Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample537.0ms (11.4%)

Memory

8.5MiB live, 1 006.3MiB allocated

Samples

385.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-div: 73.0ms (37.1% of total)

ival-sub: 62.0ms (31.5% of total)

ival-add: 49.0ms (24.9% of total)

ival-true: 6.0ms (3% of total)

exact: 4.0ms (2% of total)

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

Bogosity

preprocess41.0ms (0.9%)

Memory

-13.1MiB live, 65.2MiB allocated

Algorithm

2×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
176×	`times-frac`
130×	`div-sub`
128×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	26	21
2	55	21
3	133	21
4	300	21
5	625	21
6	727	21
7	762	21
8	766	21
0	5	7
1	10	7
2	14	7
3	19	7
4	26	7
5	36	7
6	52	7
7	73	7
8	103	7
9	153	7
10	196	7
11	292	7
12	468	7
13	648	7
0	648	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 1) (- 1 x))

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

Call 2

Inputs
(/ (+ x 1) (- 1 x))
(/ (+ (neg x) 1) (- 1 (neg x)))
(neg (/ (+ (neg x) 1) (- 1 (neg x))))

Outputs
(/ (+ x 1) (- 1 x))
(/ (+ (neg x) 1) (- 1 (neg x)))
(/ (- 1 x) (+ x 1))
(neg (/ (+ (neg x) 1) (- 1 (neg x))))
(/ (- 1 x) (- -1 x))

explain55.0ms (1.2%)

Memory

14.8MiB live, 174.8MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (32% of total)

ival-div: 3.0ms (32% of total)

ival-add: 3.0ms (32% of total)

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

exact: 0.0ms (0% of total)

ival-assert: 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify19.0ms (0.4%)

Memory

-11.3MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	10	15
2	14	15
3	19	15
4	26	15
5	36	15
6	52	15
7	73	15
8	103	15
9	153	15
10	196	15
11	292	15
12	468	15
13	648	15
0	648	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 1) (- 1 x))
(+ x 1)
x
1
(- 1 x)

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

localize18.0ms (0.4%)

Memory

10.8MiB live, 49.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (44.1% of total)

ival-sub: 1.0ms (22% of total)

ival-add: 1.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite265.0ms (5.6%)

Memory

23.8MiB live, 680.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 974×	`/-lowering-/.f32`
2 974×	`/-lowering-/.f64`
2 752×	`accelerator-lowering-fma.f32`
2 752×	`accelerator-lowering-fma.f64`
2 188×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	38	13
2	291	13
3	4102	7
0	10011	7

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 489

Calls

Call 1

Inputs
(/ (+ x 1) (- 1 x))
(+ x 1)
(- 1 x)

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

simplify430.0ms (9.1%)

Memory

-12.1MiB live, 639.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 702×	`accelerator-lowering-fma.f32`
10 702×	`accelerator-lowering-fma.f64`
2 414×	`-lowering-.f32`
2 414×	`-lowering-.f64`
1 974×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	165
1	114	150
2	255	150
3	590	146
4	1225	146
5	2794	146
6	4949	146
7	6697	146
8	7350	146
9	7545	146
10	7569	146
11	7580	146
12	7964	146
0	8165	140

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval109.0ms (2.3%)

Memory: -27.9MiB live, 153.5MiB allocated
Compiler: Compiled 15 596 to 1 058 computations (93.2% saved)

prune63.0ms (1.3%)

Memory

-4.8MiB live, 194.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	519	6	525
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	519	7	526

Accuracy

100.0%

Counts

526 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	54.0%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
	53.2%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
▶	48.3%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
▶	52.9%	#s(literal 1 binary64)
▶	47.0%	#s(literal -1 binary64)

Compiler

Compiled 84 to 63 computations (25% saved)

simplify36.0ms (0.8%)

Memory

15.8MiB live, 57.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
208×	`-lowering-.f32`
208×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	28	50
2	53	48
3	78	48
4	114	48
5	216	48
6	297	48
7	398	48
8	510	48
9	570	48
10	646	48
11	684	48
12	701	48
13	714	48
14	725	48
15	729	48
0	729	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (1.4%)

Memory

5.4MiB live, 123.2MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

26.0ms

256×

valid

Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 8.0ms (54% of total)

ival-add: 4.0ms (27% of total)

ival-mult: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-26.6MiB live, 13.5MiB allocated

Counts

9 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (+ x 1) (/ -1 (/ 1 (+ x -1))))
1.0ms	x	@	inf	(/ 1 (+ x -1))
0.0ms	x	@	0	(/ -2 x)
0.0ms	x	@	-inf	(* x -2)
0.0ms	x	@	-inf	(/ 1 (+ x -1))

rewrite364.0ms (7.7%)

