Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
60%	37.5%	25%	0%	0%	37.5%	0%	4
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	5
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	6
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	7
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	8
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	9
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	10
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	11
99.8%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (23.5%)

Results

552.0ms	2023×	body	1024	valid
516.0ms	5020×	body	256	valid
216.0ms	985×	body	512	valid
101.0ms	228×	body	2048	valid
1.0ms	8×	body	256	invalid

Bogosity

preprocess47.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
30×	`+-commutative`
28×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

52.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	93.2%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms	x	@	-inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms	x	@	0	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite82.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`add-sqr-sqrt`
1940×	`*-un-lft-identity`
1810×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	189	21
2	2512	21

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))))

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

982×	`associate-r`
914×	`associate-+l-`
882×	`associate-+r-`
754×	`associate-l`
748×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1288
1	265	1218
2	1088	1080
3	4716	1078

Stop Event

1×	node limit

Counts

38 → 56

Calls

Call 1

Inputs
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))

Outputs
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))
(fma.f64 -1 (pow.f64 x 1/2) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x 1/2))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x))))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 x (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 x (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 x (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 x (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 (+.f64 1 x) (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 x (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))

eval17.0ms (0.3%)

Compiler: Compiled 826 to 531 computations (35.7% saved)

prune40.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Accurracy

99.7%

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
▶	99.7%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	52.0%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	50.2%	1

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	99.7%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series6.0ms (0.1%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms	x	@	inf	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms	x	@	-inf	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
1.0ms	x	@	0	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.0ms	x	@	inf	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`associate-*r/`
884×	`*-commutative`
770×	`associate-*l/`
704×	`distribute-lft-in`
696×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	213	48
2	2841	48

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)) (/.f64 1 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)) (/.f64 1 (+.f64 1 (-.f64 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Outputs

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simplify119.0ms (2%)

Algorithm

1×	egg-herbie

Rules

618×	`+-commutative`
508×	`associate-+r+`
492×	`distribute-rgt-neg-out`
468×	`associate-/l*`
466×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	9580
1	1248	8946
2	4744	8900

Stop Event

1×	node limit

Counts

186 → 283

Calls

Call 1

Inputs
1
1
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)) (/.f64 1 (+.f64 1 (-.f64 x x)))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)) (/.f64 1 (+.f64 1 (-.f64 x x)))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 1 (+.f64 1 (-.f64 x x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (neg.f64 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) x) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
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(+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 (-.f64 x x)))) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (+.f64 1 (-.f64 x x)))))
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(+.f64 (.f64 x (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (.f64 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(+.f64 (.f64 (+.f64 1 x) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (.f64 (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(+.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
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(/.f64 (.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (-.f64 x x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (cbrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (-.f64 x x))) 1) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1) (neg.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (*.f64 (-.f64 x (+.f64 1 x)) 1) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (+.f64 1 (+.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 2) (.f64 x (+.f64 1 (+.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3) (pow.f64 (pow.f64 x 3/2) 3)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 x x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1)) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 (/.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (/.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(/.f64 (/.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(/.f64 (/.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))) (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (.f64 (cbrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))) (cbrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))) (cbrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))

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

localize49.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))
✓	99.9%	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
✓	78.2%	(sqrt.f64 (*.f64 (+.f64 x 1) x))
✓	76.4%	(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))

Compiler

Compiled 77 to 54 computations (29.9% saved)

series11.0ms (0.2%)

Counts

4 → 38

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 (+.f64 x 1) x))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))

rewrite145.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`associate-/l*`
624×	`associate-+l+`
428×	`+-commutative`
376×	`add-sqr-sqrt`
362×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	354	142
2	5477	142

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
(sqrt.f64 (*.f64 (+.f64 x 1) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (.f64 (neg.f64 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (neg.f64 (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (.f64 (neg.f64 (pow.f64 x 3/2)) 1) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (neg.f64 (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/4)) (pow.f64 x 3/4) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (.f64 (neg.f64 (pow.f64 x 3/2)) 1) (fma.f64 (neg.f64 (pow.f64 x 3/4)) (pow.f64 x 3/4) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (neg.f64 (pow.f64 x 3/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 3/2))) x (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (.f64 (neg.f64 (pow.f64 x 3/2)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 3/2))) x (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/4)) (pow.f64 x 3/4) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 3/2))) x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2))))))) (#(struct:change 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(+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 x 1))))))

simplify154.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac`
680×	`+-commutative`
650×	`associate-r`
612×	`associate-/r*`
582×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	701	16284
1	1960	15170

