Details

analyze6.0ms (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)

sample2.1s (25.6%)

Results

834.0ms	2044×	body	1024	valid
786.0ms	4915×	body	256	valid
279.0ms	1063×	body	512	valid
158.0ms	234×	body	2048	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess20.0ms (0.2%)

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)

simplify37.0ms (0.4%)

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))

eval1.0ms (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

Error

28.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series6.0ms (0.1%)

Counts

1 → 1

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms	x	@	0	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite127.0ms (1.6%)

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)))))))

simplify100.0ms (1.2%)

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)))

eval14.0ms (0.2%)

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

prune23.0ms (0.3%)

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

Error

0.1b

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(/.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)))))
▶	0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	28.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	29.9b	1

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	0.2b	(/.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))

rewrite130.0ms (1.6%)

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

simplify177.0ms (2.2%)

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))))))
(+.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 (/.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 (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 (.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 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 (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))

localize80.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))
✓	0.0b	(/.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)))))
✓	12.9b	(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
✓	13.2b	(sqrt.f64 (*.f64 (+.f64 x 1) x))

Compiler

Compiled 77 to 54 computations (29.9% saved)

series13.0ms (0.2%)

Counts

4 → 37

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	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)))))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 (+.f64 x 1) x))
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)))))
1.0ms	x	@	0	(/.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)))))

rewrite126.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`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	130
1	354	130
2	5471	130

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 x x))) 1)))) (#(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 (+.f64 x (.f64 x x)) 1/4) (pow.f64 (+.f64 x (.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log1p.f64 x) (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (+.f64 (log1p.f64 x) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
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simplify268.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-+r-`
678×	`fma-def`
584×	`associate-r`
554×	`associate-/l*`
516×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	12872
1	1593	10652
2	7796	10652

Stop Event

1×	node limit

Counts

218 → 337

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

Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.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 (+.f64 (+.f64 1/2 (/.f64 1/16 (*.f64 x x))) x) (/.f64 1/8 x))
(+.f64 1/2 (+.f64 (/.f64 1/16 (*.f64 x x)) (+.f64 x (/.f64 -1/8 x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
x
(+.f64 1/2 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 x 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 x (/.f64 1/8 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/8 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 (+.f64 (+.f64 1/2 (/.f64 1/16 (*.f64 x x))) x) (/.f64 1/8 x))
(+.f64 1/2 (+.f64 (/.f64 1/16 (*.f64 x x)) (+.f64 x (/.f64 -1/8 x))))
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (*.f64 x 3/2) (pow.f64 x 3/2)))
(-.f64 (fma.f64 x 3/2 1) (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 1 (-.f64 (fma.f64 3/8 (.f64 x x) (.f64 x 3/2)) (pow.f64 x 3/2)))
(+.f64 (fma.f64 x 3/2 (.f64 x (.f64 x 3/8))) (-.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 (fma.f64 -1/16 (pow.f64 x 3) 1) (-.f64 (fma.f64 x 3/2 (.f64 x (.f64 x 3/8))) (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)))
(fma.f64 3/2 (sqrt.f64 x) (*.f64 3/8 (sqrt.f64 (/.f64 1 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 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.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)))
(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 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/8 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.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))))
(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 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/8 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.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)))))
(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 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/8 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (fma.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)))))
(fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.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)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 4)) (.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 (.f64 (.f64 -1/2 (sqrt.f64 (pow.f64 x 3))) -1/8) (pow.f64 x 4))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4)))
(-.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 (fma.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 4)) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 -1/24 (/.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 5)) (fma.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 5)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/4)))))
(-.f64 (fma.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (/.f64 (.f64 (.f64 -1/2 (sqrt.f64 (pow.f64 x 3))) -1/8) (pow.f64 x 4))))) (fma.f64 -1/24 (/.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 (pow.f64 x 5) -1/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 1/96 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/4 (*.f64 (/.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 (pow.f64 x 5) -1/8)) -1/4)))))
(.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 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 (*.f64 x x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2))))
(.f64 1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)))
(+.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))))
(fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 (.f64 x x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 3/8 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2)) (.f64 9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.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 1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x))) (/.f64 (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 9) 9/4)) (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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(-.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) x)) (/.f64 (+.f64 x (.f64 x x)) (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(-.f64 (.f64 (/.f64 x (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) x) (/.f64 (+.f64 x (.f64 x x)) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x x)))) (/.f64 (fma.f64 x x x) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (*.f64 x x)))))) 1)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 1)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)) x)
(.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))) 2))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(.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 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(.f64 (.f64 x (-.f64 x (+.f64 x 1))) (/.f64 1 (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)) (/.f64 1 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)) 1) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x x) 3/2)) (*.f64 x (+.f64 x (+.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x x x)))))))
(/.f64 x (/.f64 (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) (-.f64 x (+.f64 x 1))))
(.f64 (.f64 x (-.f64 x (+.f64 x 1))) (/.f64 1 (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(/.f64 (pow.f64 x 3/2) (/.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(.f64 (/.f64 (pow.f64 x 3/2) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (.f64 (pow.f64 x 3/2) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (.f64 x (+.f64 x (+.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x x x)))))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(/.f64 (.f64 x (-.f64 x (+.f64 x 1))) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))
(.f64 (.f64 x (-.f64 x (+.f64 x 1))) (/.f64 1 (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)) 1) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x x) 3/2)) (*.f64 x (+.f64 x (+.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x x x)))))))
(/.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (/.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(/.f64 (sqrt.f64 (.f64 x (-.f64 x (+.f64 x 1)))) (/.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (sqrt.f64 (*.f64 x (-.f64 x (+.f64 x 1))))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 x (+.f64 x 1)))) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (sqrt.f64 (.f64 x (-.f64 x (+.f64 x 1)))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2))) (/.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2))) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (*.f64 x x)) 3/2))))
(/.f64 (.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x x) 3/4)) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x x) 3/4))) (.f64 x (+.f64 x (+.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x x x)))))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 x (+.f64 x 1)))) (cbrt.f64 (.f64 x (-.f64 x (+.f64 x 1))))) (/.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (cbrt.f64 (*.f64 x (-.f64 x (+.f64 x 1))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 x (+.f64 x 1)))) (cbrt.f64 (.f64 x (-.f64 x (+.f64 x 1))))) (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) (cbrt.f64 (.f64 x (-.f64 x (+.f64 x 1)))))
(/.f64 (cbrt.f64 (neg.f64 x)) (/.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)))) (/.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2)))) (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (.f64 x x))))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (*.f64 x x)) 3/2))))
(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x x) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x x) 3/2)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x x) 3/2)))) (*.f64 x (+.f64 x (+.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x x x)))))))
(/.f64 (+.f64 x (-.f64 (.f64 x x) (.f64 x x))) (-.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) x))
(/.f64 (+.f64 x 0) (-.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) x))
(/.f64 x (-.f64 (sqrt.f64 (fma.f64 x x x)) x))
(/.f64 (neg.f64 (.f64 x (-.f64 x (+.f64 x 1)))) (neg.f64 (-.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))
(/.f64 (+.f64 x 0) (-.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) x))
(/.f64 x (-.f64 (sqrt.f64 (fma.f64 x x x)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (.f64 x x)) 3/2))) (neg.f64 (fma.f64 x x (.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x x) 3/2)) (.f64 x (+.f64 x (+.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x x x))))))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 1)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))) 2)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))) 3)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 3) 1/3)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x x))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))) 3))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(exp.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))) 1))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(fma.f64 1 x (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(fma.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))) x)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)) x)
(fma.f64 (pow.f64 (+.f64 x (.f64 x x)) 1/4) (pow.f64 (+.f64 x (.f64 x x)) 1/4) x)
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))
(fma.f64 (cbrt.f64 (+.f64 x (.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 x x)))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x x))) (cbrt.f64 (fma.f64 x x x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 (-.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.f64 x (sqrt.f64 (fma.f64 x x x)))

