 (- 1 x))>
#<alt (* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)>
#<alt (atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))>
#<alt (* (+ (* x (* x 1/2)) 1) (- 1 x))>
#<alt (+ (* x (* x 1/2)) 1)>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
0.0ms	x	@	-inf	(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
0.0ms	x	@	0	(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	inf	(* x 1/2)

rewrite975.0ms (10.3%)

Memory

-19.4MiB live, 556.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 650×	`accelerator-lowering-fma.f32`
4 650×	`accelerator-lowering-fma.f64`
4 192×	`-lowering-.f32`
4 192×	`-lowering-.f64`
2 460×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	66	70
2	463	70
3	5798	70
0	8772	65

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 708

Calls

Call 1

Inputs
(/ 1 (/ 1 (- 1 x)))
(* 2 (atan (/ 1 (/ 1 (- 1 x)))))
(atan (/ 1 (/ 1 (- 1 x))))
(/ 1 (- 1 x))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(+ (* x (* x 1/2)) 1)
(* x 1/2)
(* x (* x 1/2))

Outputs
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(exp.f64 (log1p.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
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(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (.f64 x x))

simplify422.0ms (4.5%)

Memory

11.2MiB live, 879.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 924×	`accelerator-lowering-fma.f32`
15 924×	`accelerator-lowering-fma.f64`
2 806×	`-lowering-.f32`
2 806×	`-lowering-.f64`
2 250×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	848
1	258	834
2	755	826
3	2451	822
4	7197	822
0	8125	776

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* -1/2 (pow x 3))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* -1/2 (pow x 3))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))

eval136.0ms (1.4%)

Memory: -0.9MiB live, 310.7MiB allocated
Compiler: Compiled 22 385 to 2 984 computations (86.7% saved)

prune200.0ms (2.1%)

Memory

-16.8MiB live, 198.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	826	2	828
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	826	8	834

Accuracy

100.0%

Counts

834 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (atan.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
✓	99.7%	(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	98.4%	(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
✓	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
▶	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 109 to 79 computations (27.5% saved)

simplify1.4s (14.6%)

Memory

6.5MiB live, 397.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(.f64 (atan.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	256	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))

Rules

7 868×	`accelerator-lowering-fma.f32`
7 868×	`accelerator-lowering-fma.f64`
2 814×	`-lowering-.f32`
2 814×	`-lowering-.f64`
1 338×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	237
1	57	215
2	130	209
3	352	197
4	1504	197
5	3799	197
6	7005	188
0	8049	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 2 (atan (/ 1 (+ 1 x))))
2
(atan (/ 1 (+ 1 x)))
(/ 1 (+ 1 x))
1
(+ 1 x)
x
(* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)
(atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))))
(* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))
(/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x))))
(+ -1 (* x (* x (* (* x x) 1/4))))
-1
(* x (* x (* (* x x) 1/4)))
x
(* x (* (* x x) 1/4))
(* (* x x) 1/4)
(* x x)
1/4
(/ 1 (- 1 (* x x)))
1
(- 1 (* x x))
(/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))
(/ 1 (+ (* 1/2 (* x x)) -1))
(+ (* 1/2 (* x x)) -1)
(* 1/2 (* x x))
1/2
(+ 1 x)
2

Outputs
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
(atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))))
(atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(+ -1 (* x (* x (* (* x x) 1/4))))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
-1
#s(literal -1 binary64)
(* x (* x (* (* x x) 1/4)))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))
x
(* x (* (* x x) 1/4))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* (* x x) 1/4)
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* x x)
(*.f64 x x)
1/4
#s(literal 1/4 binary64)
(/ 1 (- 1 (* x x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/ 1 (+ (* 1/2 (* x x)) -1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(+ (* 1/2 (* x x)) -1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (* x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
2
#s(literal 2 binary64)

localize89.0ms (0.9%)

Memory

16.5MiB live, 220.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))

Samples

45.0ms

256×

valid

Compiler

Compiled 239 to 27 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 13.0ms (40.9% of total)

ival-div: 8.0ms (25.2% of total)

ival-atan: 5.0ms (15.7% of total)

ival-add: 4.0ms (12.6% of total)

ival-sub: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

series15.0ms (0.2%)

Memory

-11.2MiB live, 28.3MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ 1 x)>
#<alt (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))>
#<alt (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x))))>
#<alt (* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)>
#<alt (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))))>
#<alt (* x (* (* x x) 1/4))>
#<alt (* x (* x (* (* x x) 1/4)))>
#<alt (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))>
#<alt (/ 1 (- 1 (* x x)))>

