Metrics for Expanding a square

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample754.0ms (14.8%)

Memory

26.3MiB live, 701.2MiB allocated

Samples

202.0ms	2 439×	1	valid
161.0ms	1 574×	2	valid
146.0ms	4 243×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

ival-add: 83.0ms (26.6% of total)

ival-mult: 82.0ms (26.3% of total)

adjust: 73.0ms (23.4% of total)

ival-sub: 61.0ms (19.5% of total)

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

exact: 4.0ms (1.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain75.0ms (1.5%)

Memory

4.4MiB live, 103.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`	cancellation	117	0

Confusion

	Predicted +	Predicted -
+	117	0
-	0	139

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	0
-	0	0	139

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	139
1	117

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

11.0ms	92×	2	valid
11.0ms	288×	0	valid
10.0ms	132×	1	valid

Compiler

Compiled 78 to 35 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31% of total)

ival-add: 5.0ms (25.8% of total)

adjust: 4.0ms (20.6% of total)

ival-sub: 4.0ms (20.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess589.0ms (11.6%)

Memory

0.1MiB live, 354.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 298×	`lower-fma.f64`
13 298×	`lower-fma.f32`
3 478×	`lower-+.f32`
3 476×	`lower-+.f64`
2 492×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	26	19
2	88	13
3	328	10
4	1361	10
5	3610	10
6	4907	10
7	5634	10
8	5972	10
9	6053	10
10	6063	10
11	6407	10
12	6575	10
13	6596	10
14	6827	10
15	6841	10
16	6923	10
17	7003	10
18	7040	10
19	7040	10
20	7040	10
21	7044	10
22	7044	10
0	5	9
0	8	9
1	23	7
2	52	5
3	115	5
4	487	5
5	1667	5
6	4146	5
7	5949	5
8	7292	5
0	8168	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 5 computations (50% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Compiler

Compiled 10 to 5 computations (50% saved)

simplify274.0ms (5.4%)

Memory

0.8MiB live, 342.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

New

Metric

Score

Program

cost-diff

(+.f64 x #s(literal 1 binary64))

cost-diff

128

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

cost-diff

256

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

Rules

13 298×	`lower-fma.f64`
13 298×	`lower-fma.f32`
3 478×	`lower-+.f32`
3 476×	`lower-+.f64`
2 492×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	21
0	8	21
1	23	19
2	52	17
3	115	17
4	487	17
5	1667	17
6	4146	17
7	5949	17
8	7292	17
0	8168	16

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.5%)

Memory

1.3MiB live, 34.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	26.582396488111815	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

accuracy

(+.f64 x #s(literal 1 binary64))

accuracy

0.01171875

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

accuracy

26.582396488111815

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

Samples

11.0ms	46×	2	valid
5.0ms	144×	0	valid
5.0ms	66×	1	valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

ival-mult: 3.0ms (33.7% of total)

adjust: 2.0ms (22.5% of total)

ival-add: 2.0ms (22.5% of total)

ival-sub: 2.0ms (22.5% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>

Inputs

#<alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))>

#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))>

#<alt (+.f64 x #s(literal 1 binary64))>

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

Calls

9 calls:

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

simplify653.0ms (12.8%)

Memory

-22.8MiB live, 336.8MiB allocated

Algorithm

1×	egg-herbie

Rules

23 092×	`lower-fma.f64`
23 092×	`lower-fma.f32`
5 874×	`lower-*.f64`
5 874×	`lower-*.f32`
2 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	148
1	58	148
2	115	148
3	287	148
4	561	148
5	2333	148
6	3677	148
7	4526	148
8	5154	148
9	6026	148
10	6363	148
11	6633	148
0	8055	141

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite251.0ms (4.9%)

Memory

32.9MiB live, 253.1MiB allocated

Rules

5 388×	`lower-fma.f64`
5 388×	`lower-fma.f32`
3 116×	`lower-*.f32`
3 114×	`lower-*.f64`
2 562×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	8	15
1	48	15
2	379	13
3	6334	13
0	8237	13

Stop Event

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

Counts

3 → 600

Calls

Call 1

Inputs

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

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

(+.f64 x #s(literal 1 binary64))

Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) #s(literal 2 binary64)))
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(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log1p.f64 x)))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 (.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))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.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 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.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 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.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 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.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 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #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)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.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 #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x 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 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.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)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.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))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

eval270.0ms (5.3%)

Memory: -11.8MiB live, 86.3MiB allocated
Compiler: Compiled 19 216 to 1 655 computations (91.4% saved)

prune76.0ms (1.5%)