eval483.0ms (5.9%)

Compiler: Compiled 20073 to 14021 computations (30.1% saved)

prune197.0ms (2.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	613	7	620
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	613	11	624

Error

0.0b

Counts

624 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
	0.4b	(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
✓	28.5b	(/.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)))))
▶	45.2b	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
▶	14.4b	(/.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)))
▶	45.7b	(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))
✓	0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	10.3b	(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))
✓	28.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	32.0b	(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
	29.9b	1

Compiler

Compiled 263 to 203 computations (22.8% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	0.0b	(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
✓	0.3b	(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)

Compiler

Compiled 41 to 28 computations (31.7% saved)

series13.0ms (0.2%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
4.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
1.0ms	x	@	0	(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
1.0ms	x	@	-inf	(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
1.0ms	x	@	inf	(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
732×	`associate-*r/`
678×	`distribute-lft-in`
672×	`distribute-rgt-in`
622×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	280	54
2	3426	54

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-r`
1258×	`associate-l`
1254×	`distribute-lft-in`
1096×	`distribute-rgt-in`
594×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	4009
1	614	3721
2	1834	3695

Stop Event

1×	node limit

Counts

79 → 119

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(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))

rewrite52.0ms (0.6%)

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)))))))

simplify51.0ms (0.6%)

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)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))
✓	0.2b	(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))
✓	0.3b	(*.f64 3/2 (sqrt.f64 x))
	13.2b	(sqrt.f64 (*.f64 (+.f64 x 1) x))

Compiler

Compiled 61 to 39 computations (36.1% saved)

series8.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))
2.0ms	x	@	-inf	(*.f64 3/2 (sqrt.f64 x))
2.0ms	x	@	0	(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))
1.0ms	x	@	inf	(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))
0.0ms	x	@	0	(*.f64 3/2 (sqrt.f64 x))

rewrite107.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`associate-/r*`
1454×	`associate-/l*`
534×	`associate-+l+`
352×	`+-commutative`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	311	62
2	4566	62

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))) (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x 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simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/l*`
1454×	`associate-*r/`
966×	`associate-*l/`
942×	`distribute-lft-in`
878×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	3279
1	442	2753
2	1881	2741

Stop Event

1×	node limit

Counts

57 → 84

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)
(pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 x 9/4))
(log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 3/2 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))))) 1)
(.f64 3/2 (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))
(.f64 (sqrt.f64 x) (.f64 3/2 (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))
(.f64 1 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))) 1)
(.f64 (sqrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))) (sqrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))))
(.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (cbrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))) (cbrt.f64 (/.f64 (.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))) 2))) (cbrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))))
(.f64 (cbrt.f64 (.f64 x 9/4)) (.f64 (cbrt.f64 (.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 1 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) (*.f64 3/2 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) -3/2) (/.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 x 1))) (+.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) (/.f64 3/2 (/.f64 (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))) (sqrt.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) 2)) (/.f64 3/2 (/.f64 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))) (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) (/.f64 3/2 (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 3/2 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) (sqrt.f64 x))
(.f64 (/.f64 3/2 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x (sqrt.f64 (.f64 x (+.f64 x 1)))) 2)) (sqrt.f64 x))) (+.f64 x (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (sqrt.f64 (.f64 x (+.f64 x 1)))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x (sqrt.f64 (.f64 x (+.f64 x 1)))) (+.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) (-.f64 x (+.f64 x 1))))))
(.f64 (/.f64 3/2 (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) 2)) (/.f64 3/2 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) 2)) (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (.f64 3/2 (sqrt.f64 x))) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) (/.f64 (cbrt.f64 (.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1)))))))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))) 2)) (cbrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))))
(pow.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) 1)
(pow.f64 (sqrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))) 2)
(pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))) 3)
(pow.f64 (pow.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) 3) 1/3)
(pow.f64 (.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))) (/.f64 2/3 (sqrt.f64 x))) -1)
(neg.f64 (/.f64 3/2 (/.f64 (-.f64 -1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 x 1))) (+.f64 x x))) (sqrt.f64 x))))
(sqrt.f64 (/.f64 (.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))) 2)))
(log.f64 (exp.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))))))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))) 3)))
(expm1.f64 (log1p.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))))
(exp.f64 (log.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))))
(exp.f64 (.f64 (log.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 1))))))))) 1))
(log1p.f64 (expm1.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1))))))))))