Stop Event

1×	node limit

Counts

246 → 398

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 3/2 x))) (pow.f64 x 3/2))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x)))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))))
(.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (.f64 3/128 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/8 (/.f64 1 x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 1/2 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 1/2 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/24 (/.f64 (-.f64 (.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (+.f64 (.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2))))
(+.f64 (.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (.f64 -9/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (.f64 -9/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))) (.f64 1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4)))))) (+.f64 (.f64 3/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2) (pow.f64 x 4))))) (.f64 3/2 (/.f64 (-.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (.f64 -9/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4))))))
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1
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (+.f64 x (-.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 x 1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 2))) (/.f64 (-.f64 (+.f64 x (-.f64 1 x)) (sqrt.f64 (+.f64 x (.f64 x x)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (+.f64 x (-.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 x 1))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 2)))) (/.f64 (-.f64 (+.f64 x (-.f64 1 x)) (sqrt.f64 (+.f64 x (.f64 x x)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 2))) (neg.f64 (-.f64 (+.f64 x (-.f64 1 x)) (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (+.f64 x (-.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 x 1)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))))) (-.f64 (+.f64 x -1) (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 2) (pow.f64 (+.f64 x 1) 2)) (+.f64 x (-.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 x 1))))
(/.f64 (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (+.f64 x (.f64 x x))) (+.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (.f64 x x)))))) (.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) 3/2) (pow.f64 (+.f64 x (+.f64 x 1)) 3)) (+.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (+.f64 x (-.f64 (.f64 x x) (.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(/.f64 (+.f64 (.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (.f64 (+.f64 x -1) (.f64 x (-.f64 x (+.f64 x 1))))) (.f64 (+.f64 x -1) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (+.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))) (.f64 (+.f64 x -1) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)))) (.f64 (+.f64 x -1) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))))
(/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (.f64 (fma.f64 x x (-.f64 1 x)) (.f64 x (-.f64 x (+.f64 x 1))))) (.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))) (.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)))) (.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))))
(/.f64 (+.f64 (.f64 (.f64 x (-.f64 x (+.f64 x 1))) (+.f64 x -1)) (.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (fma.f64 x x -1))) (.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (+.f64 x -1)))
(/.f64 (+.f64 (.f64 (.f64 x (-.f64 x (+.f64 x 1))) (fma.f64 x x (-.f64 1 x))) (.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (+.f64 1 (pow.f64 x 3)))) (.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)) (+.f64 x -1)) (.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (fma.f64 x x -1))) (.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (+.f64 x -1)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)) (fma.f64 x x (-.f64 1 x))) (.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (+.f64 1 (pow.f64 x 3)))) (.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(exp.f64 (log.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(exp.f64 (.f64 (log.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(fma.f64 1 x (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))))
(fma.f64 1 (+.f64 x 1) (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))
(fma.f64 1 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))
(fma.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 x 1))

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

eval510.0ms (8.6%)

Compiler: Compiled 23054 to 15765 computations (31.6% saved)

prune125.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	677	4	681
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	677	8	685

Accurracy

100.0%

Counts

685 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
✓	51.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
▶	76.4%	(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
✓	99.7%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	52.0%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	76.4%	(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
▶	53.6%	(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
	50.2%	1

Compiler

Compiled 110 to 83 computations (24.5% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(sqrt.f64 (/.f64 1 x))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 1 x))
0.0ms	x	@	0	(sqrt.f64 (/.f64 1 x))

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`add-sqr-sqrt`
1148×	`*-un-lft-identity`
1082×	`pow1`
1068×	`add-cube-cbrt`
1058×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	136	7
2	1531	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))))

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-+r+`
1158×	`associate-/r*`
1114×	`associate-+l+`
1092×	`associate-r`
1012×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	506
1	122	404
2	326	314
3	944	314
4	4557	314

Stop Event

1×	node limit

Counts

26 → 29

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)
(fabs.f64 (pow.f64 x -1/2))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))

Outputs
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 1 (sqrt.f64 x))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x -1/2)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 (/.f64 1 x) 1/2)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(fabs.f64 (pow.f64 x -1/2))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)

localize42.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (*.f64 x x))))
✓	98.7%	(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
✓	85.0%	(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
✓	78.2%	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 93 to 49 computations (47.3% saved)

series6.0ms (0.1%)

Counts

4 → 38

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
1.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
1.0ms	x	@	-inf	(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
1.0ms	x	@	0	(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
1.0ms	x	@	inf	(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))

rewrite114.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`associate-+l+`
508×	`+-commutative`
444×	`add-sqr-sqrt`
428×	`*-un-lft-identity`
424×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	148
1	423	122
2	6505	122

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (*.f64 x x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x x x) 1/4) (pow.f64 (fma.f64 x x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 x 4))) (sqrt.f64 (-.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (fma.f64 2 x 1)) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 2 x 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (.f64 (fma.f64 2 x 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 x 1) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 2) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (fma.f64 x x x) (+.f64 (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x))) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (+.f64 (fma.f64 x x x) (+.f64 (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 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simplify153.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate--l+`
760×	`fma-def`
742×	`associate-+l+`
638×	`+-commutative`
628×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	617	13355
1	1709	12089
2	7921	12089

Stop Event

1×	node limit

Counts

239 → 346

Calls

Call 1

Inputs
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/8 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/2)
(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))) 1/2)
(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))) (+.f64 1/2 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
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1
x
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(*.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x x) (+.f64 (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2)))))
(*.f64 (+.f64 (hypot.f64 1 (+.f64 x x)) (pow.f64 (fma.f64 x x x) 1/4)) (-.f64 (hypot.f64 1 (+.f64 x x)) (pow.f64 (fma.f64 x x x) 1/4)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x x) (+.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2))) (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (+.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2))))
(/.f64 (-.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (-.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 (.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x))) (neg.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (neg.f64 (+.f64 (fma.f64 x x x) (+.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2)))))
(pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(fma.f64 1 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (hypot.f64 1 (+.f64 x x)) (hypot.f64 1 (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))

Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 x 1/2) (/.f64 1/8 x))
(+.f64 (+.f64 x 1/2) (/.f64 -1/8 x))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x)))
(+.f64 1/2 (+.f64 x (-.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/2)
(fma.f64 -1 x -1/2)
(fma.f64 x -1 -1/2)
(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1 x (/.f64 1/8 x)) -1/2)
(+.f64 (-.f64 (/.f64 1/8 x) x) -1/2)
(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))) (+.f64 1/2 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 x (/.f64 1/8 x)) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/8 x) x) (+.f64 -1/2 (/.f64 -1/16 (*.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (fma.f64 3/4 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) x) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32))))
(-.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 3/8) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32) x))))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/4 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 x 2))) (.f64 3/16 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2)))))))))
(-.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 3/4 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) x) (fma.f64 3/4 (/.f64 (-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8)))) (.f64 x x)) (.f64 3/16 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (*.f64 x x)))))))))
(-.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -1/64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 3/8 (+.f64 (fma.f64 3/4 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/32) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32)) (.f64 x x)) (.f64 3/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 x x) -1/8)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32) x))))))
(.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 (*.f64 3/2 x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(/.f64 (*.f64 x 3/2) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(-.f64 (/.f64 (*.f64 3/2 x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(-.f64 (-.f64 (/.f64 (.f64 3/2 x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 1/16 (.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(-.f64 (fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (/.f64 1/16 x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 25/128 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(+.f64 (/.f64 25/128 (.f64 (.f64 x x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (-.f64 (-.f64 (/.f64 (.f64 3/2 x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 1/16 (.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(-.f64 (fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 25/128 (.f64 x x)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (fma.f64 1/16 (/.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3/2)) x) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 (*.f64 -3/2 x) (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))
(fma.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 (.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (.f64 (-.f64 (.f64 9/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (fma.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (.f64 (.f64 x x) (-.f64 (/.f64 9/4 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (fma.f64 (.f64 x x) (+.f64 (/.f64 9/4 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (/.f64 -3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (/.f64 (.f64 x -3/2) (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 (.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 9/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (.f64 3/2 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2))))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 9/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (pow.f64 x 2)))))
(+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (fma.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (fma.f64 (+.f64 (/.f64 9/16 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (-.f64 (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (.f64 3/2 (/.f64 (-.f64 (/.f64 9/4 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2)))))) (pow.f64 x 3) (.f64 (*.f64 x x) (-.f64 (/.f64 9/4 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))))
(+.f64 (fma.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))) (fma.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 9/16 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (.f64 -3/2 (-.f64 (/.f64 9/4 (.f64 (+.f64 1 (pow.f64 x 3/2)) (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))))) (.f64 x (.f64 x (+.f64 (/.f64 9/4 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)) (/.f64 -3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 -1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/16) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
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1
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(+.f64 (fma.f64 2 x 1) (-.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) 0) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x x) 1/4)) (pow.f64 (fma.f64 x x x) 1/4) (hypot.f64 x (sqrt.f64 x))) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x x) 1/4)) (pow.f64 (fma.f64 x x x) 1/4) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (fma.f64 2 x 1) (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (*.f64 (hypot.f64 x (sqrt.f64 x)) 0)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)) (hypot.f64 x (sqrt.f64 x))) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (fma.f64 2 x 1) (+.f64 (.f64 (cbrt.f64 (fma.f64 x x x)) (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))) (.f64 (hypot.f64 x (sqrt.f64 x)) 0)))
(+.f64 (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x 1)) x)
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(*.f64 1 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 1)
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))
(.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x x) (+.f64 (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1) (pow.f64 (fma.f64 2 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 2 x 1) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(*.f64 (+.f64 (hypot.f64 1 (+.f64 x x)) (pow.f64 (fma.f64 x x x) 1/4)) (-.f64 (hypot.f64 1 (+.f64 x x)) (pow.f64 (fma.f64 x x x) 1/4)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x x) 1/4) (hypot.f64 1 (+.f64 x x))) (-.f64 (hypot.f64 1 (+.f64 x x)) (pow.f64 (fma.f64 x x x) 1/4)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x x) (+.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2))) (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1) (pow.f64 (fma.f64 2 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 2 x 1) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (+.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1) (pow.f64 (fma.f64 2 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 2 x 1) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(/.f64 (-.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (-.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (+.f64 (hypot.f64 x (sqrt.f64 x)) (.f64 -2 x)))) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 (.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (fma.f64 2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 2) (*.f64 (fma.f64 2 x 1) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x))) (neg.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (neg.f64 (+.f64 (fma.f64 x x x) (+.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1) (pow.f64 (fma.f64 2 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 2 x 1) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 1)
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 2)
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))) 3)
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 2))
(fabs.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) 3))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(exp.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (fma.f64 2 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (hypot.f64 1 (+.f64 x x)) (hypot.f64 1 (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (*.f64 (hypot.f64 1 (+.f64 x x)) (hypot.f64 1 (+.f64 x x))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))

localize41.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 1 x) 3/2)
✓	100.0%	(-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))
✓	83.4%	(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
	78.2%	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 85 to 35 computations (58.8% saved)

series2.0ms (0%)

Counts

3 → 29

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
0.0ms	x	@	inf	(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
0.0ms	x	@	0	(-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
0.0ms	x	@	-inf	(pow.f64 (+.f64 1 x) 3/2)

rewrite101.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`associate-+l+`
508×	`+-commutative`
428×	`add-sqr-sqrt`
414×	`*-un-lft-identity`
410×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	107
1	403	95
2	6285	95

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))
(pow.f64 (+.f64 1 x) 3/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 1 x) (-.f64 x 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(sqrt.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2)))))))

simplify113.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate--r+`
1128×	`associate-+l-`
1058×	`associate-+r-`
926×	`associate-*r/`
700×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	9456
1	1239	8460
2	4621	8404

Stop Event

1×	node limit

Counts

166 → 291

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/4 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 x 2))) (.f64 3/16 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2)))))))))
(.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(-.f64 (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(-.f64 (+.f64 (.f64 25/128 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
x
(-.f64 x 1/2)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 x)) x) 1/2)
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) x) (+.f64 1/2 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1/2)
(-.f64 (+.f64 (.f64 3 x) 1/2) (.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 3 x) (+.f64 1/2 (.f64 1/16 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 x)))
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(sqrt.f64 (pow.f64 x 3))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 3/2 (sqrt.f64 x))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) 1)
(-.f64 (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1 (/.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
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(*.f64 (+.f64 x (+.f64 x (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (fma.f64 x x x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2))))
(/.f64 (-.f64 (+.f64 x x) (fma.f64 x x x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (+.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (-.f64 (+.f64 (.f64 x x) (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (*.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (+.f64 x (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3))) (+.f64 x (+.f64 x (-.f64 (.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (.f64 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 x x) (fma.f64 x x x))) (neg.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2))) (neg.f64 (+.f64 (+.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))))
(pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) 3/2))
(*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1 x) 3/2) 1)
(*.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 x))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1 x) 3/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2))
(sqrt.f64 (pow.f64 (+.f64 1 x) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2)))

