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)

sample825.0ms (18.7%)

Results

408.0ms	4064×	1	valid
196.0ms	4192×	0	valid

Precisions

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

ival-mult: 92.0ms (29.5% of total)

ival-add: 81.0ms (26% of total)

ival-sub: 63.0ms (20.2% of total)

backward-pass: 62.0ms (19.9% of total)

const: 14.0ms (4.5% of total)

Bogosity

preprocess287.0ms (6.5%)

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	21
1	46	19
2	151	17
3	1114	15
4	4617	15
5	7001	15
0	5	6
1	23	6
2	61	5
3	367	5
4	1235	5
5	2717	5
6	6625	5
0	8378	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)

explain78.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.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

36.0ms	248×	1	valid
18.0ms	264×	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 (24.9% of total)

ival-mult: 5.0ms (24.9% of total)

ival-sub: 5.0ms (24.9% 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)

simplify4.0ms (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	18	10
0	18	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)

localize20.0ms (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

15.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

ival-add: 2.0ms (51.2% of total)

ival-mult: 2.0ms (51.2% 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)

rewrite260.0ms (5.9%)

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	138	8
3	1130	8
0	8439	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 0 binary64) (+.f64 #s(literal 4 binary64) (.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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 0 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 2 binary64) x))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 (.f64 x #s(literal 2 binary64)) (.f64 x x))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)))
(/.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 (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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 #s(literal 2 binary64) x)) 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 #s(literal 2 binary64) x)) (.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 #s(literal 2 binary64) x)))
(.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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 (.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 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 (.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 0 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 x (-.f64 #s(literal 2 binary64) x)))
(.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))))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (+.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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x 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 #s(literal 2 binary64) x)) (+.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 4 binary64)) #s(literal 1/2 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 4 binary64)) #s(literal 1/2 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 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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 x 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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 512 binary64)) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 (.f64 x (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.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 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) (+.f64 (.f64 x x) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 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 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 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 x (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (-.f64 #s(literal 0 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)) (+.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 0 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 (.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 (/.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 (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)))

simplify158.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
1736×	`times-frac`
1732×	`cube-prod`
1248×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	39	82
2	82	82
3	169	82
4	300	82
5	2436	82
6	3529	82
7	4773	82
8	6732	82
9	7360	82
0	8090	82

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)

eval27.0ms (0.6%)

Compiler: Compiled 7690 to 813 computations (89.4% saved)

prune32.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	265	5	270

Accuracy

100.0%

Counts

270 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
▶	56.2%	(.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶	52.4%	(*.f64 x x)
▶	50.6%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 56 to 33 computations (41.1% saved)

simplify182.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 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 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)))
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64))))
✓	cost-diff	128	(.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)

Rules

3696×	`sum5-define`
3314×	`sum3-define`
1776×	`sum4-define`
1752×	`-lowering-.f32`
1752×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	142
1	60	126
2	123	113
3	304	111
4	811	111
5	1382	111
6	3053	111
7	5275	111
8	5528	111
9	5790	111
10	6231	111
11	6308	111
12	6407	111
0	9203	111

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 2 x)
2
x
(* x x)
x
(* (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))
(/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64)))
x
(/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))
(+ 4 (* x (+ x -2)))
4
(* x (+ x -2))
(+ x -2)
-2
(+ (* x (* (* x (* x x)) (* x x))) -64)
(* x (* (* x (* x x)) (* x x)))
(* (* x (* x x)) (* x x))
(* x (* x x))
(* x x)
-64
(/ 1 (+ (* x (* x x)) -8))
1
(+ (* x (* x x)) -8)
-8
(+ (* 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 (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))
(/.f64 x (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) #s(literal -64 binary64)))))
(/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64)))
(/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))
x
(/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -64 binary64)))
(+ 4 (* x (+ x -2)))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
4
#s(literal 4 binary64)
(* x (+ x -2))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(+ x -2)
(+.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ (* x (* (* x (* x x)) (* x x))) -64)
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) #s(literal -64 binary64))
(* x (* (* x (* x x)) (* x x)))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(* (* x (* x x)) (* x x))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-64
#s(literal -64 binary64)
(/ 1 (+ (* x (* x x)) -8))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
1
#s(literal 1 binary64)
(+ (* x (* x x)) -8)
(+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))
-8
#s(literal -8 binary64)
(+ (* 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)

localize96.0ms (2.2%)