Memory

39.1MiB live, 626.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 026×	`accelerator-lowering-fma.f32`
5 026×	`accelerator-lowering-fma.f64`
3 462×	`-lowering-.f32`
3 462×	`-lowering-.f64`
3 154×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	98	37
2	747	37
3	6688	37
0	8254	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 771

Calls

Call 1

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

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

simplify326.0ms (6.9%)

Memory

-23.9MiB live, 539.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 510×	`accelerator-lowering-fma.f32`
9 510×	`accelerator-lowering-fma.f64`
2 300×	`-lowering-.f32`
2 300×	`-lowering-.f64`
2 012×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	487
1	200	463
2	462	460
3	1129	450
4	2807	442
5	5295	442
0	8109	425

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

eval102.0ms (2.2%)

Memory: 35.9MiB live, 261.8MiB allocated
Compiler: Compiled 17 418 to 2 187 computations (87.4% saved)

prune115.0ms (2.4%)

Memory

-3.3MiB live, 240.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	877	2	879
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	879	7	886

Accuracy

100.0%

Counts

886 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	54.0%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
▶	53.2%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
✓	48.3%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
▶	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
✓	52.9%	#s(literal 1 binary64)
✓	47.0%	#s(literal -1 binary64)

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify86.0ms (1.8%)

Memory

-25.7MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

896×	`accelerator-lowering-fma.f32`
896×	`accelerator-lowering-fma.f64`
408×	`-lowering-.f32`
408×	`-lowering-.f64`
208×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	28	50
2	60	50
3	132	49
4	315	49
5	732	49
6	977	49
7	1301	49
8	1336	49
9	1350	49
10	1352	49
0	1352	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize37.0ms (0.8%)

Memory

-3.4MiB live, 73.9MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.4% of total)

ival-mult: 4.0ms (34.4% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite345.0ms (7.3%)

Memory

16.2MiB live, 589.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 840×	`accelerator-lowering-fma.f32`
4 840×	`accelerator-lowering-fma.f64`
3 770×	`-lowering-.f32`
3 770×	`-lowering-.f64`
3 006×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	81	43
2	647	42
3	7415	42
0	8321	38

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 622

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) x))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
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(/.f64 (-.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))))
(/.f64 (-.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(/.f64 (-.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -512 binary64))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 #s(literal 16 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -512 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 #s(literal 16 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))) (+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 #s(literal 16 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal -8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))) (-.f64 #s(literal 4 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))

simplify551.0ms (11.7%)

Memory

-22.7MiB live, 844.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20 282×	`accelerator-lowering-fma.f32`
20 282×	`accelerator-lowering-fma.f64`
4 032×	`-lowering-.f32`
4 032×	`-lowering-.f64`
1 960×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	555
1	209	518
2	515	506
3	1289	496
4	3375	488
5	7068	488
0	8163	447

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval86.0ms (1.8%)

Memory: 14.5MiB live, 180.0MiB allocated
Compiler: Compiled 17 207 to 1 823 computations (89.4% saved)

prune78.0ms (1.7%)

Memory

7.5MiB live, 205.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	718	0	718
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	718	7	725

Accuracy

100.0%

Counts

725 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	54.0%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
✓	53.2%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
✓	48.3%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
✓	52.9%	#s(literal 1 binary64)
✓	47.0%	#s(literal -1 binary64)

Compiler

Compiled 102 to 60 computations (41.2% saved)

regimes9.0ms (0.2%)

Memory

-23.1MiB live, 18.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
47.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch23.0ms (0.5%)

Memory

11.2MiB live, 50.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.03837535301811298	64.18992844445377
12.0ms	-3936151681.151287	-3.8453382555743923e-7

Samples

10.0ms

288×

valid

Compiler

Compiled 263 to 225 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.9% of total)

ival-sub: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.5%)

Memory

-31.8MiB live, 44.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.03837535301811298	64.18992844445377
12.0ms	-3936151681.151287	-3.8453382555743923e-7

Samples

10.0ms

288×

valid

Compiler

Compiled 191 to 171 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.8% of total)

ival-sub: 1.0ms (19.9% of total)

ival-add: 1.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Memory

-2.5MiB live, 39.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.03837535301811298	64.18992844445377
10.0ms	-3936151681.151287	-3.8453382555743923e-7

Samples

10.0ms

288×

valid

Compiler

Compiled 119 to 117 computations (1.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.1% of total)

ival-sub: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	39	53
2	50	53
3	56	53
4	60	53
5	61	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal -4728779608739021/2251799813685248 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal -4728779608739021/2251799813685248 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness827.0ms (17.6%)