Outputs
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (fma.f64 3/4 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) x) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32))))
(-.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32) x) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32) x))))
(-.f64 (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (.f64 3/4 (/.f64 (-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/4 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 x 2))) (.f64 3/16 (/.f64 (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2)))))))))
(-.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 3/4 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) x) (fma.f64 3/4 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/16) (fma.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8)))) (.f64 x x)) (.f64 3/16 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (*.f64 x x)))))))))
(-.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -1/64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 3/8 (+.f64 (fma.f64 3/16 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) x) (/.f64 -1/8 x)) (/.f64 3/4 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/32) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32) x))))))
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (+.f64 (+.f64 (fma.f64 3/4 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/32) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32)) (.f64 x x)) (.f64 3/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 x x) -1/8)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -3/32) x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -1/64))))
(.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 (*.f64 x 3/2) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 (*.f64 x 3/2) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(-.f64 (/.f64 (*.f64 x 3/2) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(-.f64 (-.f64 (/.f64 (.f64 x 3/2) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 1/16 (.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(-.f64 (fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (/.f64 1/16 x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 -1/16 (*.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (+.f64 (.f64 25/128 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 3/2 (/.f64 x (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (.f64 3/8 (/.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(+.f64 (/.f64 25/128 (.f64 (.f64 x x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (-.f64 (-.f64 (/.f64 (.f64 x 3/2) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 1/16 (.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(-.f64 (fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 25/128 (.f64 x x)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (fma.f64 3/8 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3/2)) (/.f64 (/.f64 1/16 x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (fma.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 25/128 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x))) (fma.f64 3/8 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3/2)) (/.f64 (/.f64 1/16 x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 x)) x) 1/2)
(+.f64 (/.f64 1/8 x) (+.f64 x -1/2))
(+.f64 x (+.f64 (/.f64 1/8 x) -1/2))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) x) (+.f64 1/2 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/8 x) (-.f64 x (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/8 x) -1/2) (/.f64 1/16 (*.f64 x x))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 1/2)
(fma.f64 3 x 1/2)
(fma.f64 x 3 1/2)
(-.f64 (+.f64 (.f64 3 x) 1/2) (.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 3 x 1/2) (/.f64 1/8 x))
(+.f64 (fma.f64 x 3 1/2) (/.f64 -1/8 x))
(-.f64 (+.f64 (.f64 3 x) (+.f64 1/2 (.f64 1/16 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 3 x 1/2) (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x))
(+.f64 (fma.f64 x 3 1/2) (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 -1/8 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (+.f64 (fma.f64 x 3 1/2) (/.f64 -1/8 x)))
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (*.f64 x 3/2))
(fma.f64 x 3/2 1)
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 1 (fma.f64 3/8 (.f64 x x) (.f64 x 3/2)))
(+.f64 1 (fma.f64 x 3/2 (.f64 x (.f64 x 3/8))))
(+.f64 1 (fma.f64 x 3/2 (.f64 3/8 (.f64 x x))))
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (.f64 x x) (.f64 x 3/2))))
(+.f64 (fma.f64 x 3/2 (.f64 x (.f64 x 3/8))) (fma.f64 (pow.f64 x 3) -1/16 1))
(+.f64 (fma.f64 x 3/2 (.f64 3/8 (.f64 x x))) (fma.f64 (pow.f64 x 3) -1/16 1))
(sqrt.f64 (pow.f64 x 3))
(fabs.f64 (pow.f64 x 3/2))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(fma.f64 3/2 (sqrt.f64 x) (fabs.f64 (pow.f64 x 3/2)))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) 3/8 (fma.f64 3/2 (sqrt.f64 x) (fabs.f64 (pow.f64 x 3/2))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 3/2 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/16))))
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(+.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)) (hypot.f64 x (sqrt.f64 x))))
(fma.f64 2 x (+.f64 (.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x))) (.f64 0 (hypot.f64 x (sqrt.f64 x)))))
(fma.f64 2 x (+.f64 (.f64 0 (hypot.f64 x (sqrt.f64 x))) (.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)))))
(+.f64 (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (.f64 x (+.f64 x x))) (.f64 x (+.f64 x x)))
(fma.f64 x (+.f64 x x) (fma.f64 x (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (.f64 4 (.f64 x x)) (hypot.f64 x (sqrt.f64 x)))
(+.f64 (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (.f64 (+.f64 x x) x)) (.f64 (+.f64 x x) x))
(fma.f64 x (+.f64 x x) (fma.f64 x (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (.f64 4 (.f64 x x)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 1 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 2))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (-.f64 (+.f64 x x) (fma.f64 x x x)) (/.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (/.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) 0) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 (+.f64 x x) (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))))
(.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 x (+.f64 x (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 2 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x x)))
(*.f64 (+.f64 x (+.f64 x (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 (+.f64 x x) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (-.f64 (+.f64 x x) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (fma.f64 2 x (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 x (-.f64 x (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (+.f64 x x) (fma.f64 x x x))))
(*.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (/.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) 0) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2))))
(.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 x (+.f64 x (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 2 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x x)))
(/.f64 (-.f64 (+.f64 x x) (fma.f64 x x x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(*.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (/.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) 0) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (+.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 x (+.f64 x (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 2 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (-.f64 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x))))) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (-.f64 (+.f64 (.f64 x x) (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (*.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (-.f64 (fma.f64 x x (.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (fma.f64 x x (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (fma.f64 x x (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (+.f64 x (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3))) (+.f64 x (+.f64 x (-.f64 (.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (.f64 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (+.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x x)))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (fma.f64 2 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 x (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) x)) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x x)))
(/.f64 (neg.f64 (-.f64 (+.f64 x x) (fma.f64 x x x))) (neg.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (/.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 x (fma.f64 x x x))) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) 0) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2))) (neg.f64 (+.f64 (+.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))))
(.f64 (-.f64 (+.f64 x x) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 x (+.f64 x (.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 2 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (-.f64 x (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x x)))
(pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 2)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 3)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2))
(fabs.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))
(log.f64 (exp.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 1))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 x (+.f64 x x) (fma.f64 x (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (.f64 4 (.f64 x x)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1)
(pow.f64 (+.f64 1 x) 3/2)
(*.f64 1 (pow.f64 (+.f64 1 x) 3/2))
(pow.f64 (+.f64 1 x) 3/2)
(*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1 x) 3/2) 1)
(pow.f64 (+.f64 1 x) 3/2)
(*.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4))
(pow.f64 (+.f64 1 x) 3/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 x))
(*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1 x) 3/2))
(pow.f64 (+.f64 1 x) 3/2)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2))
(sqrt.f64 (pow.f64 (+.f64 1 x) 3))
(fabs.f64 (pow.f64 (+.f64 1 x) 3/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))
(pow.f64 (+.f64 1 x) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2))))
(pow.f64 (+.f64 1 x) 3/2)
(cbrt.f64 (pow.f64 (+.f64 1 x) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))
(pow.f64 (+.f64 1 x) 3/2)
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2)))
(pow.f64 (+.f64 1 x) 3/2)

