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)

sample712.0ms (23.6%)

Results

341.0ms	4038×	1	valid
194.0ms	4218×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-mult: 133.0ms (41.5% of total)

ival-add: 73.0ms (22.8% of total)

ival-sub: 59.0ms (18.4% of total)

backward-pass: 43.0ms (13.4% of total)

const: 12.0ms (3.7% of total)

Bogosity

preprocess245.0ms (8.1%)

Algorithm

2×	egg-herbie

Rules

2954×	`+-lowering-+.f64`
2954×	`+-lowering-+.f32`
2706×	`fma-lowering-fma.f32`
2706×	`fma-lowering-fma.f64`
1988×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	44	24
2	149	18
3	1107	15
4	4621	15
5	6998	15
0	5	8
1	22	7
2	60	5
3	364	5
4	1226	5
5	2702	5
6	6616	5
0	8367	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 (+.f64 x #s(literal 2 binary64)) x)

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

explain65.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(-.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

28.0ms	270×	1	valid
12.0ms	242×	0	valid

Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 5.0ms (25% of total)

ival-mult: 5.0ms (25% of total)

ival-sub: 5.0ms (25% of total)

backward-pass: 4.0ms (20% of total)

const: 1.0ms (5% 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
▶	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

10×	`-lowering-.f32`
10×	`-lowering-.f64`
8×	`fma-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	6	10
2	13	10
3	17	10
0	17	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize15.0ms (0.5%)

Localize:

Found 2 expressions of interest:

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

Results

10.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.9% of total)

ival-add: 1.0ms (27.5% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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))))>

Calls

6 calls:

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

rewrite315.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4256×	`/-lowering-/.f32`
4256×	`/-lowering-/.f64`
2956×	`-lowering-.f32`
2956×	`-lowering-.f64`
1812×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	21	8
2	137	8
3	1121	8
0	8372	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 245

Calls

Call 1

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

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

simplify172.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

3692×	`-lowering-.f32`
3692×	`-lowering-.f64`
1734×	`cube-prod`
1472×	`times-frac`
1430×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	39	84
2	81	84
3	168	84
4	299	84
5	1939	84
6	3019	84
7	4245	84
8	6186	84
9	6783	84
10	7569	84
11	7854	84
0	8061	84

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

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))))

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)

eval28.0ms (0.9%)

Compiler: Compiled 7685 to 811 computations (89.4% saved)

prune27.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	266	3	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	4	270

Accuracy

100.0%

Counts

270 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶	47.8%	(*.f64 x x)
▶	54.9%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

10×	`-lowering-.f32`
10×	`-lowering-.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	10	22
2	15	22
0	15	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.9%)

Localize:

Found 5 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (76.3% of total)

ival-add: 1.0ms (15.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite317.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2540×	`-lowering-.f32`
2540×	`-lowering-.f64`
1774×	`/-lowering-/.f32`
1774×	`/-lowering-/.f64`
1716×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	24	14
2	211	14
3	2493	14
0	8281	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify153.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

3728×	`-lowering-.f32`
3728×	`-lowering-.f64`
1720×	`cube-prod`
1678×	`times-frac`
1256×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	162
1	31	162
2	66	162
3	131	162
4	189	162
5	308	162
6	2345	162
7	3436	162
8	4667	162
9	6605	162
10	7195	162
11	7957	162
0	8003	162

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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)
(* 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)
(* 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)

eval21.0ms (0.7%)

Compiler: Compiled 5376 to 458 computations (91.5% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	224	4	228

Accuracy

100.0%

Counts

228 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	47.8%	(*.f64 x x)
✓	54.9%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 50 to 26 computations (48% saved)

regimes8.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
54.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch21.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.00013975277456022188	2.3363961498030656
11.0ms	-734250.6677821883	-0.00022089140164111118

Results

11.0ms

272×

valid

Compiler

Compiled 184 to 127 computations (31% saved)

Precisions

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

ival-sub: 2.0ms (34.8% of total)

ival-mult: 2.0ms (34.8% of total)

ival-add: 1.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	21	30

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness815.0ms (27.1%)

Rules

4256×	`/-lowering-/.f32`
4256×	`/-lowering-/.f64`
3692×	`-lowering-.f32`
3692×	`-lowering-.f64`
2956×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	21	8
2	137	8
3	1121	8
0	8372	8
0	5	8
1	22	7
2	60	5
3	364	5
4	1226	5
5	2702	5
6	6616	5
0	8367	5
0	12	84
1	39	84
2	81	84
3	168	84
4	299	84
5	1939	84
6	3019	84
7	4245	84
8	6186	84
9	6783	84
10	7569	84
11	7854	84
0	8061	84

Stop Event

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

Compiler

Compiled 83 to 45 computations (45.8% saved)

preprocess29.0ms (1%)

Compiler: Compiled 86 to 34 computations (60.5% saved)

Expanding a square

analyze0.0ms (0%)

sample712.0ms (23.6%)

preprocess245.0ms (8.1%)

explain65.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.5%)

series1.0ms (0%)

rewrite315.0ms (10.4%)

simplify172.0ms (5.7%)

eval28.0ms (0.9%)

prune27.0ms (0.9%)

simplify4.0ms (0.1%)

localize26.0ms (0.9%)

series2.0ms (0.1%)

rewrite317.0ms (10.5%)

simplify153.0ms (5.1%)

eval21.0ms (0.7%)

prune18.0ms (0.6%)

regimes8.0ms (0.3%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

bsearch21.0ms (0.7%)

simplify7.0ms (0.2%)

soundness815.0ms (27.1%)

preprocess29.0ms (1%)

end0.0ms (0%)

Profiling