Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.1s (16.3%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess13.0ms (0.2%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f32 x)

Outputs
(asinh.f32 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary32`
1×	`1-exp_binary32`
1×	`hypot-1-def_binary32`
1×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	15	14
2	16	14

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x 1)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)

eval1.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

12.1b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
▶	20.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize48.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))
✓	7.2b	(sqrt.f32 (+.f32 (*.f32 x x) 1))
✓	12.1b	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))

Compiler

Compiled 50 to 24 computations (52% saved)

series29.0ms (0.4%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))
2.0ms	x	@	0	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))
1.0ms	x	@	inf	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))
1.0ms	x	@	-inf	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))
0.0ms	x	@	inf	(sqrt.f32 (+.f32 (*.f32 x x) 1))

Compiler

Compiled 3010 to 2240 computations (25.6% saved)

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary32`
825×	`add-log-exp_binary32`
825×	`log1p-expm1-u_binary32`
825×	`expm1-log1p-u_binary32`
806×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	192	20
2	2654	20

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))
(sqrt.f32 (+.f32 (*.f32 x x) 1))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (hypot.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 x x) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 1) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 x x) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (fma.f32 x x 1) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 1 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 1) (-.f32 (*.f32 x x) (*.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (fma.f32 x x 1) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg_binary32`
565×	`fma-def_binary32`
550×	`unswap-sqr_binary32`
324×	`hypot-def_binary32`
234×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1132
1	372	987
2	1392	790
3	7013	790

Stop Event

1×	node limit

Counts

79 → 95

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (hypot.f32 1 x)) 1)
(*.f32 1 (hypot.f32 1 x))
(*.f32 (hypot.f32 1 x) 1)
(*.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)))
(*.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(*.f32 (pow.f32 1 1/2) (hypot.f32 1 x))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 1/2))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1)))
(/.f32 (sqrt.f32 (+.f32 1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 x x)))))
(pow.f32 (fma.f32 x x 1) 1/2)
(pow.f32 (hypot.f32 1 x) 1)
(pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)
(pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)
(pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)
(fabs.f32 (hypot.f32 1 x))
(log.f32 (exp.f32 (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))
(hypot.f32 1 x)
(expm1.f32 (log1p.f32 (hypot.f32 1 x)))
(log1p.f32 (expm1.f32 (hypot.f32 1 x)))
(exp.f32 (log.f32 (hypot.f32 1 x)))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (fma.f32 x x 1))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 1) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (fma.f32 x x 1) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(*.f32 1 (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(*.f32 (hypot.f32 1 x) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(*.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)))
(*.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x 1))) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(*.f32 (cbrt.f32 (fma.f32 x x 1)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(*.f32 (pow.f32 1 1/2) (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x 1))) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(*.f32 (cbrt.f32 (fma.f32 x x 1)) (sqrt.f32 (cbrt.f32 (fma.f32 x x 1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1)))
(/.f32 (sqrt.f32 (+.f32 1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 x x)))))
(/.f32 (hypot.f32 1 (pow.f32 x 3)) (sqrt.f32 (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 x x)))))
(/.f32 (hypot.f32 1 (pow.f32 x 3)) (sqrt.f32 (+.f32 1 (fma.f32 x (neg.f32 x) (pow.f32 x 4)))))
(pow.f32 (fma.f32 x x 1) 1/2)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(pow.f32 (hypot.f32 1 x) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(fabs.f32 (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(log.f32 (exp.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(hypot.f32 1 x)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(expm1.f32 (log1p.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(log1p.f32 (expm1.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(exp.f32 (log.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 (hypot.f32 1 x) 0)
(hypot.f32 1 x)
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(.f32 (-.f32 (.f32 x x) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (fma.f32 x x 1))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 1) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 1) (*.f32 x (-.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (fma.f32 x x 1) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

localize36.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (fabs.f32 x) (hypot.f32 1 x))
✓	12.1b	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series18.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
1.0ms	x	@	0	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
0.0ms	x	@	inf	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
0.0ms	x	@	-inf	(+.f32 (fabs.f32 x) (hypot.f32 1 x))
0.0ms	x	@	0	(+.f32 (fabs.f32 x) (hypot.f32 1 x))

Compiler

Compiled 2310 to 1670 computations (27.7% saved)

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary32`
600×	`add-log-exp_binary32`
600×	`log1p-expm1-u_binary32`
600×	`expm1-log1p-u_binary32`
588×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	142	16
2	1873	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
(+.f32 (fabs.f32 x) (hypot.f32 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (*.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary32`
412×	`unswap-sqr_binary32`
354×	`log-prod_binary32`
346×	`fma-def_binary32`
219×	`div-sub_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	855
1	298	680
2	1017	604
3	4693	604