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

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	0.0b	(-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))
✓	10.2b	(/.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)))
✓	13.2b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 85 to 35 computations (58.8% saved)

series7.0ms (0.1%)

Counts

4 → 37

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	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)))
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)))
1.0ms	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 x (*.f64 x x))

rewrite176.0ms (2.2%)

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	124
1	403	102
2	6283	102

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

Inputs
(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 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))
(+.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 (hypot.f64 1 (sqrt.f64 x)) (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 1 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))))))))
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egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))))

simplify287.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1700×	`associate-+r-`
1634×	`associate-+l-`
626×	`fma-def`
548×	`+-commutative`
486×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	10239
1	1472	8891
2	5833	8889

Stop Event

1×	node limit

Counts

237 → 344

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

localize66.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
✓	0.3b	(*.f64 3/8 (sqrt.f64 (/.f64 1 x)))
	0.3b	(*.f64 3/2 (sqrt.f64 x))
	13.2b	(sqrt.f64 (*.f64 (+.f64 x 1) x))

Compiler

Compiled 93 to 64 computations (31.2% saved)

series9.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
2.0ms	x	@	inf	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
2.0ms	x	@	0	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
1.0ms	x	@	-inf	(*.f64 3/8 (sqrt.f64 (/.f64 1 x)))
0.0ms	x	@	inf	(*.f64 3/8 (sqrt.f64 (/.f64 1 x)))

rewrite126.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-/r*`
702×	`associate-+l+`
454×	`+-commutative`
436×	`add-sqr-sqrt`
420×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	427	74
2	6068	74

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(*.f64 3/8 (sqrt.f64 (/.f64 1 x)))
(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3/8 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/8 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (pow.f64 1 1/2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3/8 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) (pow.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3/8 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3/8 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3/8 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 x) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3/8 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3/8 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3/8 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3/8 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3/8 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3/8 (sqrt.f64 x))))))))

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

870×	`distribute-lft-in`
868×	`associate-*r/`
832×	`distribute-rgt-in`
794×	`associate-+r-`
674×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	3002
1	409	2778
2	1555	2594
3	7663	2594

Stop Event

1×	node limit

Counts

56 → 79

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/8 (sqrt.f64 x)))) 1)
(/.f64 3/8 (sqrt.f64 x))
(/.f64 (/.f64 3/8 (sqrt.f64 x)) 1)
(/.f64 (/.f64 3/8 (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 (/.f64 3/8 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 3/8 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (/.f64 3/8 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 3/8 (pow.f64 1 1/2)) (sqrt.f64 x))
(/.f64 (/.f64 3/8 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) (pow.f64 (cbrt.f64 x) 1/2))
(pow.f64 (/.f64 3/8 (sqrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 3/8 (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/8 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 3/8 (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1 x) 9/64))
(log.f64 (exp.f64 (/.f64 3/8 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 3/8 (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 3/8 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 3/8 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))) 1)
(.f64 1 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) 1)
(.f64 (sqrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (sqrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) 2) (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) 2) (.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))))
(.f64 (neg.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (/.f64 1 (-.f64 -1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (sqrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) 2)) (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 2))) (-.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (.f64 (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (-.f64 x (+.f64 1 x))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) 1) (/.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) 2)) (/.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (cbrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) 2) (sqrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (/.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) 2)) (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(pow.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))) (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) -1)
(neg.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (-.f64 -1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) 3) (pow.f64 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/8 (sqrt.f64 x)))) 1)
(/.f64 3/8 (sqrt.f64 x))
(/.f64 3/8 (sqrt.f64 x))
(/.f64 (/.f64 3/8 (sqrt.f64 x)) 1)
(/.f64 3/8 (sqrt.f64 x))
(/.f64 (/.f64 3/8 (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 3/8 (sqrt.f64 x))
(/.f64 (/.f64 3/8 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 3/8 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 3/8 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (/.f64 3/8 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 3/8 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 3/8 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 3/8 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 3/8 (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 3/8 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 3/8 (pow.f64 1 1/2)) (sqrt.f64 x))
(/.f64 3/8 (sqrt.f64 x))
(/.f64 (/.f64 3/8 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) (pow.f64 (cbrt.f64 x) 1/2))
(/.f64 3/8 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 3/8 (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 3/8 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (/.f64 3/8 (sqrt.f64 x)) 1)
(/.f64 3/8 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (/.f64 3/8 (sqrt.f64 x))) 2)
(/.f64 3/8 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (/.f64 3/8 (sqrt.f64 x))) 3)
(/.f64 3/8 (sqrt.f64 x))
(pow.f64 (pow.f64 (/.f64 3/8 (sqrt.f64 x)) 3) 1/3)
(/.f64 3/8 (sqrt.f64 x))
(sqrt.f64 (*.f64 (/.f64 1 x) 9/64))
(sqrt.f64 (/.f64 9/64 x))
(log.f64 (exp.f64 (/.f64 3/8 (sqrt.f64 x))))
(/.f64 3/8 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (sqrt.f64 x)))))
(/.f64 3/8 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (/.f64 3/8 (sqrt.f64 x)) 3))
(/.f64 3/8 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (/.f64 3/8 (sqrt.f64 x))))
(/.f64 3/8 (sqrt.f64 x))
(exp.f64 (log.f64 (/.f64 3/8 (sqrt.f64 x))))
(/.f64 3/8 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (sqrt.f64 x))) 1))
(/.f64 3/8 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (/.f64 3/8 (sqrt.f64 x))))
(/.f64 3/8 (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))) 1)
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 1 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) 1)
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (sqrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))) 2))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) 2) (cbrt.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) 2) (.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (/.f64 1 (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))) (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(.f64 (neg.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (/.f64 1 (-.f64 -1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x))))))))
(/.f64 (neg.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x)))) (-.f64 (-.f64 -1 (+.f64 x x)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 -3/8 (sqrt.f64 x))) (-.f64 -1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
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(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (.f64 x x)))))))) 1))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 x (+.f64 x (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 x x))))
(/.f64 (fma.f64 (sqrt.f64 x) 3/2 (/.f64 3/8 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (sqrt.f64 (fma.f64 x x x)))))

eval587.0ms (7.2%)