localize23.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 1 x) 1/4)
✓	99.8%	(hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))
✓	99.5%	(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)

Compiler

Compiled 36 to 28 computations (22.2% saved)

series18.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
5.0ms	x	@	inf	(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
2.0ms	x	@	inf	(pow.f64 (+.f64 1 x) 1/4)
2.0ms	x	@	0	(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
1.0ms	x	@	-inf	(hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`*-commutative`
702×	`unswap-sqr`
478×	`swap-sqr`
406×	`sqr-pow`
350×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	240	65
2	2810	65

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
(hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))
(pow.f64 (+.f64 1 x) 1/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/4) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/16) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (pow.f64 (+.f64 x 1) 1/16) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (+.f64 x 1) 1/16)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (+.f64 x 1) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (pow.f64 (+.f64 x 1) 1/16)) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (pow.f64 (+.f64 x 1) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/16) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)) (*.f64 (pow.f64 (+.f64 x 1) 1/16) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/16) (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4)))))))

simplify135.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate-*r/`
912×	`+-commutative`
876×	`associate-+r+`
732×	`associate-r`
668×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	534	11726
1	1528	9832
2	5784	9810

Stop Event

1×	node limit

Counts

128 → 236

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))) (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))) (-.f64 1/16 (.f64 -1/4 (/.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (+.f64 1 (sqrt.f64 x))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (+.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))) (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))) (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 -2 (.f64 (/.f64 (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 x) 1/4))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -3/16 (sqrt.f64 x)) (.f64 1/16 (sqrt.f64 x))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (.f64 1 x) 1/4))) 2)) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))) (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 6)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 -2 (.f64 (/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 7/64 (sqrt.f64 x)) (.f64 -3/64 (sqrt.f64 x))) (.f64 1/4 (/.f64 (-.f64 (+.f64 (.f64 -3/16 (sqrt.f64 x)) (.f64 1/16 (sqrt.f64 x))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (.f64 1 x) 1/4))) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 x) 1/4))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -3/16 (sqrt.f64 x)) (.f64 1/16 (sqrt.f64 x))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (.f64 1 x) 1/4))) 2)) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -1/8 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -3/16 (sqrt.f64 x)) (.f64 1/16 (sqrt.f64 x))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (.f64 1 x) 1/4))) 2)) (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4))))) (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))) (+.f64 (.f64 -2 (.f64 (/.f64 (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 x) 1/4))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -3/16 (sqrt.f64 x)) (.f64 1/16 (sqrt.f64 x))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (.f64 1 x) 1/4))) 2)) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))) (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (+.f64 (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 x) 1/4))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -3/16 (sqrt.f64 x)) (.f64 1/16 (sqrt.f64 x))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (.f64 1 x) 1/4))) 2)) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 6)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 x))))))))
(/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (sqrt.f64 2) 2)))
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1
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(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -1/2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) -1)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -1/2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) -1)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) 3) 1/6))
(/.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))) 1))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3/2))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1/4) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3) 1/6) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 1))))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3)
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 1 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (pow.f64 1 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/4) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/4))
(.f64 (.f64 (pow.f64 (+.f64 x 1) 1/16) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (pow.f64 (+.f64 x 1) 1/16) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))))
(.f64 (.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (+.f64 x 1) 1/16)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (+.f64 x 1) 1/16)))
(.f64 (.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (pow.f64 (+.f64 x 1) 1/16)) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8) (pow.f64 (+.f64 x 1) 1/16)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)))
(.f64 (.f64 (pow.f64 (+.f64 x 1) 1/16) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)) (*.f64 (pow.f64 (+.f64 x 1) 1/16) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/8)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/16) (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/16))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1))))
(sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))
(exp.f64 (*.f64 1/4 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4)))

Outputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (/.f64 (*.f64 -1/2 x) (pow.f64 (+.f64 1 (sqrt.f64 x)) 2)))
(fma.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))) (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (fma.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2)) (.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))))))) (/.f64 1/16 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))) (.f64 x x))))
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(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/8 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))) (-.f64 1/16 (.f64 -1/4 (/.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (+.f64 1 (sqrt.f64 x))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (+.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 5)))) (.f64 -1/2 (.f64 (+.f64 1/8 (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))) (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)))) (pow.f64 x 2)))))
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1
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(pow.f64 (+.f64 1 x) 1/4)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/8))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/8)) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/8))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/8)) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/8))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3/2))
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/6))
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/16) (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/16))
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/8)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))) (pow.f64 (+.f64 1 x) 1/4)) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)) (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))))))
(sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (+.f64 1 x) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4))))
(pow.f64 (+.f64 1 x) 1/4)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(pow.f64 (+.f64 1 x) 1/4)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (+.f64 1 x) 1/4)
(exp.f64 (*.f64 1/4 (log1p.f64 x)))
(pow.f64 (exp.f64 1/4) (log1p.f64 x))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (+.f64 1 x) 1/4)

eval592.0ms (10%)

Compiler: Compiled 34801 to 23640 computations (32.1% saved)

prune177.0ms (3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	948	6	954
Fresh	0	1	1
Picked	1	0	1
Done	3	3	6
Total	952	10	962

Accurracy

100.0%

Counts

962 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
✓	51.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
	43.2%	(/.f64 (+.f64 1 (-.f64 x 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
✓	99.7%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶	57.5%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
✓	52.0%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	53.7%	(*.f64 (pow.f64 x -1/2) 1/2)
▶	53.4%	(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
▶	7.5%	(*.f64 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)) 1/2)
	50.2%	1

Compiler

Compiled 151 to 125 computations (17.2% saved)

localize14.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 (pow.f64 x 1/4) 1)
✓	99.5%	(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)

Compiler

Compiled 20 to 16 computations (20% saved)

series49.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
13.0ms	x	@	-inf	(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
7.0ms	x	@	inf	(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
0.0ms	x	@	-inf	(hypot.f64 (pow.f64 x 1/4) 1)
0.0ms	x	@	0	(hypot.f64 (pow.f64 x 1/4) 1)

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`add-sqr-sqrt`
1474×	`*-un-lft-identity`
1384×	`add-cube-cbrt`
1374×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	187	30
2	1998	30

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
(hypot.f64 (pow.f64 x 1/4) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2) (pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 (pow.f64 x 1/4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (pow.f64 x 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (pow.f64 x 1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (pow.f64 x 1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (pow.f64 x 1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (pow.f64 x 1/4) 1)))))))

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-r`
654×	`*-commutative`
612×	`fma-def`
566×	`associate-l`
512×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1463
1	175	1323
2	607	1191
3	2445	1079
4	7109	1079

Stop Event

1×	node limit

Counts

57 → 49

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) 1)
(*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2) (pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(-.f64 (+.f64 1 (hypot.f64 (pow.f64 x 1/4) 1)) 1)
(*.f64 1 (hypot.f64 (pow.f64 x 1/4) 1))
(*.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1)
(*.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(*.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1)
(pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 3)
(pow.f64 (+.f64 1 (sqrt.f64 x)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 3) 1/3)
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 3))
(expm1.f64 (log1p.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(exp.f64 (log.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 1))
(log1p.f64 (expm1.f64 (hypot.f64 (pow.f64 x 1/4) 1)))

Outputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (exp.f64 (log.f64 x)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (exp.f64 (log.f64 x)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (exp.f64 (log.f64 x)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (exp.f64 (log.f64 x)))))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(hypot.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (log.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(hypot.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (log.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(hypot.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (log.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(hypot.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)))
(hypot.f64 1 (pow.f64 (exp.f64 1/4) (log.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2) (pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2))
(pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -4)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) -2))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1) 3))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(exp.f64 (log.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)) 1))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (hypot.f64 (pow.f64 x 1/4) 1)) 1)
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(*.f64 1 (hypot.f64 (pow.f64 x 1/4) 1))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(*.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1)
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(*.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(*.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1)
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(pow.f64 (sqrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 2)
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(pow.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 3)
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(pow.f64 (+.f64 1 (sqrt.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 3) 1/3)
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(sqrt.f64 (+.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) 3))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(expm1.f64 (log1p.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(exp.f64 (log.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 1/4) 1)) 1))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)
(log1p.f64 (expm1.f64 (hypot.f64 (pow.f64 x 1/4) 1)))
(+.f64 1 (-.f64 (hypot.f64 (pow.f64 x 1/4) 1) 1))
(+.f64 (hypot.f64 (pow.f64 x 1/4) 1) 0)
(hypot.f64 (pow.f64 x 1/4) 1)

localize9.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 x -1/2)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow.f64 x -1/2)
0.0ms	x	@	-inf	(pow.f64 x -1/2)
0.0ms	x	@	inf	(pow.f64 x -1/2)

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`add-sqr-sqrt`
916×	`*-un-lft-identity`
870×	`pow1`
862×	`add-cube-cbrt`
854×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1197	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(pow.f64 x -1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))))

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-r`
982×	`associate-l`
864×	`associate-/r*`
734×	`associate-/l*`
550×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	395
1	107	395
2	228	299
3	738	299
4	4023	299

Stop Event

1×	node limit

Counts

29 → 23

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (pow.f64 x -1/2) 1) 1)
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(sqrt.f64 (pow.f64 x -1))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 x -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))

Outputs
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(-.f64 (+.f64 (pow.f64 x -1/2) 1) 1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(sqrt.f64 (pow.f64 x -1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (pow.f64 x -1/2) 3))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)

localize7.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 x))
0.0ms	x	@	0	(/.f64 1 (sqrt.f64 x))
0.0ms	x	@	inf	(/.f64 1 (sqrt.f64 x))

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`add-sqr-sqrt`
1144×	`*-un-lft-identity`
1078×	`pow1`
1064×	`add-cube-cbrt`
1054×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	7
2	1524	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))))

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-r`
794×	`associate-/l*`
754×	`*-commutative`
666×	`associate-l`
524×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	397
1	114	287
2	504	179
3	2493	179
4	5331	179

