Metrics for bug333 (missed optimization)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 17 to 11 computations (35.3% 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-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

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

ival-<=: 0.0ms (0% of total)

sample2.5s (34%)

Results

2.1s	8070×	1	valid
12.0ms	186×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sqrt: 583.0ms (42% of total)

ival-<=: 236.0ms (17% of total)

ival-sub: 207.0ms (14.9% of total)

ival-add: 202.0ms (14.6% of total)

backward-pass: 121.0ms (8.7% of total)

ival-and: 21.0ms (1.5% of total)

const: 17.0ms (1.2% of total)

Bogosity

preprocess56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

62×	`fma-neg`
51×	`fma-define`
25×	`sub-neg`
16×	`neg-mul-1`
15×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	39	132
2	71	132
3	131	132
4	212	132
5	309	132
6	362	132
7	394	132
8	396	132

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain116.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

79.0ms	500×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 17.0ms (38.4% of total)

ival-sub: 10.0ms (22.6% of total)

backward-pass: 9.0ms (20.3% of total)

ival-add: 7.0ms (15.8% of total)

const: 1.0ms (2.3% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

45×	`fma-define`
32×	`fma-neg`
20×	`sub-neg`
13×	`associate--r+`
11×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	86
1	22	86
2	29	86
3	43	86
4	59	86
5	86	86
6	132	86
7	177	86
8	231	86
9	266	86
10	292	86
11	294	86

Stop Event

1×

saturated

Calls

Call 1

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

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

localize49.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

38.0ms	250×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

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

ival-sqrt: 8.0ms (36.1% of total)

ival-sub: 6.0ms (27.1% of total)

backward-pass: 4.0ms (18% of total)

ival-add: 3.0ms (13.5% of total)

const: 1.0ms (4.5% of total)

series10.0ms (0.1%)

Counts

4 → 45

Calls

Call 1

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

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(- (sqrt (+ 1 x)) (sqrt (- 1 x)))
1.0ms	x	@	-inf	(- (sqrt (+ 1 x)) (sqrt (- 1 x)))
1.0ms	x	@	-inf	(sqrt (+ 1 x))
1.0ms	x	@	inf	(sqrt (- 1 x))
1.0ms	x	@	0	(- (sqrt (+ 1 x)) (sqrt (- 1 x)))

rewrite237.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`log1p-expm1-u`
790×	`expm1-log1p-u`
655×	`unpow-prod-down`
478×	`fma-define`
336×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	158	71
2	2160	71

Stop Event

1×	node limit

Counts

4 → 302

Calls

Call 1

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

Outputs
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 x x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (exp.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))

simplify193.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

930×	`times-frac`
597×	`fma-neg`
342×	`associate-r`
332×	`associate-l`
264×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	807	4294982903
1	1785	4294981171
2	5537	4294980743

Stop Event

1×	node limit

Counts

347 → 506

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(literal 1 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
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(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7/128 binary64))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 33/1024 binary64))))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 x (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 x (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))))
(.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 x (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
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(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 x)
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#s(literal 1 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
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(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
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(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
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(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))

eval62.0ms (0.8%)

Compiler: Compiled 10956 to 1652 computations (84.9% saved)

prune56.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	502	4	506
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	502	5	507

Accuracy

100.0%

Counts

507 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	7.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.4%	(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	99.0%	x

Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify300.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 1/16 binary64) x)
✓	cost-diff	-6272	(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))

Rules

2613×	`fma-neg`
826×	`fma-define`
510×	`sub-neg`
367×	`cancel-sign-sub-inv`
363×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	446
1	64	418
2	128	418
3	256	418
4	611	418
5	1354	418
6	2423	418
7	4934	418
8	5579	418
9	5818	418
10	6034	418
11	6262	418
12	6565	418
13	6759	418
14	6893	418
15	6954	418
16	6974	418
17	6974	418

Stop Event

1×	node limit

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
x
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 x x)
x
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
x
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

localize188.0ms (2.5%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	8.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))