Compiler: Compiled 28660 to 17334 computations (39.5% saved)

prune337.0ms (4.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1036	7	1043
Fresh	2	1	3
Picked	1	0	1
Done	3	4	7
Total	1042	12	1054

Error

Counts

1054 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.5b	(/.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)))))
	31.5b	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1/2))))
	43.6b	(/.f64 (+.f64 1 (+.f64 x (-.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
▶	32.2b	(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x x)))
✓	0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶	30.2b	(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
✓	28.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	32.0b	(*.f64 1/2 (pow.f64 x -1/2))
▶	58.9b	(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
▶	58.9b	(*.f64 1/2 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)))
✓	32.0b	(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
	29.9b	1

Compiler

Compiled 240 to 191 computations (20.4% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series63.0ms (0.8%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	x	@	0	(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
14.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
7.0ms	x	@	inf	(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1588×	`*-un-lft-identity`
1502×	`add-cube-cbrt`
1490×	`add-cbrt-cube`
164×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	175	19
2	2147	19

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-/r*`
924×	`distribute-lft-in`
902×	`distribute-rgt-in`
736×	`associate-r`
612×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	867
1	226	835
2	582	795
3	2812	771

Stop Event

1×	node limit

Counts

33 → 41

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 1)
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 x 3/4))) (/.f64 1 (hypot.f64 1 (pow.f64 x 3/4))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (-.f64 1 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 9/2))) (+.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 x 3/2))))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2))) -1))
(pow.f64 (+.f64 1 (pow.f64 x 3/2)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 1)
(pow.f64 (/.f64 1 (hypot.f64 1 (pow.f64 x 3/4))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 x 3/2))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x 3/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 x 3/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))

Outputs
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1 (fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (log.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1 (fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (log.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1 (fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (log.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1 (fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) 1))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 3/2) (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))) 1)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 1)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 x 3/4))) (/.f64 1 (hypot.f64 1 (pow.f64 x 3/4))))
(pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3/2))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 x 3/2)))))
(/.f64 -1 (-.f64 -1 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (-.f64 1 (pow.f64 x 3/2)))
(/.f64 (-.f64 1 (pow.f64 x 3/2)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 9/2))) (+.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 x 3/2))))
(/.f64 (*.f64 1 (-.f64 (+.f64 1 (pow.f64 x 3)) (pow.f64 x 3/2))) (+.f64 1 (pow.f64 x 9/2)))
(/.f64 (+.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 x 3/2))) (+.f64 1 (pow.f64 x 9/2)))
(/.f64 (+.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 x 3/2))) (+.f64 1 (pow.f64 x 9/2)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 1 (pow.f64 x 9/2)))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -1))
(pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2))) -1))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(pow.f64 (+.f64 1 (pow.f64 x 3/2)) -1)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 1)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(pow.f64 (/.f64 1 (hypot.f64 1 (pow.f64 x 3/4))) 2)
(pow.f64 (hypot.f64 1 (pow.f64 x 3/4)) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 x 3/2)))) 3)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 3) 1/3)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) -2))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) 3))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 x 3/2))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x 3/2)) -1))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 x 3/2))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 x 3/2))) 1))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))

localize9.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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 1 (-.f64 (pow.f64 x -1/2) 1))

rewrite61.0ms (0.7%)

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	19
1	182	7
2	2389	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(+.f64 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)))))

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1042×	`distribute-lft-out`
836×	`associate-r`
760×	`associate-l`
746×	`associate--l-`
692×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1426
1	297	1314
2	1014	1166
3	4795	1166

Stop Event

1×	node limit

Counts

54 → 64

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 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)

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (pow.f64 x -1/2))
✓	6.6b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`add-sqr-sqrt`
1668×	`*-un-lft-identity`
1578×	`add-cube-cbrt`
1568×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	182	20
2	2408	20

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1064×	`distribute-lft-in`
914×	`distribute-rgt-in`
726×	`associate-+r+`
702×	`associate-/l*`
608×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2458
1	427	2322
2	1700	2310

Stop Event

1×	node limit

Counts

104 → 114

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 x 1) (+.f64 x x))
✓	0.2b	(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x x)))
	0.3b	(*.f64 3/2 (sqrt.f64 x))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`associate-/r*`
1402×	`associate-/l*`
996×	`associate-/r/`
308×	`associate-+l+`
280×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	270	46
2	4034	46

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

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simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

682×	`*-commutative`
578×	`associate-r`
548×	`distribute-lft-in`
484×	`associate-*l/`
480×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	203
1	1555	203