Stop Event

1×	node limit

Counts

21 → 30

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -1/2) 3) 1/3)
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 x -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))

Outputs
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 (pow.f64 x 1/4) -2)
(/.f64 1 (pow.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(pow.f64 x -1/2)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 (pow.f64 x -1/2) 3) 1/3)
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (pow.f64 x -1/2) 3))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (sqrt.f64 x))
✓	99.7%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

series4.0ms (0.1%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
0.0ms	x	@	0	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
0.0ms	x	@	-inf	(+.f64 1 (sqrt.f64 x))
0.0ms	x	@	inf	(+.f64 1 (sqrt.f64 x))

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1554×	`*-un-lft-identity`
1452×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	165	28
2	2044	28

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 x))) (/.f64 x (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 x (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (-.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) 1)))))

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1600×	`distribute-lft-in`
1554×	`distribute-rgt-in`
950×	`unswap-sqr`
574×	`associate-*r/`
568×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1474
1	309	1330
2	1077	1132
3	4665	1132

Stop Event

1×	node limit

Counts

62 → 78

Calls

Call 1

Inputs
1
1
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -1))
(pow.f64 (+.f64 1 (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 x))) (/.f64 x (-.f64 1 (sqrt.f64 x))))
(*.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 x)) 1)
(*.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (sqrt.f64 x))))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 x (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (+.f64 1 (sqrt.f64 x)) 1)
(/.f64 (hypot.f64 1 (pow.f64 x 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 x))) -1)
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) 1))
(pow.f64 (+.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 x))))
(exp.f64 (log1p.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 x) 1)
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) 1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) 1)

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

localize25.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 x -1/2)
✓	100.0%	(-.f64 (pow.f64 x -1/2) 1)
✓	85.1%	(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 (pow.f64 x -1/2) 1)
0.0ms	x	@	0	(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
0.0ms	x	@	-inf	(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
0.0ms	x	@	inf	(-.f64 (pow.f64 x -1/2) 1)
0.0ms	x	@	0	(-.f64 (pow.f64 x -1/2) 1)

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`add-sqr-sqrt`
1634×	`*-un-lft-identity`
1546×	`add-cube-cbrt`
1536×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	182	20
2	2389	20

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
(-.f64 (pow.f64 x -1/2) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)) (/.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (*.f64 (pow.f64 x -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1) (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2)) (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) 1) (-.f64 (+.f64 (pow.f64 x -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))) 1) (+.f64 (+.f64 1 (pow.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (+.f64 1 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1) -1) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3/2) -1) (/.f64 1 (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/4) 1) (-.f64 (pow.f64 x -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -3/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -1) -1) (+.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -1) -1) (-.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) -1) (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) -1) (+.f64 (pow.f64 x -1) (-.f64 1 (*.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -1) -1)) (neg.f64 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3/2) -1)) (neg.f64 (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) -1)))))

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-*r/`
702×	`distribute-lft-in`
636×	`times-frac`
618×	`fma-neg`
578×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2459
1	414	2279
2	1594	1991
3	7945	1991

Stop Event

1×	node limit

Counts

95 → 109

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (pow.f64 (/.f64 1 x) 1/2) 1)
(-.f64 (pow.f64 (/.f64 1 x) 1/2) 1)
(-.f64 (pow.f64 (/.f64 1 x) 1/2) 1)
(-.f64 (pow.f64 (/.f64 1 x) 1/2) 1)
(-.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (pow.f64 x -1/2) 0)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)) (/.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(.f64 (pow.f64 x -1/4) (.f64 (pow.f64 x -1/4) 1))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(.f64 (cbrt.f64 (pow.f64 x -1)) (.f64 (cbrt.f64 (pow.f64 x -1/2)) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1) (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2)) (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) 1) (-.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))) 1) (+.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (pow.f64 x -1/2)) 1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2) (+.f64 (pow.f64 x -1/2) -1)))))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (pow.f64 x -1/4) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (*.f64 x x) -1/4)
(pow.f64 (pow.f64 x -3/2) 1/3)
(sqrt.f64 (pow.f64 x -1))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(fma.f64 1 (+.f64 (pow.f64 x -1/2) -1) 1)
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 1)
(+.f64 (pow.f64 x -1/2) -1)
(+.f64 -1 (pow.f64 x -1/2))
(*.f64 1 (+.f64 (pow.f64 x -1/2) -1))
(*.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)))
(*.f64 (+.f64 (pow.f64 x -1) -1) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(*.f64 (+.f64 (pow.f64 x -3/2) -1) (/.f64 1 (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2)))))
(*.f64 (+.f64 (pow.f64 x -1/4) 1) (-.f64 (pow.f64 x -1/4) 1))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -3/2) -1)))
(/.f64 (+.f64 (pow.f64 x -1) -1) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 x -1) -1) (-.f64 (pow.f64 x -1/2) -1))
(/.f64 (+.f64 (pow.f64 x -3/2) -1) (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 x -3/2) -1) (+.f64 (pow.f64 x -1) (-.f64 1 (*.f64 (pow.f64 x -1/2) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -1) -1)) (neg.f64 (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3/2) -1)) (neg.f64 (+.f64 (pow.f64 x -1) (+.f64 1 (pow.f64 x -1/2)))))
(pow.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))
(expm1.f64 (*.f64 -1/2 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) -1)))
(fma.f64 1 (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) -1)

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

eval149.0ms (2.5%)

Compiler: Compiled 3673 to 3039 computations (17.3% saved)

prune47.0ms (0.8%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	306	6	312
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	306	16	322

