Metrics for Expanding a square

analyze0.0ms (0%)

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 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample838.0ms (32.5%)

Results

415.0ms	4010×	1	valid
234.0ms	4246×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-mult: 118.0ms (33.7% of total)

ival-add: 92.0ms (26.3% of total)

ival-sub: 66.0ms (18.9% of total)

backward-pass: 60.0ms (17.2% of total)

const: 13.0ms (3.7% of total)

Bogosity

preprocess253.0ms (9.8%)

Algorithm

2×	egg-herbie

Rules

2194×	`+-lowering-+.f64`
2194×	`+-lowering-+.f32`
1388×	`fmsub-define`
1314×	`fmm-def`
1214×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	40	19
2	126	18
3	885	17
4	2853	15
5	6900	15
0	5	6
1	20	6
2	50	6
3	300	5
4	549	5
5	1872	5
6	4091	5
7	6729	5
0	8346	5

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(- (* (+ x 1) (+ x 1)) 1)
(* x (+ x 2))
(- (* (+ (neg x) 1) (+ (neg x) 1)) 1)
(* x (+ x -2))
(neg (- (* (+ (neg x) 1) (+ (neg x) 1)) 1))
(* x (- 2 x))

explain85.0ms (3.3%)

FPErrors

Click to see full error table

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

Results

38.0ms	242×	1	valid
20.0ms	270×	0	valid

Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (32.3% of total)

ival-add: 5.0ms (23.1% of total)

backward-pass: 5.0ms (23.1% of total)

ival-sub: 4.0ms (18.5% of total)

const: 1.0ms (4.6% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))

Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify123.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

1974×	`+-lowering-+.f64`
1974×	`+-lowering-+.f32`
1428×	`fmsub-define`
1328×	`--lowering--.f32`
1328×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	30	24
2	64	24
3	334	24
4	591	24
5	2036	24
6	4484	24
7	7233	24
0	8043	24

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize58.0ms (2.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	55.4%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))

Results

32.0ms	121×	1	valid
14.0ms	135×	0	valid

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 11.0ms (51.7% of total)

ival-mult: 5.0ms (23.5% of total)

backward-pass: 3.0ms (14.1% of total)

ival-sub: 2.0ms (9.4% of total)

const: 1.0ms (4.7% of total)

series3.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

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 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)))))>
#<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

15 calls:

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

rewrite170.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2074×	`+-lowering-+.f64`
2074×	`+-lowering-+.f32`
1432×	`fmsub-define`
1364×	`fma-lowering-fma.f32`
1364×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	31	20
2	69	20
3	356	20
4	630	20
5	2076	20
6	4550	20
7	7741	20
0	8318	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 468

Calls

Call 1

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

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

simplify217.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

4158×	`-lowering-.f32`
4158×	`-lowering-.f64`
2100×	`fma-define`
2096×	`+-lowering-+.f64`
2096×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	232
1	67	219
2	160	219
3	365	219
4	745	219
5	2503	219
6	4403	219
7	5253	219
8	5691	219
9	6027	219
10	6387	219
11	6815	219
0	8004	219

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

eval59.0ms (2.3%)

Compiler: Compiled 6011 to 714 computations (88.1% saved)

prune40.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	571	2	573
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	572	3	575

Accuracy

100.0%

Counts

575 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
▶	54.0%	(*.f64 x x)
▶	48.9%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

6×	`-lowering-.f32`
6×	`-lowering-.f64`
2×	`*-commutative`
2×	`square-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	6	8
0	6	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x 2)
x
2
(* x x)
x

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

localize22.0ms (0.9%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Results

17.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-mult: 5.0ms (93.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* x 2)>
#<alt (* x x)>

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 (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)>

Calls

6 calls:

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

rewrite10.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

10×	`-lowering-.f32`
10×	`-lowering-.f64`
6×	`pow-to-exp`
6×	`exp-lowering-exp.f32`
6×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
3	14	5
4	22	5
5	26	5
6	29	5
0	29	5

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 6

Calls

Call 1

Inputs
(* x 2)
(* x x)

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`-lowering-.f32`
6×	`-lowering-.f64`
2×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	72
1	6	60
2	7	60
0	7	60

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)
(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)

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)
(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)

eval4.0ms (0.1%)

Compiler: Compiled 95 to 11 computations (88.4% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	30	3	33

Accuracy

100.0%

Counts

33 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	54.0%	(*.f64 x x)
✓	48.9%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 35 to 19 computations (45.7% saved)

regimes7.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch27.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0029196612053574433	10025916205.515564
12.0ms	-58.76366827246719	-4.924371755026608e-14

Results

15.0ms

320×

valid

Compiler

Compiled 214 to 148 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (33% of total)

ival-mult: 2.0ms (33% of total)

ival-sub: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	17	23

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -2 binary64)) (*.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x)))

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

Outputs

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

(if (<=.f64 x #s(literal -2 binary64)) (*.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x)))

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

soundness617.0ms (23.9%)

Rules

4158×	`-lowering-.f32`
4158×	`-lowering-.f64`
2194×	`+-lowering-+.f64`
2194×	`+-lowering-+.f32`
2100×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	20	6
2	50	6
3	300	5
4	549	5
5	1872	5
6	4091	5
7	6729	5
0	8346	5
0	21	232
1	67	219
2	160	219
3	365	219
4	745	219
5	2503	219
6	4403	219
7	5253	219
8	5691	219
9	6027	219
10	6387	219
11	6815	219
0	8004	219

Stop Event

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

Compiler

Compiled 62 to 35 computations (43.5% saved)

preprocess25.0ms (1%)

Compiler: Compiled 72 to 32 computations (55.6% saved)

Expanding a square

analyze0.0ms (0%)

sample838.0ms (32.5%)

preprocess253.0ms (9.8%)

explain85.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify123.0ms (4.8%)

localize58.0ms (2.3%)

series3.0ms (0.1%)

rewrite170.0ms (6.6%)

simplify217.0ms (8.4%)

eval59.0ms (2.3%)

prune40.0ms (1.5%)

simplify3.0ms (0.1%)

localize22.0ms (0.9%)

series1.0ms (0.1%)

rewrite10.0ms (0.4%)

simplify4.0ms (0.2%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes7.0ms (0.3%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

bsearch27.0ms (1%)

simplify6.0ms (0.2%)

soundness617.0ms (23.9%)

preprocess25.0ms (1%)

end0.0ms (0%)

Profiling