Localize:

Found 9 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	99.9%	(.f64 (.f64 x (.f64 x x)) (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	67.7%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)))
✓	accuracy	64.5%	(.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)

Results

68.0ms

256×

valid

Compiler

Compiled 181 to 24 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (48.9% of total)

ival-add: 6.0ms (24.4% of total)

ival-div: 5.0ms (20.4% of total)

const: 1.0ms (4.1% of total)

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

series9.0ms (0.2%)

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (* 2 x)>
#<alt (* x x)>
#<alt (* (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))>
#<alt (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64)))>
#<alt (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))>
#<alt (+ 4 (* x (+ x -2)))>
#<alt (+ (* x x) (* x 2))>
#<alt (* x 2)>
#<alt (* x (* x x))>
#<alt (* (* x (* x x)) (* 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)>
#<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 (* -16 x)>
#<alt (* x (- (* -8 x) 16))>
#<alt (* x (- (* x (- (* 2 (pow x 2)) 8)) 16))>
#<alt (* x (- (* x (- (* (pow x 2) (+ 2 x)) 8)) 16))>
#<alt (pow x 5)>
#<alt (* (pow x 5) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1 (* 2 (/ 1 x))) (/ 8 (pow x 3))))>
#<alt (* (pow x 5) (+ 1 (+ (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (pow x 5)>
#<alt (* (pow x 5) (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- 2 (* 8 (/ 1 (pow x 2)))) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2 (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2)))) x)) 1)))>
#<alt -1/16>
#<alt (- (* 1/32 x) 1/16)>
#<alt (- (* x (+ 1/32 (* -1/64 x))) 1/16)>
#<alt (- (* x (+ 1/32 (* x (- (* -1/1024 (pow x 4)) 1/64)))) 1/16)>
#<alt (/ 1 (pow x 4))>
#<alt (/ (- 1 (* 2 (/ 1 x))) (pow x 4))>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) (pow x 4))>
#<alt (/ (- (+ 1 (+ (* 64 (/ 1 (pow x 6))) (/ 4 (pow x 2)))) (* 2 (/ 1 x))) (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ (- 1 (* 2 (/ 1 x))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 4 (* 64 (/ 1 (pow x 4)))) x))) x))) (pow x 4))>
#<alt 4>
#<alt (+ 4 (* -2 x))>
#<alt (+ 4 (* x (- x 2)))>
#<alt (+ 4 (* x (- x 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 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 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))
1.0ms	x	@	inf	(* (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))
1.0ms	x	@	0	(/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))
1.0ms	x	@	-inf	(* (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))
0.0ms	x	@	inf	(* 2 x)

rewrite305.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3510×	`/-lowering-/.f32`
3510×	`/-lowering-/.f64`
3212×	`-lowering-.f32`
3212×	`-lowering-.f64`
1616×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	147	65
2	1256	65
0	8481	65

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 368

Calls

Call 1

Inputs
(* 2 x)
(* x x)
(* (/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))) (/ 1 (+ (* x (* x x)) -8)))
(/ x (/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64)))
(/ (+ 4 (* x (+ x -2))) (+ (* x (* (* x (* x x)) (* x x))) -64))
(+ 4 (* x (+ x -2)))
(+ (* x x) (* x 2))
(* x 2)
(* x (* x x))
(* (* x (* x x)) (* x x))