Results

150.0ms	250×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 140 to 24 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-add: 31.0ms (35.8% of total)

ival-mult: 13.0ms (15% of total)

backward-pass: 12.0ms (13.9% of total)

ival-pow: 10.0ms (11.5% of total)

ival-sqrt: 8.0ms (9.2% of total)

ival-sub: 7.0ms (8.1% of total)

ival-div: 4.0ms (4.6% of total)

const: 2.0ms (2.3% of total)

series36.0ms (0.5%)

Counts

11 → 91

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))>
#<alt (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 x x)>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))>

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
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#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -21/512 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/64 binary64))) #s(literal 1/4 binary64))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 7/256 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>

Calls

33 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(/ (+ x x) (+ (sqrt (+ 1 x)) (sqrt (- 1 x))))
4.0ms	x	@	-inf	(/ (+ x x) (+ (sqrt (+ 1 x)) (sqrt (- 1 x))))
1.0ms	x	@	0	(* 1/8 (pow x 3))
1.0ms	x	@	-inf	(+ (sqrt (+ 1 x)) (sqrt (- 1 x)))
1.0ms	x	@	inf	(+ (sqrt (+ 1 x)) (sqrt (- 1 x)))

rewrite241.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log1p-expm1-u`
221×	`expm1-log1p-u`
217×	`add-cube-cbrt`
215×	`add-exp-log`
214×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	482	246
2	7604	246

Stop Event

1×	node limit

Counts

11 → 389

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/16 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 x x)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (+.f64 x (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) (+.f64 x (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))))
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(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

257×	`*-commutative`
123×	`+-commutative`
77×	`sub-neg`
62×	`associate-*r/`
54×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1116	7902
1	4492	7902

Stop Event

1×

unsound

Counts

480 → 541

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))))
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(.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x #s(literal 9/8 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x #s(literal 9/8 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x #s(literal 9/8 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 9/8 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 9/8 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal -2 binary64)
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#s(literal -2 binary64)
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x (+.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x (+.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (+.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64))) #s(literal -2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) x))
(log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 x (+.f64 (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))

eval122.0ms (1.6%)

Compiler: Compiled 21209 to 3185 computations (85% saved)

prune210.0ms (2.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	912	6	918
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	913	10	923

Accuracy

100.0%

Counts

923 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	99.4%	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	7.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
▶	7.6%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
▶	6.5%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.4%	(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
✓	99.0%	x

Compiler

Compiled 262 to 185 computations (29.4% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))
✓	cost-diff	-6272	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
	cost-diff	0	(+.f64 x x)
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -1/16 binary64) x)
	cost-diff	0	(*.f64 #s(literal 1/16 binary64) x)
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) x)
	cost-diff	0	(*.f64 #s(literal 1/16 binary64) x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
	cost-diff	0	(*.f64 #s(literal 1/16 binary64) x)
	cost-diff	0	(+.f64 x x)

Rules

645×	`sub-neg`
523×	`fma-neg`
463×	`associate--r-`
380×	`distribute-neg-in`
379×	`+-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	1200
1	107	1088
2	268	1062
3	732	1062
4	2752	1062
5	4983	1045
6	7589	1045

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 x x)
x
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
x
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
x
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/16 binary64) x)
#s(literal -1/16 binary64)
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x x)
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))
x
(+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))
#s(literal 1/2 binary64)
#s(literal -1/16 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/16 binary64) x)
(*.f64 x #s(literal -1/16 binary64))
#s(literal -1/16 binary64)
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 7/16 binary64)))
(fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))
(*.f64 x #s(literal 7/16 binary64))
x
(+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))
#s(literal 7/16 binary64)
#s(literal 1/2 binary64)
#s(literal -1/16 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

localize360.0ms (4.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))
	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	8.3%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	8.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	8.3%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