Stop Event

1×	node limit

Counts

56 → 68

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (-.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (+.f32 x (-.f32 x (hypot.f32 1 x))) 1))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

eval46.0ms (0.7%)

Compiler: Compiled 2442 to 1644 computations (32.7% saved)

prune35.0ms (0.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	145	18	163
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	20	165

Error

11.6b

Counts

165 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	21.2b	(copysign.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3) x)
▶	21.0b	(copysign.f32 (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) x)
	19.6b	(copysign.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
▶	19.4b	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	25.5b	(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))) x)
	19.5b	(copysign.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
▶	19.4b	(copysign.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
	19.6b	(copysign.f32 (*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
	19.4b	(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
	18.5b	(copysign.f32 (log.f32 (fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)) x)
	18.2b	(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)) x)
	19.4b	(copysign.f32 (log.f32 (pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) x)
	25.5b	(copysign.f32 (log.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (-.f32 x (hypot.f32 1 x)))))) x)
	20.4b	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
✓	12.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
✓	20.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
▶	12.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x))))) x)
▶	19.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
	19.0b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))) x)
	28.0b	(copysign.f32 (log.f32 (log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))) x)

Compiler

Compiled 565 to 414 computations (26.7% saved)

localize56.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (hypot.f32 1 x))
✓	0.1b	(+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x))))
✓	1.6b	(expm1.f32 (log1p.f32 (hypot.f32 1 x)))
✓	12.1b	(log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x)))))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series48.0ms (0.7%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f32 (hypot.f32 1 x))
0.0ms	x	@	inf	(log1p.f32 (hypot.f32 1 x))
0.0ms	x	@	0	(log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x)))))
0.0ms	x	@	-inf	(log1p.f32 (hypot.f32 1 x))
0.0ms	x	@	inf	(log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x)))))

Compiler

Compiled 3830 to 2930 computations (23.5% saved)

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`pow1_binary32`
677×	`add-log-exp_binary32`
677×	`expm1-log1p-u_binary32`
676×	`log1p-expm1-u_binary32`
663×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	162	26
2	2084	26

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x)))))
(expm1.f32 (log1p.f32 (hypot.f32 1 x)))
(+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x))))
(log1p.f32 (hypot.f32 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (hypot.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (hypot.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 (hypot.f32 1 x)) 3) 1) (+.f32 (.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (.f32 (+.f32 1 (hypot.f32 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x))) 1) (+.f32 (+.f32 1 (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (.f32 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (+.f32 1 (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 1 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 1 (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 2) (cbrt.f32 (log1p.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (hypot.f32 1 x))) (sqrt.f32 (log1p.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (hypot.f32 1 x))))))))

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-neg_binary32`
288×	`distribute-rgt-in_binary32`
256×	`distribute-lft-in_binary32`
252×	`log-prod_binary32`
219×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1293
1	433	963
2	1859	809
3	7397	809

Stop Event

1×	node limit

Counts

93 → 108

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 1 (hypot.f32 1 x)) -1)
(-.f32 (+.f32 1 (hypot.f32 1 x)) 1)
(*.f32 1 (hypot.f32 1 x))
(*.f32 (hypot.f32 1 x) 1)
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (hypot.f32 1 x)) 3) 1) (+.f32 (.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (.f32 (+.f32 1 (hypot.f32 1 x)) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x))) 1) (+.f32 (+.f32 1 (hypot.f32 1 x)) 1))
(pow.f32 (hypot.f32 1 x) 1)
(pow.f32 (+.f32 1 (*.f32 x x)) 1/2)
(pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)
(pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)
(pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(log.f32 (exp.f32 (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))
(hypot.f32 1 x)
(log1p.f32 (expm1.f32 (hypot.f32 1 x)))
(exp.f32 (log.f32 (hypot.f32 1 x)))
(-.f32 (+.f32 1 (hypot.f32 1 x)) (-.f32 1 x))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(-.f32 (+.f32 x (+.f32 1 (hypot.f32 1 x))) 1)
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(-.f32 (+.f32 1 (log1p.f32 (hypot.f32 1 x))) 1)
(*.f32 1 (log1p.f32 (hypot.f32 1 x)))
(*.f32 (log1p.f32 (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 2) (cbrt.f32 (log1p.f32 (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (log1p.f32 (hypot.f32 1 x))) (sqrt.f32 (log1p.f32 (hypot.f32 1 x))))
(pow.f32 (log1p.f32 (hypot.f32 1 x)) 1)
(pow.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (hypot.f32 1 x))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 2))
(log.f32 (+.f32 1 (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (hypot.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (hypot.f32 1 x))))