Memory

-2.3MiB live, 322.5MiB allocated

Rules

10 702×	`accelerator-lowering-fma.f32`
10 702×	`accelerator-lowering-fma.f64`
2 974×	`/-lowering-/.f32`
2 974×	`/-lowering-/.f64`
2 752×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	38	13
2	291	13
3	4102	7
0	10011	7
0	40	165
1	114	150
2	255	150
3	590	146
4	1225	146
5	2794	146
6	4949	146
7	6697	146
8	7350	146
9	7545	146
10	7569	146
11	7580	146
12	7964	146
0	8165	140

Stop Event

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

Compiler

Compiled 84 to 40 computations (52.4% saved)

preprocess31.0ms (0.7%)

Memory: 16.9MiB live, 94.5MiB allocated
Compiler: Compiled 140 to 52 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	24
1	26	21
2	55	21
3	133	21
4	300	21
5	625	21
6	727	21
7	762	21
8	766	21
0	5	7
1	10	7
2	14	7
3	19	7
4	26	7
5	36	7
6	52	7
7	73	7
8	103	7
9	153	7
10	196	7
11	292	7
12	468	7
13	648	7
0	648	7

Iter	Nodes	Cost
0	5	15
1	10	15
2	14	15
3	19	15
4	26	15
5	36	15
6	52	15
7	73	15
8	103	15
9	153	15
10	196	15
11	292	15
12	468	15
13	648	15
0	648	15

Iter	Nodes	Cost
0	13	52
1	28	50
2	53	48
3	78	48
4	114	48
5	216	48
6	297	48
7	398	48
8	510	48
9	570	48
10	646	48
11	684	48
12	701	48
13	714	48
14	725	48
15	729	48
0	729	47

Iter	Nodes	Cost
0	10	24
1	26	21
2	55	21
3	133	21
4	300	21
5	625	21
6	727	21
7	762	21
8	766	21
0	5	7
1	10	7
2	14	7
3	19	7
4	26	7
5	36	7
6	52	7
7	73	7
8	103	7
9	153	7
10	196	7
11	292	7
12	468	7
13	648	7
0	648	7

Iter	Nodes	Cost
0	5	15
1	10	15
2	14	15
3	19	15
4	26	15
5	36	15
6	52	15
7	73	15
8	103	15
9	153	15
10	196	15
11	292	15
12	468	15
13	648	15
0	648	15

Iter	Nodes	Cost
0	13	52
1	28	50
2	53	48
3	78	48
4	114	48
5	216	48
6	297	48
7	398	48
8	510	48
9	570	48
10	646	48
11	684	48
12	701	48
13	714	48
14	725	48
15	729	48
0	729	47

analyze1.0ms (0%)

sample537.0ms (11.4%)

preprocess41.0ms (0.9%)

explain55.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.4%)

localize18.0ms (0.4%)

series1.0ms (0%)

rewrite265.0ms (5.6%)

simplify430.0ms (9.1%)

eval109.0ms (2.3%)

prune63.0ms (1.3%)

simplify36.0ms (0.8%)

localize67.0ms (1.4%)

series7.0ms (0.1%)

rewrite364.0ms (7.7%)

simplify326.0ms (6.9%)

eval102.0ms (2.2%)

prune115.0ms (2.4%)

simplify86.0ms (1.8%)

localize37.0ms (0.8%)

series3.0ms (0.1%)

rewrite345.0ms (7.3%)

simplify551.0ms (11.7%)

eval86.0ms (1.8%)

prune78.0ms (1.7%)

regimes9.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch23.0ms (0.5%)

bsearch25.0ms (0.5%)

bsearch24.0ms (0.5%)

simplify9.0ms (0.2%)

soundness827.0ms (17.6%)

preprocess31.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	24
1	26	21
2	55	21
3	133	21
4	300	21
5	625	21
6	727	21
7	762	21
8	766	21
0	5	7
1	10	7
2	14	7
3	19	7
4	26	7
5	36	7
6	52	7
7	73	7
8	103	7
9	153	7
10	196	7
11	292	7
12	468	7
13	648	7
0	648	7

Iter	Nodes	Cost
0	5	15
1	10	15
2	14	15
3	19	15
4	26	15
5	36	15
6	52	15
7	73	15
8	103	15
9	153	15
10	196	15
11	292	15
12	468	15
13	648	15
0	648	15

Iter	Nodes	Cost
0	13	52
1	28	50
2	53	48
3	78	48
4	114	48
5	216	48
6	297	48
7	398	48
8	510	48
9	570	48
10	646	48
11	684	48
12	701	48
13	714	48
14	725	48
15	729	48
0	729	47