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.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))))) #s(literal 1 binary64)))))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.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))))) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.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))))) #s(literal 1 binary64)))))))
(neg.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(neg.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(neg.f64 (.f64 (/.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 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(neg.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(neg.f64 (/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(neg.f64 (/.f64 (/.f64 x (+.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 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (.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))))) #s(literal 1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.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 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.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))))) #s(literal 1 binary64)))))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 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))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.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 #s(literal 1 binary64) (+.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 x (+.f64 #s(literal -64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.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))))) #s(literal 1 binary64))))))
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(.f64 (+.f64 (.f64 (+.f64 x #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -2 binary64))))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) #s(literal -4 binary64))))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (.f64 x #s(literal -2 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64) (.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(-.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(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))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))))))
(neg.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 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 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x)))) (.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.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 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64))))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 x (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 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 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 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 #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (+.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 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 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 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 x) #s(literal 4 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))))))
(.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 (.f64 x (+.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) x))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 5 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))

simplify200.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2576×	`fma-lowering-fma.f32`
2576×	`fma-lowering-fma.f64`
2222×	`-lowering-.f32`
2222×	`-lowering-.f64`
1772×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	643
1	344	592
2	878	589
3	2341	571
4	6596	567
0	8543	567

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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))))
(* -16 x)
(* x (- (* -8 x) 16))
(* x (- (* x (- (* 2 (pow x 2)) 8)) 16))
(* x (- (* x (- (* (pow x 2) (+ 2 x)) 8)) 16))
(pow x 5)
(* (pow x 5) (+ 1 (* 2 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 2 (/ 1 x))) (/ 8 (pow x 3))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))) (* 2 (/ 1 x)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 2 (/ 1 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 2 (* 8 (/ 1 (pow x 2)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2 (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2)))) x)) 1)))
-1/16
(- (* 1/32 x) 1/16)
(- (* x (+ 1/32 (* -1/64 x))) 1/16)
(- (* x (+ 1/32 (* x (- (* -1/1024 (pow x 4)) 1/64)))) 1/16)
(/ 1 (pow x 4))
(/ (- 1 (* 2 (/ 1 x))) (pow x 4))
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) (pow x 4))
(/ (- (+ 1 (+ (* 64 (/ 1 (pow x 6))) (/ 4 (pow x 2)))) (* 2 (/ 1 x))) (pow x 4))
(/ 1 (pow x 4))
(/ (- 1 (* 2 (/ 1 x))) (pow x 4))
(/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 4))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 4 (* 64 (/ 1 (pow x 4)))) x))) x))) (pow x 4))
4
(+ 4 (* -2 x))
(+ 4 (* x (- x 2)))
(+ 4 (* x (- x 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)

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))
(* -16 x)
(*.f64 x #s(literal -16 binary64))
(* x (- (* -8 x) 16))
(.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -8 binary64))))
(* x (- (* x (- (* 2 (pow x 2)) 8)) 16))
(.f64 x (+.f64 #s(literal -16 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(* x (- (* x (- (* (pow x 2) (+ 2 x)) 8)) 16))
(.f64 x (+.f64 #s(literal -16 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) x))))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(* (pow x 5) (+ 1 (* 2 (/ 1 x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (+ 1 (* 2 (/ 1 x))) (/ 8 (pow x 3))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) x)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 3))) (* 2 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x x))) x)))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(* (pow x 5) (+ 1 (* 2 (/ 1 x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 2 (* 8 (/ 1 (pow x 2)))) x)) 1)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2 (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2)))) x)) 1)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x x))) x)))
-1/16
#s(literal -1/16 binary64)
(- (* 1/32 x) 1/16)
(+.f64 (*.f64 x #s(literal 1/32 binary64)) #s(literal -1/16 binary64))
(- (* x (+ 1/32 (* -1/64 x))) 1/16)
(+.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/64 binary64)))) #s(literal -1/16 binary64))
(- (* x (+ 1/32 (* x (- (* -1/1024 (pow x 4)) 1/64)))) 1/16)
(+.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 #s(literal -1/1024 binary64) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1/16 binary64))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 1 (* 2 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 1 (+ (* 64 (/ 1 (pow x 6))) (/ 4 (pow x 2)))) (* 2 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x))) (.f64 x (.f64 x (*.f64 x x))))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 1 (* 2 (/ 1 x))) (pow x 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 4 (* 64 (/ 1 (pow x 4)))) x))) x))) (pow x 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x x))))) x) #s(literal -2 binary64)) x)) (.f64 x (.f64 x (.f64 x x))))
4
#s(literal 4 binary64)
(+ 4 (* -2 x))
(+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 4 (* x (- x 2)))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(+ 4 (* x (- x 2)))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 x (+.f64 x (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))
(* (pow x 2) (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 x (+.f64 x (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))))
(*.f64 x (+.f64 x (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))))
(*.f64 x (+.f64 x (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))
(* 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)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))