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (+.f32 1 (hypot.f32 1 x)) -1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(-.f32 (+.f32 1 (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(*.f32 1 (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(*.f32 (hypot.f32 1 x) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(*.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(*.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(/.f32 (-.f32 (pow.f32 (+.f32 1 (hypot.f32 1 x)) 3) 1) (+.f32 (.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (.f32 (+.f32 1 (hypot.f32 1 x)) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (hypot.f32 1 x)) 3) -1) (fma.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (+.f32 1 (hypot.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (hypot.f32 1 x)) 3)) (fma.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x)) (+.f32 (hypot.f32 1 x) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (hypot.f32 1 x)) 3)) (+.f32 1 (*.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 (hypot.f32 1 x) 2))))
(/.f32 (-.f32 (*.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 1 (hypot.f32 1 x))) 1) (+.f32 (+.f32 1 (hypot.f32 1 x)) 1))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(pow.f32 (hypot.f32 1 x) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(pow.f32 (+.f32 1 (*.f32 x x)) 1/2)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(pow.f32 (sqrt.f32 (hypot.f32 1 x)) 2)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(pow.f32 (pow.f32 (hypot.f32 1 x) 3) 1/3)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(log.f32 (exp.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(hypot.f32 1 x)
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(exp.f32 (log.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) 1))
(+.f32 0 (hypot.f32 1 x))
(hypot.f32 1 x)
(-.f32 (+.f32 1 (hypot.f32 1 x)) (-.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(-.f32 (+.f32 x (+.f32 1 (hypot.f32 1 x))) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (-.f32 (hypot.f32 1 x) (-.f32 1 x)))
(+.f32 x (+.f32 0 (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(-.f32 (+.f32 1 (log1p.f32 (hypot.f32 1 x))) 1)
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(*.f32 1 (log1p.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(*.f32 (log1p.f32 (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(*.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 2))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 2) (cbrt.f32 (log1p.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(*.f32 (sqrt.f32 (log1p.f32 (hypot.f32 1 x))) (sqrt.f32 (log1p.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(pow.f32 (log1p.f32 (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(pow.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (log1p.f32 (hypot.f32 1 x))) 3)
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (log1p.f32 (hypot.f32 1 x))) 2)
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 2))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(log.f32 (+.f32 1 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (log1p.f32 (hypot.f32 1 x)) 3))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (log1p.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))
(exp.f32 (log.f32 (log1p.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (log1p.f32 (hypot.f32 1 x)) 1))
(log1p.f32 (hypot.f32 1 x))

localize32.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.6b	(+.f32 x (hypot.f32 1 x))
✓	11.9b	(log.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series20.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f32 (+.f32 x (hypot.f32 1 x)))
1.0ms	x	@	-inf	(log.f32 (+.f32 x (hypot.f32 1 x)))
1.0ms	x	@	0	(+.f32 x (hypot.f32 1 x))
1.0ms	x	@	inf	(log.f32 (+.f32 x (hypot.f32 1 x)))
0.0ms	x	@	-inf	(+.f32 x (hypot.f32 1 x))

Compiler

Compiled 1750 to 1470 computations (16% saved)

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`pow1_binary32`
575×	`add-log-exp_binary32`
575×	`log1p-expm1-u_binary32`
575×	`expm1-log1p-u_binary32`
563×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	121	16
2	1559	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (*.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary32`
412×	`unswap-sqr_binary32`
354×	`log-prod_binary32`
346×	`fma-def_binary32`
219×	`div-sub_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	855
1	298	680
2	1017	604
3	4693	604

Stop Event

1×	node limit

Counts

56 → 68

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (-.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (+.f32 x (-.f32 x (hypot.f32 1 x))) 1))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 (+.f32 1 x) (hypot.f32 1 x)) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

localize49.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
	3.6b	(+.f32 x (hypot.f32 1 x))
✓	11.8b	(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
	11.9b	(log.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series20.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	-inf	(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	0	(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
0.0ms	x	@	inf	(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
0.0ms	x	@	-inf	(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)

Compiler

Compiled 2030 to 1750 computations (13.8% saved)

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary32`
897×	`add-log-exp_binary32`
897×	`log1p-expm1-u_binary32`
897×	`expm1-log1p-u_binary32`
97×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	183	21
2	2685	21

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)) (neg.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (-.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (/.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (*.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (/.f32 1 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))) (neg.f32 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (neg.f32 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) 1) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