Stop Event

1×	node limit

Counts

203 → 194

Calls

Call 1

Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))))) 1)
(.f64 3/2 (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 2 x (+.f64 x 1)))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (fma.f64 2 x (+.f64 x 1))))
(.f64 (.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
(.f64 1 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))))
(.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))) 1)
(.f64 (sqrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
(.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 2 x (+.f64 x 1)))))
(.f64 (cbrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 x 9/4) (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
(.f64 (cbrt.f64 (.f64 x 9/4)) (.f64 (cbrt.f64 (.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 2 x (+.f64 x 1)))))
(.f64 (/.f64 1 (fma.f64 2 x (+.f64 x 1))) (.f64 3/2 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) -3/2) (/.f64 -1 (fma.f64 2 x (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 2/3) (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) 3/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 3/2 (/.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))) 3/2)
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 3/2 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 x))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x))) (-.f64 1 x))
(.f64 (/.f64 3/2 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x))) (.f64 (.f64 3/2 (sqrt.f64 x)) (-.f64 1 x)))
(.f64 (/.f64 1 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
(.f64 (/.f64 -1 (fma.f64 2 x (+.f64 x 1))) (.f64 (sqrt.f64 x) -3/2))
(*.f64 (/.f64 3/2 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 2 x (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 3/2 (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 2 x (+.f64 x 1))))
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 2 x (+.f64 x 1))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) 1) (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
(.f64 (/.f64 3/2 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x))) (*.f64 (sqrt.f64 x) (-.f64 1 x)))
(.f64 (/.f64 3/2 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (.f64 (sqrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x)))))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (fma.f64 2 x (+.f64 x 1))) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 (/.f64 3/2 (/.f64 (fma.f64 2 x (+.f64 x 1)) (pow.f64 x 1/4))) (pow.f64 x 1/4))
(*.f64 (/.f64 1 (/.f64 (fma.f64 2 x (+.f64 x 1)) 3/2)) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (neg.f64 (fma.f64 2 x (+.f64 x 1)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (/.f64 (fma.f64 2 x (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)))) (neg.f64 (-.f64 1 x)))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x)))))))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (-.f64 (.f64 x x) (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))))) (-.f64 0 (+.f64 x 1)))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 x (-.f64 x (pow.f64 (+.f64 x 1) 2)))) (-.f64 (+.f64 x x) (+.f64 x 1)))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x))) (+.f64 x 1))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x (+.f64 x (+.f64 x 1))))))
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (-.f64 (+.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x)) (*.f64 (+.f64 x (+.f64 x 1)) x)))
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(/.f64 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
(/.f64 (/.f64 (+.f64 (.f64 (fma.f64 x x -1) 0) (.f64 (+.f64 x -1) 0)) (+.f64 x -1)) 0)
(/.f64 (/.f64 (+.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x 0)) (.f64 (+.f64 x -1) (*.f64 2 (pow.f64 x 3)))) (+.f64 x -1)) (fma.f64 x x 0))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x (-.f64 1 x)) 0)) (fma.f64 x x (-.f64 1 x))) 0)
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x 0)) (.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x))) (fma.f64 x x 0))
(/.f64 (/.f64 (+.f64 (.f64 0 (+.f64 x -1)) (.f64 0 (fma.f64 x x -1))) 0) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 (.f64 0 (fma.f64 x x (-.f64 1 x))) (.f64 0 (+.f64 1 (pow.f64 x 3)))) 0) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x -1)) (*.f64 (fma.f64 x x 0) (fma.f64 x x -1))) (fma.f64 x x 0)) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (*.f64 (fma.f64 x x 0) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x 0)) (fma.f64 x x (-.f64 1 x)))
(pow.f64 (fma.f64 2 x (+.f64 x 1)) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (+.f64 x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (+.f64 x 1))))
(exp.f64 (log.f64 (fma.f64 2 x (+.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 x (+.f64 x 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 x (+.f64 x 1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (+.f64 x 1)))
(fma.f64 1 x (+.f64 x (+.f64 x 1)))
(fma.f64 1 (+.f64 x 1) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (+.f64 x 1))
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x 1))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 2 x (+.f64 x 1))