eval62.0ms (1.4%)

Compiler: Compiled 21405 to 1542 computations (92.8% saved)

prune62.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	591	1	592
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	592	5	597

Accuracy

100.0%

Counts

597 → 5

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)
▶	10.3%	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
✓	52.4%	(*.f64 x x)
✓	50.6%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 42 to 24 computations (42.9% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))

Rules

124×	`-lowering-.f32`
124×	`-lowering-.f64`
66×	`associate-r`
66×	`associate-l`
34×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	28	38
2	59	34
3	122	34
4	147	34
0	147	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))
(* x (* x (* x (* x x))))
x
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(/ 1 (+ (* x (* x x)) -8))
1
(+ (* x (* x x)) -8)
-8

Outputs
(* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(* x (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
x
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(/ 1 (+ (* x (* x x)) -8))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
1
#s(literal 1 binary64)
(+ (* x (* x x)) -8)
(+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))
-8
#s(literal -8 binary64)

localize44.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	64.5%	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))

Results

32.0ms

256×

valid

Compiler

Compiled 64 to 11 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (62.3% of total)

ival-div: 2.0ms (15.6% of total)

ival-add: 2.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))>
#<alt (* x (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>

Outputs
#<alt (* -1/8 (pow x 5))>
#<alt (* (pow x 5) (- (* -1/64 (pow x 3)) 1/8))>
#<alt (* (pow x 5) (- (* (pow x 3) (- (* -1/512 (pow x 3)) 1/64)) 1/8))>
#<alt (* (pow x 5) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4096 (pow x 3)) 1/512)) 1/64)) 1/8))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (+ (* 512 (/ 1 (pow x 9))) (/ 64 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 3)))) (pow x 3))) 8) (pow x 3)))))>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))
0.0ms	x	@	-inf	(* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))
0.0ms	x	@	0	(* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))
0.0ms	x	@	0	(* x (* x (* x x)))
0.0ms	x	@	inf	(* x (* x (* x x)))

rewrite260.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
2686×	`-lowering-.f32`
2686×	`-lowering-.f64`
1454×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	53	18
2	297	18
3	2416	18
0	8746	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 193

Calls

Call 1

Inputs
(* (* x (* x (* x (* x x)))) (/ 1 (+ (* x (* x x)) -8)))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))

Outputs
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) #s(literal 8 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))) (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (*.f64 (log.f64 x) #s(literal 5 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) (log.f64 (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(exp.f64 (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))
(exp.f64 (-.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -64 binary64)))))
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(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x x))
(.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 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 (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x x)) (.f64 x x))
(.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) x) (.f64 x x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 512 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 x)))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 7/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 7/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify174.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2662×	`-lowering-.f32`
2662×	`-lowering-.f64`
1952×	`fma-lowering-fma.f32`
1952×	`fma-lowering-fma.f64`
1792×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	268
1	163	255
2	507	254
3	2064	236
4	6444	236
0	8217	236