262.0ms	243×	1	valid
10.0ms	7×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 405 to 41 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 77.0ms (44.3% of total)

ival-add: 25.0ms (14.4% of total)

backward-pass: 25.0ms (14.4% of total)

ival-sub: 19.0ms (10.9% of total)

ival-div: 15.0ms (8.6% of total)

ival-pow: 6.0ms (3.5% of total)

ival-sqrt: 5.0ms (2.9% of total)

const: 2.0ms (1.2% of total)

series31.0ms (0.4%)

Counts

17 → 130

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))>
#<alt (*.f64 #s(literal -1/16 binary64) x)>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))>

Outputs
#<alt #s(literal -1/8 binary64)>
#<alt (*.f64 #s(literal 1/16 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt (*.f64 #s(literal 7/16 binary64) x)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/256 binary64) x) #s(literal 5/128 binary64))) #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 9/256 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/256 binary64) (.f64 #s(literal 7/512 binary64) x)))))))>
#<alt (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 32 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 32 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 512 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 32 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (+.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 128 binary64) (.f64 #s(literal 512 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 #s(literal 1024 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 512 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 32 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 128 binary64) (.f64 #s(literal -512 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x)) #s(literal 64 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 128 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 512 binary64) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 128 binary64) (.f64 #s(literal -512 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) (.f64 #s(literal 1024 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) x))) (.f64 #s(literal -512 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x)) #s(literal 64 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/16 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/16 binary64)))>
#<alt (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal 2 binary64)>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal 15/16 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) x)))))))>
#<alt (.f64 x (-.f64 #s(literal 7/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 7/16 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 7/16 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 7/16 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 7/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 7/16 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)) (+.f64 #s(literal 7/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))) x))) x)) (+.f64 #s(literal 7/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (+ x x) (+ (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt (- 1 x))))
1.0ms	x	@	inf	(/ (+ x x) (+ (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt (- 1 x))))
1.0ms	x	@	-inf	(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ 1 (* x (- (* -1/8 x) 1/2))))
1.0ms	x	@	inf	(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ 1 (* x (- (* -1/8 x) 1/2))))
1.0ms	x	@	-inf	(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))

rewrite184.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

402×	`log1p-expm1-u`
402×	`expm1-log1p-u`
390×	`add-cube-cbrt`
387×	`add-exp-log`
386×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	533
1	836	473

Stop Event

1×	node limit

Counts

17 → 285

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) x)
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/16 binary64) x)
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))
(+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) x)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/8 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/16 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/16 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/16 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/16 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/16 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -1/16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/16 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/16 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (.f64 (log1p.f64 (-.f64 (.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

simplify311.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

434×	`fma-neg`
411×	`associate-r`
377×	`associate-l`
305×	`fma-define`
283×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	919	17711
1	2194	16259
2	7193	16251

Stop Event

1×	node limit

Counts

415 → 504

Calls

Call 1

Inputs
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/16 binary64) x)
(.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/16 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 #s(literal 7/16 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/256 binary64) x) #s(literal 5/128 binary64))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 9/256 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/256 binary64) (.f64 #s(literal 7/512 binary64) x)))))))
(/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 32 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 512 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 32 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (+.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 128 binary64) (.f64 #s(literal 512 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 #s(literal 1024 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 512 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 128 binary64) (.f64 #s(literal -512 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x)) #s(literal 64 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 128 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 512 binary64) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 128 binary64) (.f64 #s(literal -512 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) (.f64 #s(literal 1024 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) x))) (.f64 #s(literal -512 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x)) #s(literal 64 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (.f64 (log1p.f64 (-.f64 (.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/16 binary64) x)
(.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 #s(literal 1/16 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
(neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
(neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))
(neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)) (neg.f64 x))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/512 binary64))))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/512 binary64) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 x))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
(*.f64 #s(literal 7/16 binary64) x)
(*.f64 x #s(literal 7/16 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/128 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -7/256 binary64) x) #s(literal 5/128 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -7/256 binary64) x #s(literal -5/128 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal -7/256 binary64) #s(literal -5/128 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x))))
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(/.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (+.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x (+.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (log1p.f64 (-.f64 (.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 x #s(literal 7/16 binary64) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

eval239.0ms (3.2%)