Outputs
1
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 3 x) 1)
1
(*.f64 3 x)
1
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 3 x) 1)
1
(*.f64 3 x)
1
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 3 x) 1)
1
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))))) 1)
1
(.f64 3/2 (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 2 x (+.f64 x 1)))))
1
(*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))
1
(*.f64 (sqrt.f64 x) (/.f64 3/2 (fma.f64 2 x (+.f64 x 1))))
1
(.f64 (.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
1
(.f64 1 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))))
1
(.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))) 1)
1
(.f64 (sqrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 2 x (+.f64 x 1)))))
1
(.f64 (cbrt.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2))))
1
(.f64 (cbrt.f64 (/.f64 (.f64 x 9/4) (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(.f64 (cbrt.f64 (.f64 x 9/4)) (.f64 (cbrt.f64 (.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 2 x (+.f64 x 1)))))
1
(.f64 (/.f64 1 (fma.f64 2 x (+.f64 x 1))) (.f64 3/2 (sqrt.f64 x)))
1
(.f64 (.f64 (sqrt.f64 x) -3/2) (/.f64 -1 (fma.f64 2 x (+.f64 x 1))))
1
(*.f64 (/.f64 (sqrt.f64 x) 2/3) (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
1
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) 3/2)))
1
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 3/2 (/.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 x))))
1
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))) 3/2)
1
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 3/2 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(*.f64 (/.f64 3/2 (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 x))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x))) (-.f64 1 x))
1
(.f64 (/.f64 3/2 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))))
1
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x))) (.f64 (.f64 3/2 (sqrt.f64 x)) (-.f64 1 x)))
1
(.f64 (/.f64 1 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(.f64 (/.f64 -1 (fma.f64 2 x (+.f64 x 1))) (.f64 (sqrt.f64 x) -3/2))
1
(*.f64 (/.f64 3/2 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(*.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 2 x (+.f64 x 1))))
1
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 3/2 (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 2 x (+.f64 x 1))))
1
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))))
1
(.f64 (/.f64 (sqrt.f64 (.f64 3/2 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 2 x (+.f64 x 1))))
1
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) 1) (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
1
(.f64 (/.f64 3/2 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x))) (*.f64 (sqrt.f64 x) (-.f64 1 x)))
1
(.f64 (/.f64 3/2 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (.f64 (sqrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(.f64 (/.f64 (cbrt.f64 (.f64 x 9/4)) (fma.f64 2 x (+.f64 x 1))) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))))
1
(*.f64 (/.f64 3/2 (/.f64 (fma.f64 2 x (+.f64 x 1)) (pow.f64 x 1/4))) (pow.f64 x 1/4))
1
(*.f64 (/.f64 1 (/.f64 (fma.f64 2 x (+.f64 x 1)) 3/2)) (sqrt.f64 x))
1
(*.f64 (/.f64 3/2 (neg.f64 (fma.f64 2 x (+.f64 x 1)))) (neg.f64 (sqrt.f64 x)))
1
(*.f64 (/.f64 3/2 (/.f64 (fma.f64 2 x (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)))) (neg.f64 (-.f64 1 x)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (-.f64 (.f64 x x) (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))))) (-.f64 0 (+.f64 x 1)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 x (-.f64 x (pow.f64 (+.f64 x 1) 2)))) (-.f64 (+.f64 x x) (+.f64 x 1)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x))) (+.f64 x 1))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x (+.f64 x (+.f64 x 1))))))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (-.f64 (+.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x)) (*.f64 (+.f64 x (+.f64 x 1)) x)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 (fma.f64 x x -1) 0) (.f64 (+.f64 x -1) 0))) (*.f64 (+.f64 x -1) 0))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x 0)) (.f64 (+.f64 x -1) (.f64 2 (pow.f64 x 3))))) (.f64 (+.f64 x -1) (fma.f64 x x 0)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x (-.f64 1 x)) 0))) (*.f64 (fma.f64 x x (-.f64 1 x)) 0))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x 0)) (.f64 (fma.f64 x x (-.f64 1 x)) (.f64 2 (pow.f64 x 3))))) (.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x 0)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 0 (+.f64 x -1)) (.f64 0 (fma.f64 x x -1)))) (*.f64 0 (+.f64 x -1)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 0 (fma.f64 x x (-.f64 1 x))) (.f64 0 (+.f64 1 (pow.f64 x 3))))) (*.f64 0 (fma.f64 x x (-.f64 1 x))))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x -1)) (.f64 (fma.f64 x x 0) (fma.f64 x x -1)))) (.f64 (fma.f64 x x 0) (+.f64 x -1)))
1
(.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (.f64 (fma.f64 x x 0) (+.f64 1 (pow.f64 x 3))))) (.f64 (fma.f64 x x 0) (fma.f64 x x (-.f64 1 x))))
1
(.f64 (/.f64 1 (/.f64 (fma.f64 2 x (+.f64 x 1)) (cbrt.f64 (.f64 x 9/4)))) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))))
1
(.f64 (/.f64 (.f64 (sqrt.f64 x) -3/2) (neg.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)))) (-.f64 1 x))
1
(.f64 (/.f64 (.f64 (sqrt.f64 x) -3/2) (neg.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x))))))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (neg.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))) (neg.f64 (-.f64 1 x)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (neg.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (-.f64 (.f64 x x) (*.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))))) (-.f64 0 (+.f64 x 1)))
1
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 x (-.f64 x (pow.f64 (+.f64 x 1) 2)))) (-.f64 (+.f64 x x) (+.f64 x 1)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x x))) (+.f64 x 1))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x (+.f64 x (+.f64 x 1))))))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (-.f64 (+.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x)) (.f64 (+.f64 x (+.f64 x 1)) x)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 (fma.f64 x x -1) 0) (.f64 (+.f64 x -1) 0))) (.f64 (+.f64 x -1) 0))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x 0)) (.f64 (+.f64 x -1) (.f64 2 (pow.f64 x 3))))) (*.f64 (+.f64 x -1) (fma.f64 x x 0)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x (-.f64 1 x)) 0))) (.f64 (fma.f64 x x (-.f64 1 x)) 0))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x 0)) (.f64 (fma.f64 x x (-.f64 1 x)) (.f64 2 (pow.f64 x 3))))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x 0)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 0 (+.f64 x -1)) (.f64 0 (fma.f64 x x -1)))) (.f64 0 (+.f64 x -1)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 0 (fma.f64 x x (-.f64 1 x))) (.f64 0 (+.f64 1 (pow.f64 x 3))))) (.f64 0 (fma.f64 x x (-.f64 1 x))))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x -1)) (.f64 (fma.f64 x x 0) (fma.f64 x x -1)))) (*.f64 (fma.f64 x x 0) (+.f64 x -1)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (.f64 (fma.f64 x x 0) (+.f64 1 (pow.f64 x 3))))) (*.f64 (fma.f64 x x 0) (fma.f64 x x (-.f64 1 x))))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) 3/2)) (sqrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
1
(.f64 (/.f64 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) 3/2)) (sqrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(.f64 (/.f64 (/.f64 3/2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2) (sqrt.f64 x))) (cbrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))
1
(.f64 (/.f64 (/.f64 3/2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2) (sqrt.f64 x))) (cbrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))) 1)
1
(pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) 2)
1
(pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) 3)
1
(pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))) 3) 1/3)
1
(pow.f64 (*.f64 (fma.f64 2 x (+.f64 x 1)) (/.f64 2/3 (sqrt.f64 x))) -1)
1
(neg.f64 (/.f64 3/2 (/.f64 (neg.f64 (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 x))))
1
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2)))
1
(log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))))))
1
(cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1)))) 3))
1
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 2 x (+.f64 x 1)) 3)))
1
(expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(exp.f64 (log.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(exp.f64 (.f64 (log.f64 (.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))) 1))