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1/8 (pow x 5))
(* (pow x 5) (- (* -1/64 (pow x 3)) 1/8))
(* (pow x 5) (- (* (pow x 3) (- (* -1/512 (pow x 3)) 1/64)) 1/8))
(* (pow x 5) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4096 (pow x 3)) 1/512)) 1/64)) 1/8))
(pow x 2)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (+ (* 512 (/ 1 (pow x 9))) (/ 64 (pow x 6))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 3)))) (pow x 3))) 8) (pow x 3)))))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* -1/8 (pow x 5))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -1/64 (pow x 3)) 1/8))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 #s(literal -1/64 binary64) (.f64 x x)))))
(* (pow x 5) (- (* (pow x 3) (- (* -1/512 (pow x 3)) 1/64)) 1/8))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/512 binary64))))) (*.f64 x x)))))
(* (pow x 5) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4096 (pow x 3)) 1/512)) 1/64)) 1/8))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/512 binary64) (.f64 x (.f64 #s(literal -1/4096 binary64) (.f64 x x)))))))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) x))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(+.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (+ (* 512 (/ 1 (pow x 9))) (/ 64 (pow x 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) x))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(+.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 3)))) (pow x 3))) 8) (pow x 3)))))
(+.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 512 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))) x))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval44.0ms (1%)

Compiler: Compiled 7832 to 659 computations (91.6% saved)

prune25.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	271	5	276

Accuracy

100.0%

Counts

276 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.3%	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
✓	100.0%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	52.4%	(*.f64 x x)
✓	50.6%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 40 to 22 computations (45% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
32×	`associate-l`
22×	`associate-r`
18×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	20	31
2	36	27
3	60	27
4	75	27
0	75	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))
(* x (* x (* x (* x x))))
x
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* x (* x x)) -8)
-8

Outputs
(/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(* x (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
x
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (* x (* x x)) -8)
(+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))
-8
#s(literal -8 binary64)

localize39.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	64.5%	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))

Results

26.0ms

256×

valid

Compiler

Compiled 52 to 9 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (66.3% of total)

ival-div: 2.0ms (18.9% of total)

ival-add: 2.0ms (18.9% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))>
#<alt (* x (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>

Outputs
#<alt (* -1/8 (pow x 5))>
#<alt (* (pow x 5) (- (* -1/64 (pow x 3)) 1/8))>
#<alt (* (pow x 5) (- (* (pow x 3) (- (* -1/512 (pow x 3)) 1/64)) 1/8))>
#<alt (* (pow x 5) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4096 (pow x 3)) 1/512)) 1/64)) 1/8))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (+ (* 512 (/ 1 (pow x 9))) (/ 64 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 3)))) (pow x 3))) 8) (pow x 3)))))>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))
0.0ms	x	@	-inf	(/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))
0.0ms	x	@	inf	(/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))
0.0ms	x	@	-inf	(* x (* x (* x (* x x))))
0.0ms	x	@	-inf	(* x (* x x))

rewrite237.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
2380×	`fma-lowering-fma.f32`
2380×	`fma-lowering-fma.f64`
1968×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	44	18
2	284	18
3	2551	18
0	8646	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 224

Calls

Call 1

Inputs
(/ (* x (* x (* x (* x x)))) (+ (* x (* x x)) -8))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))

Outputs
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) #s(literal 8 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))) (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) (.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (.f64 (log.f64 (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 (log.f64 (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal 5 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -64 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -512 binary64)))))
(fma.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -512 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (.f64 x (.f64 x x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))) #s(literal -64 binary64))) #s(literal 8 binary64)))
(neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 x (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
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(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 x (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)))) (+.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 64 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal -512 binary64)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -64 binary64)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 5 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (exp.f64 (log.f64 x))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 7/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 7/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (exp.f64 (log.f64 x))) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x x) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3/2 binary64)))

simplify156.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2662×	`-lowering-.f32`
2662×	`-lowering-.f64`
1952×	`fma-lowering-fma.f32`
1952×	`fma-lowering-fma.f64`
1792×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	268
1	163	255
2	507	254
3	2064	236
4	6444	236
0	8217	236