Compiler: Compiled 33702 to 4167 computations (87.6% saved)

prune408.0ms (5.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1319	3	1322
Fresh	0	1	1
Picked	4	1	5
Done	0	4	4
Total	1323	9	1332

Accuracy

100.0%

Counts

1332 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	99.4%	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
▶	7.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
✓	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.4%	(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
▶	24.1%	(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
✓	99.0%	x

Compiler

Compiled 121 to 86 computations (28.9% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12608	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
✓	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal -1/4 binary64) (.f64 x x))
	cost-diff	0	(+.f64 x x)
✓	cost-diff	-6272	(/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))
✓	cost-diff	-6272	(.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))
	cost-diff	0	(*.f64 #s(literal -1/16 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/128 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 5/128 binary64) x)
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 15/16 binary64) (*.f64 x #s(literal 1/8 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/8 binary64))

Rules

566×	`unsub-neg`
494×	`associate-+l-`
483×	`fma-neg`
403×	`fma-define`
393×	`associate--r+`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	775
1	115	675
2	290	656
3	810	656
4	2097	656
5	5671	649
6	7089	649

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
x
(+.f64 #s(literal 15/16 binary64) (*.f64 x #s(literal 1/8 binary64)))
#s(literal 15/16 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x))
#s(literal 1/8 binary64)
(*.f64 #s(literal 5/128 binary64) x)
#s(literal 5/128 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64)))))))
x
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64))))))
#s(literal 1/2 binary64)
(.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))
#s(literal -7/4096 binary64)
(/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))
(+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64)))
#s(literal 5/256 binary64)
(*.f64 x #s(literal 1/128 binary64))
#s(literal 1/128 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/16 binary64) x)
#s(literal -1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
(+.f64 x x)
x
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
#s(literal 2 binary64)
(.f64 #s(literal -1/4 binary64) (.f64 x x))
#s(literal -1/4 binary64)
(*.f64 x x)

Outputs
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))
x
(+.f64 #s(literal 15/16 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))
#s(literal 15/16 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 5/128 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 5/128 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 5/128 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x))
(+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 5/128 binary64)))
(fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 #s(literal 5/128 binary64) x)
(*.f64 x #s(literal 5/128 binary64))
#s(literal 5/128 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(-.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal -7/4096 binary64) (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))))))
(fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64)))))))
(*.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64))))))
(fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))
(/.f64 (*.f64 x #s(literal -7/4096 binary64)) (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64)))
(*.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))))
#s(literal -7/4096 binary64)
(/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64)))
(+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64)))
(fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))
#s(literal 5/256 binary64)
(*.f64 x #s(literal 1/128 binary64))
#s(literal 1/128 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
(*.f64 x (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/16 binary64) x)
(*.f64 x #s(literal -1/16 binary64))
#s(literal -1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))))
(*.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))

localize245.0ms (3.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 x x))
	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)))
	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))
✓	accuracy	8.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 5/128 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
✓	accuracy	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 15/16 binary64) (*.f64 x #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))

Results

180.0ms	247×	1	valid
3.0ms	3×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 249 to 41 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 47.0ms (42.3% of total)

ival-add: 22.0ms (19.8% of total)

backward-pass: 19.0ms (17.1% of total)

ival-div: 7.0ms (6.3% of total)

ival-sub: 7.0ms (6.3% of total)

ival-pow: 7.0ms (6.3% of total)

const: 3.0ms (2.7% of total)

series23.0ms (0.3%)

Counts

15 → 160

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 1/8 binary64))>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))>
#<alt (+.f64 #s(literal 15/16 binary64) (*.f64 x #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal 5/128 binary64) x)>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))>
#<alt (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x))>
#<alt (*.f64 x #s(literal 1/128 binary64))>
#<alt (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))>
#<alt (/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))>
#<alt (.f64 #s(literal -1/4 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))>