1
(log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 2 x (+.f64 x 1))))))
1
(-.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (+.f64 x 1))))
1
(-.f64 (+.f64 x 1) (-.f64 1 (*.f64 (+.f64 x (+.f64 x 1)) 1)))
1
(-.f64 (+.f64 x (+.f64 x 1)) (-.f64 1 (+.f64 x 1)))
1
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) (-.f64 1 (+.f64 x x)))
1
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (+.f64 x 1)))) 1)
1
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x x)))
1
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 x)) (/.f64 (+.f64 x x) (-.f64 1 x)))
1
(-.f64 (/.f64 x (/.f64 0 x)) (-.f64 (/.f64 x (/.f64 0 x)) (+.f64 x 1)))
1
(-.f64 (+.f64 2 (+.f64 x (+.f64 x x))) 1)
1
(-.f64 (+.f64 (+.f64 x 1) (/.f64 x (/.f64 0 x))) (/.f64 x (/.f64 0 x)))
1
(-.f64 (+.f64 (+.f64 x x) (exp.f64 (log.f64 (+.f64 2 x)))) 1)
1
(-.f64 (+.f64 (+.f64 x x) (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))
1
(-.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x 1)) 1) (+.f64 x 1)) 1)
1
(*.f64 1 (fma.f64 2 x (+.f64 x 1)))
1
(*.f64 (fma.f64 2 x (+.f64 x 1)) 1)
1
(*.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) (sqrt.f64 (fma.f64 2 x (+.f64 x 1))))
1
(*.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2) (cbrt.f64 (fma.f64 2 x (+.f64 x 1))))
1
(.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
1
(.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))
1
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))) (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))
1
(.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x))) (fma.f64 2 x (+.f64 x 1)))
1
(.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 x x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (+.f64 x (*.f64 (+.f64 x 1) (+.f64 x x))))))
1
(.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (-.f64 (.f64 (fma.f64 x x -1) 0) (.f64 (+.f64 x -1) 0))) (*.f64 (+.f64 x -1) 0))
1
(.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (-.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x 0)) (.f64 (+.f64 x -1) (.f64 2 (pow.f64 x 3))))) (.f64 (+.f64 x -1) (fma.f64 x x 0)))
1
(.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (-.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x (-.f64 1 x)) 0))) (*.f64 (fma.f64 x x (-.f64 1 x)) 0))
1
(.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (-.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x 0)) (.f64 (fma.f64 x x (-.f64 1 x)) (.f64 2 (pow.f64 x 3))))) (.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x 0)))
1
(.f64 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (-.f64 (.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (.f64 (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))))) (+.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (*.f64 (+.f64 x 1) (+.f64 x x))))
1
(.f64 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) (pow.f64 (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (.f64 (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))) (.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(/.f64 1 (/.f64 1 (fma.f64 2 x (+.f64 x 1))))
1
(/.f64 (fma.f64 2 x (+.f64 x 1)) 1)
1
(/.f64 (fma.f64 2 x (+.f64 x 1)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
1
(/.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(/.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)))
1
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(/.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)) (-.f64 1 x))
1
(/.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)) (/.f64 1 (/.f64 1 (-.f64 1 x))))
1
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x))))))
1
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x))))))))
1
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))) (fma.f64 2 x (+.f64 x 1))))
1
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))))
1
(/.f64 (sqrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x))))) (sqrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))))
1
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x))) (cbrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)))))
1
(/.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))) (cbrt.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)))))
1
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x))) (neg.f64 (-.f64 1 x)))
1
(/.f64 (neg.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1)))) (-.f64 0 (+.f64 x 1)))
1
(/.f64 (+.f64 x (-.f64 x (pow.f64 (+.f64 x 1) 2))) (-.f64 (+.f64 x x) (+.f64 x 1)))
1
(/.f64 (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x)) (+.f64 x 1))
1
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x (+.f64 x (+.f64 x 1))))))
1
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3)) (-.f64 (+.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (.f64 x x)) (*.f64 (+.f64 x (+.f64 x 1)) x)))
1
(/.f64 (+.f64 (.f64 (fma.f64 x x -1) 0) (.f64 (+.f64 x -1) 0)) (*.f64 (+.f64 x -1) 0))
1
(/.f64 (+.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x 0)) (.f64 (+.f64 x -1) (.f64 2 (pow.f64 x 3)))) (.f64 (+.f64 x -1) (fma.f64 x x 0)))
1
(/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x (-.f64 1 x)) 0)) (*.f64 (fma.f64 x x (-.f64 1 x)) 0))
1
(/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x 0)) (.f64 (fma.f64 x x (-.f64 1 x)) (.f64 2 (pow.f64 x 3)))) (.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x 0)))
1
(/.f64 (+.f64 (.f64 0 (+.f64 x -1)) (.f64 0 (fma.f64 x x -1))) (*.f64 0 (+.f64 x -1)))
1
(/.f64 (+.f64 (.f64 0 (fma.f64 x x (-.f64 1 x))) (.f64 0 (+.f64 1 (pow.f64 x 3)))) (*.f64 0 (fma.f64 x x (-.f64 1 x))))
1
(/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x -1)) (.f64 (fma.f64 x x 0) (fma.f64 x x -1))) (.f64 (fma.f64 x x 0) (+.f64 x -1)))
1
(/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (.f64 (fma.f64 x x 0) (+.f64 1 (pow.f64 x 3)))) (.f64 (fma.f64 x x 0) (fma.f64 x x (-.f64 1 x))))
1
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)) 1) (-.f64 1 x))
1
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
1
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 x 1) x) (-.f64 1 x)) (.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))
1
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x 1) x) (-.f64 1 x)) (+.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 1)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x x)))
1
(/.f64 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (*.f64 (+.f64 x 1) (+.f64 x x))))))
1
(/.f64 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(/.f64 (/.f64 (+.f64 (+.f64 x x) (pow.f64 (+.f64 x 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 x (.f64 (+.f64 x 1) (+.f64 x x)))))))
1
(/.f64 (/.f64 (+.f64 (.f64 (fma.f64 x x -1) 0) (.f64 (+.f64 x -1) 0)) (+.f64 x -1)) 0)
1
(/.f64 (/.f64 (+.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x 0)) (.f64 (+.f64 x -1) (*.f64 2 (pow.f64 x 3)))) (+.f64 x -1)) (fma.f64 x x 0))
1
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x (-.f64 1 x)) 0)) (fma.f64 x x (-.f64 1 x))) 0)
1
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x 0)) (.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x))) (fma.f64 x x 0))
1
(/.f64 (/.f64 (+.f64 (.f64 0 (+.f64 x -1)) (.f64 0 (fma.f64 x x -1))) 0) (+.f64 x -1))
1
(/.f64 (/.f64 (+.f64 (.f64 0 (fma.f64 x x (-.f64 1 x))) (.f64 0 (+.f64 1 (pow.f64 x 3)))) 0) (fma.f64 x x (-.f64 1 x)))
1
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x -1)) (*.f64 (fma.f64 x x 0) (fma.f64 x x -1))) (fma.f64 x x 0)) (+.f64 x -1))
1
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (*.f64 (fma.f64 x x 0) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x 0)) (fma.f64 x x (-.f64 1 x)))
1
(pow.f64 (fma.f64 2 x (+.f64 x 1)) 1)
1
(pow.f64 (sqrt.f64 (fma.f64 2 x (+.f64 x 1))) 2)
1
(pow.f64 (cbrt.f64 (fma.f64 2 x (+.f64 x 1))) 3)
1
(pow.f64 (pow.f64 (fma.f64 2 x (+.f64 x 1)) 3) 1/3)
1
(sqrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x 1)) 2))
1
(log.f64 (exp.f64 (fma.f64 2 x (+.f64 x 1))))
1
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (+.f64 x 1)))))
1
(cbrt.f64 (pow.f64 (fma.f64 2 x (+.f64 x 1)) 3))
1
(expm1.f64 (log1p.f64 (fma.f64 2 x (+.f64 x 1))))
1
(exp.f64 (log.f64 (fma.f64 2 x (+.f64 x 1))))
1
(exp.f64 (*.f64 (log.f64 (fma.f64 2 x (+.f64 x 1))) 1))
1
(log1p.f64 (expm1.f64 (fma.f64 2 x (+.f64 x 1))))
1
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (+.f64 x 1)))
1
(fma.f64 1 x (+.f64 x (+.f64 x 1)))
1
(fma.f64 1 (+.f64 x 1) (+.f64 x x))
1
(fma.f64 1 (+.f64 x x) (+.f64 x 1))
1
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x 1))
1
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x x))
1
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (+.f64 x 1)))
1
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x x))
1
(fma.f64 2 x (+.f64 x 1))
1