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1/8 (pow x 5))
(* (pow x 5) (- (* -1/64 (pow x 3)) 1/8))
(* (pow x 5) (- (* (pow x 3) (- (* -1/512 (pow x 3)) 1/64)) 1/8))
(* (pow x 5) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4096 (pow x 3)) 1/512)) 1/64)) 1/8))
(pow x 2)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (+ (* 512 (/ 1 (pow x 9))) (/ 64 (pow x 6))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 3)))) (pow x 3))) 8) (pow x 3)))))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* -1/8 (pow x 5))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -1/64 (pow x 3)) 1/8))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 #s(literal -1/64 binary64) (.f64 x x)))))
(* (pow x 5) (- (* (pow x 3) (- (* -1/512 (pow x 3)) 1/64)) 1/8))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/512 binary64))))) (*.f64 x x)))))
(* (pow x 5) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4096 (pow x 3)) 1/512)) 1/64)) 1/8))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/512 binary64) (.f64 x (.f64 #s(literal -1/4096 binary64) (.f64 x x)))))))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) x))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(+.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (+ (* 512 (/ 1 (pow x 9))) (/ 64 (pow x 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 8 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) x))
(* (pow x 2) (+ 1 (+ (* 8 (/ 1 (pow x 3))) (/ 64 (pow x 6)))))
(+.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 64 (* 512 (/ 1 (pow x 3)))) (pow x 3))) 8) (pow x 3)))))
(+.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 512 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))) x))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval32.0ms (0.7%)

Compiler: Compiled 7733 to 741 computations (90.4% saved)

prune27.0ms (0.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	306	5	311

Accuracy

100.0%

Counts

311 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.3%	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
✓	100.0%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	52.4%	(*.f64 x x)
✓	50.6%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 137 to 54 computations (60.6% saved)

regimes10.0ms (0.2%)

Counts

8 → 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))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(.f64 (/.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))

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

Calls

4 calls:

3.0ms	x
3.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes2.0ms (0%)

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%)

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
98.3%	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
50.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.18975071841882268	126008459.02020957
12.0ms	-160293553.31117567	-0.0006460340543084757

Results

14.0ms

304×

valid

Compiler

Compiled 204 to 141 computations (30.9% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

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))

soundness688.0ms (15.6%)

Rules

4256×	`/-lowering-/.f32`
4256×	`/-lowering-/.f64`
3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
2956×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	23	6
2	61	5
3	367	5
4	1235	5
5	2717	5
6	6625	5
0	8378	5
0	12	84
1	39	82
2	82	82
3	169	82
4	300	82
5	2436	82
6	3529	82
7	4773	82
8	6732	82
9	7360	82
0	8090	82
0	4	8
1	21	8
2	138	8
3	1130	8
0	8439	8

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)

preprocess23.0ms (0.5%)

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

analyze0.0ms (0%)

sample825.0ms (18.7%)

preprocess287.0ms (6.5%)

explain78.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.5%)

series1.0ms (0%)

rewrite260.0ms (5.9%)

simplify158.0ms (3.6%)

eval27.0ms (0.6%)

prune32.0ms (0.7%)

simplify182.0ms (4.1%)

localize96.0ms (2.2%)

series9.0ms (0.2%)

rewrite305.0ms (6.9%)

simplify200.0ms (4.5%)

eval62.0ms (1.4%)

prune62.0ms (1.4%)

simplify7.0ms (0.2%)

localize44.0ms (1%)

series2.0ms (0%)

rewrite260.0ms (5.9%)

simplify174.0ms (3.9%)

eval44.0ms (1%)

prune25.0ms (0.6%)

simplify5.0ms (0.1%)

localize39.0ms (0.9%)

series1.0ms (0%)

rewrite237.0ms (5.4%)

simplify156.0ms (3.5%)

eval32.0ms (0.7%)

prune27.0ms (0.6%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch25.0ms (0.6%)

simplify6.0ms (0.1%)

soundness688.0ms (15.6%)

preprocess23.0ms (0.5%)

end0.0ms (0%)

Profiling