Outputs
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal 15/16 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 15/16 binary64)>
#<alt (+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/8 binary64)>
#<alt (*.f64 #s(literal 5/128 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 5/128 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal 1/128 binary64) x)>
#<alt (*.f64 #s(literal -7/80 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 7/200 binary64) x) #s(literal 7/80 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 7/200 binary64) (*.f64 #s(literal -7/500 binary64) x))) #s(literal 7/80 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 7/200 binary64) (.f64 x (-.f64 (.f64 #s(literal 7/1250 binary64) x) #s(literal 7/500 binary64))))) #s(literal 7/80 binary64)))>
#<alt #s(literal -7/32 binary64)>
#<alt (-.f64 (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 7/32 binary64))>
#<alt (-.f64 (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 7/32 binary64) (/.f64 #s(literal 175/128 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 875/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 7/32 binary64) (/.f64 #s(literal 175/128 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal -7/32 binary64)>
#<alt (-.f64 (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 7/32 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 175/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 35/64 binary64)) x)) #s(literal 7/32 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 875/256 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 175/128 binary64)) x)) #s(literal 35/64 binary64)) x)) #s(literal 7/32 binary64))>
#<alt (*.f64 #s(literal 256/5 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 256/5 binary64) (.f64 #s(literal -512/25 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 256/5 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1024/125 binary64) x) #s(literal 512/25 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 256/5 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1024/125 binary64) (.f64 #s(literal -2048/625 binary64) x))) #s(literal 512/25 binary64)))))>
#<alt #s(literal 128 binary64)>
#<alt (-.f64 #s(literal 128 binary64) (*.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 128 binary64) (/.f64 #s(literal 800 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 128 binary64) (/.f64 #s(literal 800 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt #s(literal 128 binary64)>
#<alt (-.f64 #s(literal 128 binary64) (*.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 128 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 320 binary64) (.f64 #s(literal 800 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (+.f64 #s(literal 128 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 320 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 800 binary64) (*.f64 #s(literal 2000 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/80 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 #s(literal 39/400 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (.f64 x (+.f64 #s(literal 39/400 binary64) (.f64 #s(literal -7/500 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 25/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 25/32 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 25/32 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 35/64 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 25/32 binary64) (/.f64 #s(literal 1 binary64) x)))) x)) #s(literal 1/16 binary64))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x 1/128)
0.0ms	x	@	inf	(* (pow x 2) (+ 1/8 (* 5/128 x)))
0.0ms	x	@	-inf	(* x (+ 15/16 (* x 1/8)))
0.0ms	x	@	0	(- (+ 1 (* x (+ 1/2 (* -7/4096 (/ x (+ 5/256 (* x 1/128))))))) (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))
0.0ms	x	@	inf	(* x (+ 1 (* (pow x 2) (+ 1/8 (* 5/128 x)))))

rewrite124.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

361×	`log1p-expm1-u`
361×	`expm1-log1p-u`
346×	`add-exp-log`
346×	`add-log-exp`
346×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	400
1	776	340

Stop Event

1×	node limit

Counts

15 → 259

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(+.f64 #s(literal 15/16 binary64) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal 5/128 binary64) x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x))
(*.f64 x #s(literal 1/128 binary64))
(.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))
(/.f64 x (+.f64 #s(literal 5/256 binary64) (*.f64 x #s(literal 1/128 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 15/16 binary64)) (.f64 x (*.f64 x #s(literal 1/8 binary64))))
(+.f64 (.f64 #s(literal 15/16 binary64) x) (.f64 (*.f64 x #s(literal 1/8 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 15/16 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(fma.f64 #s(literal 15/16 binary64) x (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(/.f64 (-.f64 #s(literal 225/256 binary64) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(/.f64 (+.f64 #s(literal 3375/4096 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 #s(literal 225/256 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))))
(pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 15/16 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 15/16 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/8 binary64))) #s(literal 15/16 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/8 binary64))) (sqrt.f64 (.f64 x #s(literal 1/8 binary64))) #s(literal 15/16 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 5/128 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 5/128 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 5/128 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 125/2097152 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 5/128 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 5/128 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 5/128 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 125/2097152 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 5/128 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 5/128 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 5/128 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 5/128 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 5/128 binary64))))
(+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 (*.f64 x #s(literal 5/128 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (fma.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 5/128 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 5/128 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x #s(literal 5/128 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 5/128 binary64))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 125/2097152 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 5/128 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 5/128 binary64))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/4 binary64))) (.f64 x (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 2 binary64))