Outputs
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (+ 1 x))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (* 2 (atan (/ 1 (- 1 (* -1 x)))))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (+ 1 x)))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt (atan (/ 1 (- 1 (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* 1/4 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))))) 1)>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 2))) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 6)))))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/4 (/ 1 (pow x 2))) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/4))>
#<alt (* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 6)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))>
#<alt (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 3))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt (* 1/4 (pow x 4))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -3/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 3/2 x) 3/2)))) 1)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (- 2 (* 2 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 2 (/ 6 (pow x 2))) (* 2 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 2 (/ 6 (pow x 2))) (+ (* 2 (/ 1 x)) (* 6 (/ 1 (pow x 3))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 x)) 2) x)) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 x)) 6) x)) 2) x)) 2) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (pow x 2))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x))))
3.0ms	x	@	inf	(* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)
0.0ms	x	@	-inf	(* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)
0.0ms	x	@	0	(* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)
0.0ms	x	@	0	(* x (* (* x x) 1/4))

rewrite520.0ms (5.5%)

Memory

25.1MiB live, 852.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 456×	`accelerator-lowering-fma.f32`
11 456×	`accelerator-lowering-fma.f64`
5 212×	`-lowering-.f32`
5 212×	`-lowering-.f64`
3 682×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	180
1	135	120
2	1168	102
0	8774	95

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 012

Calls

Call 1

Inputs
(* 2 (atan (/ 1 (+ 1 x))))
(atan (/ 1 (+ 1 x)))
(/ 1 (+ 1 x))
(+ 1 x)
(* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))
(/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x))))
(* (atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x)))) 2)
(atan (* (/ (+ -1 (* x (* x (* (* x x) 1/4)))) (/ 1 (- 1 (* x x)))) (/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))))
(* x (* (* x x) 1/4))
(* x (* x (* (* x x) 1/4)))
(/ (/ 1 (+ (* 1/2 (* x x)) -1)) (+ 1 x))
(/ 1 (- 1 (* x x)))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 x #s(literal 1 binary64))
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(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)))

simplify445.0ms (4.7%)

Memory

15.0MiB live, 700.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 118×	`accelerator-lowering-fma.f32`
11 118×	`accelerator-lowering-fma.f64`
4 354×	`-lowering-.f32`
4 354×	`-lowering-.f64`
2 786×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1628
1	530	1595
2	1573	1578
3	6309	1570
0	8340	1500

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (+ 1 x))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (+ 1 x)))
(atan (/ 1 (- 1 (* -1 x))))
(atan (/ 1 (- 1 (* -1 x))))
(atan (/ 1 (- 1 (* -1 x))))
(atan (/ 1 (- 1 (* -1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* 1/4 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))))) 1)
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 2))) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 6)))))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 2))) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/4))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 6)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))
(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1))))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 3))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
(* 1/4 (pow x 4))
-1
(- x 1)
(- (* x (+ 1 (* -3/2 x))) 1)
(- (* x (+ 1 (* x (- (* 3/2 x) 3/2)))) 1)
(/ 2 (pow x 3))
(/ (- 2 (* 2 (/ 1 x))) (pow x 3))
(/ (- (+ 2 (/ 6 (pow x 2))) (* 2 (/ 1 x))) (pow x 3))
(/ (- (+ 2 (/ 6 (pow x 2))) (+ (* 2 (/ 1 x)) (* 6 (/ 1 (pow x 3))))) (pow x 3))
(/ 2 (pow x 3))
(* -1 (/ (- (* 2 (/ 1 x)) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 x)) 2) x)) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 x)) 6) x)) 2) x)) 2) (pow x 3)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))

Outputs
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (+ 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ 1 (- 1 (* -1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (+ 1 x)))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (- 1 (* -1 x))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (- 1 (* -1 x))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (- 1 (* -1 x))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(atan (/ 1 (- 1 (* -1 x))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
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(* -1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
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(- (pow x 2) 1)
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(- (* (pow x 2) (+ 1 (* 1/4 (pow x 2)))) 1)
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(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))))) 1)
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(* -1/4 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 2))) 1/4))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/4))
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(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 6)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/4 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
(* (pow x 6) (- (* 1/4 (/ 1 (pow x 2))) 1/4))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/4))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x))))
(* (pow x 6) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 6)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(* 2 (atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (- 1 (* -1 x)) (- (* 1/2 (pow x 2)) 1)))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(atan (/ (* (- 1 (pow x 2)) (- (* 1/4 (pow x 4)) 1)) (* (+ 1 x) (- (* 1/2 (pow x 2)) 1))))
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(* 1/4 (pow x 4))
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(* 1/4 (pow x 4))
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(* 1/4 (pow x 4))
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(/ (- 2 (* 2 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 2 (/ 6 (pow x 2))) (* 2 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -2 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 2 (/ 6 (pow x 2))) (+ (* 2 (/ 1 x)) (* 6 (/ 1 (pow x 3))))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 x)) 2) x)) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -2 binary64)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 x)) 6) x)) 2) x)) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) x)) x)) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))) (.f64 x x))) (*.f64 x x))

eval210.0ms (2.2%)