eval627.0ms (7.7%)

Compiler: Compiled 8012 to 5955 computations (25.7% saved)

prune121.0ms (1.5%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	422	5	427
Fresh	0	3	3
Picked	1	0	1
Done	0	8	8
Total	423	16	439

Error

Counts

439 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.5b	(/.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)))))
	31.5b	(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1/2))))
	43.6b	(/.f64 (+.f64 1 (+.f64 x (-.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
	32.2b	(/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x x))))
	32.2b	(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 3 x) 1))
	32.2b	(/.f64 (.f64 3/2 (sqrt.f64 x)) (.f64 3 x))
	32.1b	(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 x 1) (+.f64 x x)))
✓	0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	30.2b	(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
✓	28.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	46.3b	(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x x))) (+.f64 x 1))
✓	32.0b	(*.f64 1/2 (pow.f64 x -1/2))
✓	58.9b	(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
✓	58.9b	(*.f64 1/2 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)))
✓	32.0b	(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
	29.9b	1

Compiler

Compiled 213 to 164 computations (23% saved)

regimes46.0ms (0.6%)

Counts

23 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (.f64 3 x))
(*.f64 1/2 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 3 x) 1))
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 x 1) (+.f64 x x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x x))))
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x x))) (+.f64 x 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1/2))))
(/.f64 (+.f64 1 (+.f64 x (-.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))) (+.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 (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 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))

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

Calls

2 calls:

22.0ms	x
7.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 317 to 221 computations (30.3% saved)

regimes44.0ms (0.5%)

Counts

13 → 2

Calls

Call 1

Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (.f64 3 x))
(*.f64 1/2 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 3 x) 1))
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 x 1) (+.f64 x x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x x))))
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x x))) (+.f64 x 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

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

Calls

2 calls:

28.0ms	x
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
0.4b	2	`x`
0.4b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 143 to 99 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4731951270950958e-5	9.055628015630646e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (.f64 3 x))
(*.f64 1/2 (+.f64 1 (-.f64 (pow.f64 x -1/2) 1)))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 (.f64 3/2 (sqrt.f64 x)) (+.f64 (.f64 3 x) 1))
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 x 1) (+.f64 x x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 x 1) (+.f64 x x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x x))))
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 2/3) (-.f64 (.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (*.f64 x x))) (+.f64 x 1))

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
2.4b	2	`x`

Compiler

Compiled 128 to 89 computations (30.5% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	0.07528590857575004	24.65053372520299

Results

23.0ms

128×

body

256

valid

Compiler

Compiled 140 to 121 computations (13.6% saved)

regimes29.0ms (0.4%)

Accuracy

Total -57.1b remaining (-2394.2%)

Threshold costs -57.1b (-2394.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
2.4b	2	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.07528590857575004	24.65053372520299

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 92 to 81 computations (12% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	155
1	42	155
2	46	155
3	48	155
4	49	155

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)) 5902958103587057/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 x 8106479329266893/4503599627370496) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -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)) 5902958103587057/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 5902958103587057/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 x 8106479329266893/4503599627370496) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1

Compiler

Compiled 63 to 50 computations (20.6% saved)

soundness178.0ms (2.2%)

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

Compiler

Compiled 114 to 76 computations (33.3% saved)

end77.0ms (0.9%)

Compiler: Compiled 59 to 45 computations (23.7% 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

analyze6.0ms (0.1%)

sample2.1s (25.6%)

preprocess20.0ms (0.2%)

simplify37.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.2%)

series6.0ms (0.1%)

rewrite127.0ms (1.6%)

simplify100.0ms (1.2%)

eval14.0ms (0.2%)

prune23.0ms (0.3%)

localize12.0ms (0.1%)

series6.0ms (0.1%)

rewrite130.0ms (1.6%)

simplify177.0ms (2.2%)

localize80.0ms (1%)

series13.0ms (0.2%)

rewrite126.0ms (1.5%)

simplify268.0ms (3.3%)

eval483.0ms (5.9%)

prune197.0ms (2.4%)

localize22.0ms (0.3%)

series13.0ms (0.2%)

rewrite80.0ms (1%)

simplify90.0ms (1.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.6%)

simplify51.0ms (0.6%)

localize25.0ms (0.3%)

series8.0ms (0.1%)

rewrite107.0ms (1.3%)

simplify108.0ms (1.3%)

localize39.0ms (0.5%)

series7.0ms (0.1%)

rewrite176.0ms (2.2%)

simplify287.0ms (3.5%)

localize66.0ms (0.8%)

series9.0ms (0.1%)

rewrite126.0ms (1.5%)

simplify91.0ms (1.1%)

eval587.0ms (7.2%)

prune337.0ms (4.1%)

localize14.0ms (0.2%)

series63.0ms (0.8%)

rewrite63.0ms (0.8%)

simplify54.0ms (0.7%)

localize9.0ms (0.1%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (0.7%)

simplify71.0ms (0.9%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite68.0ms (0.8%)

simplify64.0ms (0.8%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite111.0ms (1.4%)

simplify74.0ms (0.9%)

eval627.0ms (7.7%)

prune121.0ms (1.5%)

regimes46.0ms (0.6%)

regimes44.0ms (0.5%)

bsearch0.0ms (0%)

regimes31.0ms (0.4%)

bsearch26.0ms (0.3%)

regimes29.0ms (0.4%)

bsearch21.0ms (0.3%)

simplify22.0ms (0.3%)

soundness178.0ms (2.2%)

end77.0ms (0.9%)

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