simplify189.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-r`
383×	`fma-neg`
361×	`associate-l`
288×	`cancel-sign-sub-inv`
285×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	773	11560
1	1715	11114
2	5426	10558

Stop Event

1×	node limit

Counts

419 → 450

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 15/16 binary64) x)
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 15/16 binary64)
(+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/8 binary64)
(*.f64 #s(literal 5/128 binary64) x)
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 5/128 binary64) x)
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal 1/128 binary64) x)
(*.f64 #s(literal -7/80 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 7/200 binary64) x) #s(literal 7/80 binary64)))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 7/200 binary64) (*.f64 #s(literal -7/500 binary64) x))) #s(literal 7/80 binary64)))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 7/200 binary64) (.f64 x (-.f64 (.f64 #s(literal 7/1250 binary64) x) #s(literal 7/500 binary64))))) #s(literal 7/80 binary64)))
#s(literal -7/32 binary64)
(-.f64 (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 7/32 binary64))
(-.f64 (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 7/32 binary64) (/.f64 #s(literal 175/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 875/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 7/32 binary64) (/.f64 #s(literal 175/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal -7/32 binary64)
(-.f64 (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 7/32 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 175/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 35/64 binary64)) x)) #s(literal 7/32 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 875/256 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 175/128 binary64)) x)) #s(literal 35/64 binary64)) x)) #s(literal 7/32 binary64))
(*.f64 #s(literal 256/5 binary64) x)
(.f64 x (+.f64 #s(literal 256/5 binary64) (.f64 #s(literal -512/25 binary64) x)))
(.f64 x (+.f64 #s(literal 256/5 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1024/125 binary64) x) #s(literal 512/25 binary64)))))
(.f64 x (+.f64 #s(literal 256/5 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1024/125 binary64) (.f64 #s(literal -2048/625 binary64) x))) #s(literal 512/25 binary64)))))
#s(literal 128 binary64)
(-.f64 #s(literal 128 binary64) (*.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 128 binary64) (/.f64 #s(literal 800 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 128 binary64) (/.f64 #s(literal 800 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(literal 128 binary64)
(-.f64 #s(literal 128 binary64) (*.f64 #s(literal 320 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 128 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 320 binary64) (.f64 #s(literal 800 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 #s(literal 128 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 320 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 800 binary64) (*.f64 #s(literal 2000 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 512 binary64) (.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4096 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5/128 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/80 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 #s(literal 39/400 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (.f64 x (+.f64 #s(literal 39/400 binary64) (.f64 #s(literal -7/500 binary64) x)))))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 25/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 25/32 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 35/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 25/32 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 35/64 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 25/32 binary64) (/.f64 #s(literal 1 binary64) x)))) x)) #s(literal 1/16 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))
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(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(pow.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 #s(literal -7/4096 binary64) (/.f64 x (fma.f64 x #s(literal 1/128 binary64) #s(literal 5/256 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/4 binary64))) (.f64 x (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 2 binary64))

Outputs
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 15/16 binary64) x)
(*.f64 x #s(literal 15/16 binary64))
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 #s(literal 1/8 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64)))
#s(literal 15/16 binary64)
(+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(+.f64 #s(literal 15/16 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 15/16 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 15/16 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
#s(literal 1/8 binary64)
(*.f64 #s(literal 5/128 binary64) x)
(*.f64 x #s(literal 5/128 binary64))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 x #s(literal 5/128 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 5/128 binary64) x)
(*.f64 x #s(literal 5/128 binary64))
(.f64 x (+.f64 #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) x)))
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/4 binary64))) (.f64 x (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 2 binary64))

eval178.0ms (2.4%)