Memory: 8.2MiB live, 490.7MiB allocated
Compiler: Compiled 58 392 to 4 928 computations (91.6% saved)

prune186.0ms (2%)

Memory

19.5MiB live, 333.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 242	2	1 244
Fresh	0	0	0
Picked	1	1	2
Done	1	5	6
Total	1 244	8	1 252

Accuracy

100.0%

Counts

1 252 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
	99.7%	(.f64 (atan.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
✓	98.4%	(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
✓	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	99.2%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
✓	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 245 to 137 computations (44.1% saved)

regimes21.0ms (0.2%)

Memory

-27.4MiB live, 28.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (atan.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(.f64 (atan.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Calls

5 calls:

7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
4.0ms	x
3.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (atan.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(.f64 (atan.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))

Outputs

(*.f64 (atan.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

-30.9MiB live, 8.3MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))

Outputs
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))

(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.1%)

Memory

-14.1MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
24×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	95
1	78	95
2	81	95
3	83	95
4	84	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (atan.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (atan.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (atan.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

soundness1.3s (13.4%)

Memory

-32.0MiB live, 883.4MiB allocated

Rules

15 924×	`accelerator-lowering-fma.f32`
15 924×	`accelerator-lowering-fma.f64`
11 260×	`accelerator-lowering-fma.f32`
11 260×	`accelerator-lowering-fma.f64`
11 118×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	46	36
2	333	36
3	4591	8
0	9829	8
0	93	848
1	258	834
2	755	826
3	2451	822
4	7197	822
0	8125	776
0	15	70
1	66	70
2	463	70
3	5798	70
0	8772	65
0	107	541
1	276	480
2	764	466
3	2114	454
4	6114	448
0	8084	437
0	22	118
1	105	118
2	886	112
0	8449	99
0	185	1628
1	530	1595
2	1573	1578
3	6309	1570
0	8340	1500

Stop Event

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

Compiler

Compiled 259 to 170 computations (34.4% saved)

preprocess81.0ms (0.9%)

Memory: -16.1MiB live, 99.4MiB allocated
Compiler: Compiled 216 to 110 computations (49.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	44
1	18	44
2	24	44
3	35	44
4	58	44
5	92	44
6	127	44
7	200	44
8	320	44
9	487	44
10	519	44
0	519	44

Iter	Nodes	Cost
0	9	44
1	18	44
2	24	44
3	35	44
4	58	44
5	92	44
6	127	44
7	200	44
8	320	44
9	487	44
10	519	44
0	519	44

analyze5.0ms (0%)

sample822.0ms (8.7%)

preprocess51.0ms (0.5%)

explain104.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize36.0ms (0.4%)

series4.0ms (0%)

rewrite349.0ms (3.7%)

simplify304.0ms (3.2%)

eval6.0ms (0.1%)

prune4.0ms (0%)

simplify118.0ms (1.2%)

localize176.0ms (1.9%)

series10.0ms (0.1%)

rewrite599.0ms (6.3%)

simplify373.0ms (3.9%)

eval123.0ms (1.3%)

prune79.0ms (0.8%)

simplify209.0ms (2.2%)

localize101.0ms (1.1%)

series5.0ms (0%)

rewrite975.0ms (10.3%)

simplify422.0ms (4.5%)

eval136.0ms (1.4%)

prune200.0ms (2.1%)

simplify1.4s (14.6%)

localize89.0ms (0.9%)

series15.0ms (0.2%)

rewrite520.0ms (5.5%)

simplify445.0ms (4.7%)

eval210.0ms (2.2%)

prune186.0ms (2%)

regimes21.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify12.0ms (0.1%)

soundness1.3s (13.4%)

preprocess81.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	44
1	18	44
2	24	44
3	35	44
4	58	44
5	92	44
6	127	44
7	200	44
8	320	44
9	487	44
10	519	44
0	519	44