Memory

-5.3MiB live, 125.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	724	4	728
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	725	4	729

Accuracy

100.0%

Counts

729 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.5%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶	55.9%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶	46.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify324.0ms (6.4%)

Memory

7.5MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

13 344×	`lower-fma.f64`
13 344×	`lower-fma.f32`
3 492×	`lower-+.f32`
3 490×	`lower-+.f64`
2 440×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	19	70
1	38	64
2	68	58
3	125	58
4	497	58
5	1688	58
6	4188	58
7	6006	58
8	7360	58
0	8141	56

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.8%)

Memory

-17.6MiB live, 41.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	26.582396488111815	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	33.93160299701277	#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	28.196141799373876	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	34.0881447295282	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Samples

10.0ms	144×	0	valid
8.0ms	66×	1	valid
8.0ms	46×	2	valid

Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (45.1% of total)

adjust: 3.0ms (19.3% of total)

ival-add: 3.0ms (19.3% of total)

ival-sub: 2.0ms (12.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))>
#<alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (+.f64 x #s(literal 2 binary64)) x)>
#<alt (+.f64 x #s(literal 2 binary64))>
#<alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))>

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

Calls

24 calls:

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

simplify455.0ms (8.9%)

Memory

20.3MiB live, 403.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 676×	`lower-fma.f64`
20 676×	`lower-fma.f32`
5 526×	`lower-*.f64`
5 526×	`lower-*.f32`
2 632×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	382
1	54	382
2	118	382
3	290	382
4	550	382
5	2135	382
6	3431	382
7	4450	382
8	5094	382
9	5934	382
10	6271	382
11	6534	382
12	7453	382
0	8134	375

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite436.0ms (8.6%)

Memory

-10.5MiB live, 286.2MiB allocated

Rules

7 238×	`lower-fma.f64`
7 238×	`lower-fma.f32`
4 834×	`lower-*.f32`
4 828×	`lower-*.f64`
4 454×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	19	54
1	84	54
2	611	48
0	8510	48

Stop Event

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

Counts

8 → 643

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 x (fma.f64 x x x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (/.f64 (.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
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#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
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eval79.0ms (1.5%)

Memory: 13.6MiB live, 106.8MiB allocated
Compiler: Compiled 18 038 to 1 411 computations (92.2% saved)

prune101.0ms (2%)

Memory

-29.1MiB live, 99.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	737	0	737
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	737	4	741

Accuracy

100.0%

Counts

741 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.5%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	55.9%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓	46.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 48 to 23 computations (52.1% saved)

regimes9.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))

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

#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
98.0%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
98.0%	3	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory

-21.7MiB live, 9.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
46.7%	1	`x`
46.7%	1	`(+.f64 x #s(literal 1 binary64))`
46.7%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
46.7%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`(+.f64 x #s(literal 1 binary64))`
3.5%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
3.5%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000084043527822	3679050108.8835106

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	65
1	27	65
2	31	65
3	34	65
4	37	65
5	40	65

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness574.0ms (11.3%)

Memory

13.4MiB live, 106.6MiB allocated

Rules

23 092×	`lower-fma.f64`
23 092×	`lower-fma.f32`
5 874×	`lower-*.f64`
5 874×	`lower-*.f32`
5 388×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	8	15
1	48	15
2	379	13
3	6334	13
0	8237	13
0	20	148
1	58	148
2	115	148
3	287	148
4	561	148
5	2333	148
6	3677	148
7	4526	148
8	5154	148
9	6026	148
10	6363	148
11	6633	148
0	8055	141

Stop Event

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

Compiler

Compiled 63 to 32 computations (49.2% saved)

preprocess69.0ms (1.4%)

Memory: -38.1MiB live, 38.3MiB allocated
Compiler: Compiled 84 to 36 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample754.0ms (14.8%)

explain75.0ms (1.5%)

preprocess589.0ms (11.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify274.0ms (5.4%)

localize28.0ms (0.5%)

series2.0ms (0%)

simplify653.0ms (12.8%)

rewrite251.0ms (4.9%)

eval270.0ms (5.3%)

prune76.0ms (1.5%)

simplify324.0ms (6.4%)

localize41.0ms (0.8%)

series3.0ms (0.1%)

simplify455.0ms (8.9%)

rewrite436.0ms (8.6%)

eval79.0ms (1.5%)

prune101.0ms (2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness574.0ms (11.3%)

preprocess69.0ms (1.4%)

end0.0ms (0%)

Profiling