Compiler: Compiled 12557 to 2643 computations (79% saved)

prune78.0ms (1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	601	3	604
Fresh	0	0	0
Picked	3	1	4
Done	0	5	5
Total	604	9	613

Accuracy

100.0%

Counts

613 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	99.4%	(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
✓	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.4%	(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
	99.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))))
	98.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 x #s(literal 39/400 binary64))))))
	98.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/80 binary64))))
✓	99.0%	x

Compiler

Compiled 338 to 160 computations (52.7% saved)

regimes11.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/80 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 x #s(literal 39/400 binary64))))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

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

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/80 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 x #s(literal 39/400 binary64))))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs

(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/80 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 x #s(literal 39/400 binary64))))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -7/4096 binary64) (/.f64 x (+.f64 #s(literal 5/256 binary64) (.f64 x #s(literal 1/128 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(literal -1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -47.9b remaining (-7252.4%)

Threshold costs -47.9b (-7252.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 15/16 binary64) (.f64 x #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/80 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/80 binary64) (*.f64 x #s(literal 39/400 binary64))))))

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	181
1	50	181
2	57	181
3	61	181
4	63	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
x

Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))))
(/.f64 (+.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
x

soundness226.0ms (3%)

Rules

790×	`log1p-expm1-u`
790×	`expm1-log1p-u`
655×	`unpow-prod-down`
478×	`fma-define`
402×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	533
1	836	473
0	12	71
1	158	71
2	2160	71

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 231 to 71 computations (69.3% saved)

preprocess41.0ms (0.5%)

Remove: (negabs x)
Compiler: Compiled 256 to 158 computations (38.3% saved)

Iter	Nodes	Cost
0	19	136
1	39	132
2	71	132
3	131	132
4	212	132
5	309	132
6	362	132
7	394	132
8	396	132

Iter	Nodes	Cost
0	12	86
1	22	86
2	29	86
3	43	86
4	59	86
5	86	86
6	132	86
7	177	86
8	231	86
9	266	86
10	292	86
11	294	86

Iter	Nodes	Cost
0	19	136
1	39	132
2	71	132
3	131	132
4	212	132
5	309	132
6	362	132
7	394	132
8	396	132

Iter	Nodes	Cost
0	12	86
1	22	86
2	29	86
3	43	86
4	59	86
5	86	86
6	132	86
7	177	86
8	231	86
9	266	86
10	292	86
11	294	86

analyze0.0ms (0%)

sample2.5s (34%)

preprocess56.0ms (0.7%)

explain116.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.3%)

localize49.0ms (0.7%)

series10.0ms (0.1%)

rewrite237.0ms (3.2%)

simplify193.0ms (2.6%)

eval62.0ms (0.8%)

prune56.0ms (0.8%)

simplify300.0ms (4%)

localize188.0ms (2.5%)

series36.0ms (0.5%)

rewrite241.0ms (3.3%)

simplify123.0ms (1.7%)

eval122.0ms (1.6%)

prune210.0ms (2.8%)

simplify108.0ms (1.4%)

localize360.0ms (4.9%)

series31.0ms (0.4%)

rewrite184.0ms (2.5%)

simplify311.0ms (4.2%)

eval239.0ms (3.2%)

prune408.0ms (5.5%)

simplify98.0ms (1.3%)

localize245.0ms (3.3%)

series23.0ms (0.3%)

rewrite124.0ms (1.7%)

simplify189.0ms (2.6%)

eval178.0ms (2.4%)

prune78.0ms (1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

simplify4.0ms (0.1%)

soundness226.0ms (3%)

preprocess41.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	136
1	39	132
2	71	132
3	131	132
4	212	132
5	309	132
6	362	132
7	394	132
8	396	132

Iter	Nodes	Cost
0	12	86
1	22	86
2	29	86
3	43	86
4	59	86
5	86	86
6	132	86
7	177	86
8	231	86
9	266	86
10	292	86
11	294	86