Accurracy

100.0%

Counts

322 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.5%	(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
✓	51.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
	57.5%	(/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))
	43.2%	(/.f64 (+.f64 1 (-.f64 x 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
	57.5%	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))))
	57.5%	(/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1))
✓	99.7%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	57.5%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
	50.6%	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
✓	52.0%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	53.3%	(*.f64 (pow.f64 (pow.f64 x -1/4) 2) 1/2)
✓	53.7%	(*.f64 (pow.f64 x -1/2) 1/2)
✓	53.4%	(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
✓	7.5%	(*.f64 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)) 1/2)
	37.8%	(*.f64 (cbrt.f64 (pow.f64 x -3/2)) 1/2)
	50.2%	1

Compiler

Compiled 154 to 128 computations (16.9% saved)

regimes19.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 x -1/2) 1/2)
(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1))
(/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)) 1/2)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -3/2)) 1/2)
(*.f64 (pow.f64 (pow.f64 x -1/4) 2) 1/2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(pow.f64 (hypot.f64 (pow.f64 x 1/4) 1) -2)
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x x)))))
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)

Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Calls

2 calls:

10.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 212 to 155 computations (26.9% saved)

regimes35.0ms (0.6%)

Counts

13 → 2

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 x -1/2) 1/2)
(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1))
(/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)) 1/2)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -3/2)) 1/2)
(*.f64 (pow.f64 (pow.f64 x -1/4) 2) 1/2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
(*.f64 (pow.f64 x -1/2) 1/2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Calls

2 calls:

28.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 102 to 78 computations (23.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.61776037607342e-5	0.08535690904183557

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 x -1/2) 1/2)
(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1))
(/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)) 1/2)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -3/2)) 1/2)
(*.f64 (pow.f64 (pow.f64 x -1/4) 2) 1/2)

Outputs
(/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))
(*.f64 (pow.f64 x -1/2) 1/2)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 87 to 68 computations (21.8% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.27752156107196674	33.81513420653703

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 131 to 107 computations (18.3% saved)

regimes10.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 x -1/2) 1/2)
(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1))

Outputs
(/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) 1/2)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 35 to 27 computations (22.9% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.27752156107196674	33.81513420653703

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 131 to 114 computations (13% saved)

regimes10.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 x -1/2) 1/2)
(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))

Outputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) 1/2)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.27752156107196674	33.81513420653703

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 117 to 100 computations (14.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -57.5b remaining (-2889.1%)

Threshold costs -57.5b (-2889.1%)

Counts

4 → 2

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 x -1/2) 1/2)
(*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 x)) 1/2)

Outputs
1
(*.f64 (pow.f64 x -1/2) 1/2)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
96.9%	2	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0008414329299093155	0.27752156107196674

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 92 to 81 computations (12% saved)

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
10×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	243
1	54	243
2	61	243
3	65	243
4	67	243

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (*.f64 (pow.f64 x -1/2) 1/2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 x 1) (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1)) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1/4) 1 (*.f64 (pow.f64 x -1/2) 1/2))
1

Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (*.f64 (pow.f64 x -1/2) 1/2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (*.f64 (pow.f64 x -1/2) 1/2) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 x 1) (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1) (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 x)) -1)) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 x) 2) -1)) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 (pow.f64 x -1/2) 1/2))
(if (<=.f64 x 1/4) 1 (*.f64 (pow.f64 x -1/2) 1/2))
1

Compiler

Compiled 98 to 78 computations (20.4% saved)

soundness179.0ms (3%)

Algorithm

2×	egg-herbie

Rules

1196×	`associate-+r+`
1158×	`associate-/r*`
1114×	`associate-+l+`
1092×	`associate-r`
1012×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	701	16284
1	1960	15170
0	62	506
1	122	404
2	326	314
3	944	314
4	4557	314

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 53 to 46 computations (13.2% saved)

end62.0ms (1%)

Compiler: Compiled 92 to 68 computations (26.1% saved)

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21

Details

analyze3.0ms (0.1%)

sample1.4s (23.5%)

preprocess47.0ms (0.8%)

simplify46.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite82.0ms (1.4%)

simplify61.0ms (1%)

eval17.0ms (0.3%)

prune40.0ms (0.7%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite86.0ms (1.4%)

simplify119.0ms (2%)

localize49.0ms (0.8%)

series11.0ms (0.2%)

rewrite145.0ms (2.4%)

simplify154.0ms (2.6%)

eval510.0ms (8.6%)

prune125.0ms (2.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (0.8%)

simplify48.0ms (0.8%)

localize42.0ms (0.7%)

series6.0ms (0.1%)

rewrite114.0ms (1.9%)

simplify153.0ms (2.6%)

localize41.0ms (0.7%)

series2.0ms (0%)

rewrite101.0ms (1.7%)

simplify113.0ms (1.9%)

localize23.0ms (0.4%)

series18.0ms (0.3%)

rewrite74.0ms (1.2%)

simplify135.0ms (2.3%)

eval592.0ms (10%)

prune177.0ms (3%)

localize14.0ms (0.2%)

series49.0ms (0.8%)

rewrite54.0ms (0.9%)

simplify68.0ms (1.1%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite46.0ms (0.8%)

simplify58.0ms (1%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite48.0ms (0.8%)

simplify54.0ms (0.9%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite68.0ms (1.2%)

simplify58.0ms (1%)

localize25.0ms (0.4%)

series1.0ms (0%)

rewrite61.0ms (1%)

simplify86.0ms (1.5%)

eval149.0ms (2.5%)

prune47.0ms (0.8%)

regimes19.0ms (0.3%)

regimes35.0ms (0.6%)

bsearch0.0ms (0%)

regimes15.0ms (0.3%)

bsearch12.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch12.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch13.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch13.0ms (0.2%)

simplify30.0ms (0.5%)

soundness179.0ms (3%)

end62.0ms (1%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21
0	1	1

Iter	Nodes	Cost
0	9	21
1	14	21
2	18	21
3	26	21
4	35	21
5	52	21
6	103	21
7	141	21
8	187	21
9	233	21
10	257	21
11	259	21