811×	`times-frac_binary32`
458×	`cancel-sign-sub-inv_binary32`
422×	`associate-+l+_binary32`
327×	`associate--r+_binary32`
300×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1558
1	365	1489
2	1539	1483

Stop Event

1×	node limit

Counts

76 → 90

Calls

Call 1

Inputs
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)) (neg.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (-.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(-.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1)
(-.f32 (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (/.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (/.f32 1 (+.f32 1 (.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))
(*.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 1 (/.f32 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))
(/.f32 1 (/.f32 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))) (neg.f32 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (neg.f32 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1) (+.f32 1 (.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (*.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) 1) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(pow.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)))
(log.f32 (+.f32 1 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) 1)))
(cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(log1p.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) 1))
(exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(fma.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(fma.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)

Outputs
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 1 (/.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)) (neg.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (-.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -2))))
(/.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (-.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(/.f32 (+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (-.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 0 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -2))) (-.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(-.f32 (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (/.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (/.f32 1 (+.f32 1 (.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(*.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(/.f32 1 (/.f32 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))) (neg.f32 (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (neg.f32 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1) (+.f32 1 (.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (+.f32 1 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(/.f32 (*.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) 1) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(sqrt.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) 1)))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(log1p.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) 1))
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(fma.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))

localize53.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
✓	0.2b	(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
	3.6b	(+.f32 x (hypot.f32 1 x))
	11.9b	(log.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 45 to 32 computations (28.9% saved)

series59.0ms (0.9%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
1.0ms	x	@	-inf	(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
1.0ms	x	@	0	(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
1.0ms	x	@	inf	(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
1.0ms	x	@	-inf	(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

Compiler

Compiled 5320 to 4645 computations (12.7% saved)

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary32`
703×	`add-log-exp_binary32`
702×	`log1p-expm1-u_binary32`
702×	`expm1-log1p-u_binary32`
687×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	186	20
2	1990	20

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (*.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4)) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-def_binary32`
581×	`distribute-rgt-in_binary32`
515×	`distribute-lft-in_binary32`
401×	`fma-neg_binary32`
370×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	599
1	200	524
2	642	454
3	2714	454
4	7800	454

Stop Event

1×	node limit

Counts

41 → 54

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4)) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4))
(.f32 (.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(*.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/2))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) 2)
(fabs.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(.f32 (.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4)) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(.f32 (.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))
(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(log1p.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/2))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3/2) 1/3)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/4) 2)
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fabs.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3/2))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

localize53.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
	3.6b	(+.f32 x (hypot.f32 1 x))
✓	11.8b	(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))

Compiler

Compiled 56 to 39 computations (30.4% saved)

series40.0ms (0.6%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
1.0ms	x	@	-inf	(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
1.0ms	x	@	0	(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	-inf	(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
0.0ms	x	@	inf	(sqrt.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 3230 to 2515 computations (22.1% saved)

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`pow1_binary32`
645×	`add-log-exp_binary32`
645×	`log1p-expm1-u_binary32`
645×	`expm1-log1p-u_binary32`
630×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	141	20
2	1781	20

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4)) (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (*.f32 x x) (pow.f32 (hypot.f32 1 x) 2))) (sqrt.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (sqrt.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 x) (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))))

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

440×	`log-prod_binary32`
344×	`fma-neg_binary32`
318×	`associate-l_binary32`
313×	`associate-*l/_binary32`
295×	`associate-*r/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	711
1	212	649
2	633	591
3	3657	571

Stop Event

1×	node limit

Counts

48 → 57

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4)) (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4)))
(-.f32 (+.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2)
(*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 1/2 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log1p.f32 (-.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(exp.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(-.f32 (+.f32 1 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 1 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1/2))
(/.f32 (sqrt.f32 (-.f32 (*.f32 x x) (pow.f32 (hypot.f32 1 x) 2))) (sqrt.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (sqrt.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1/2)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(fabs.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2))
(hypot.f32 (sqrt.f32 x) (sqrt.f32 (hypot.f32 1 x)))
(hypot.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))

Outputs
(+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4)) (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4)))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(-.f32 (+.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1/2 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(sqrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (-.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (-.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 1 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3/2)
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3/2)
(/.f32 (sqrt.f32 (-.f32 (*.f32 x x) (pow.f32 (hypot.f32 1 x) 2))) (sqrt.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (sqrt.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (hypot.f32 (pow.f32 (hypot.f32 1 x) 3/2) (pow.f32 x 3/2)) (sqrt.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (hypot.f32 (pow.f32 (hypot.f32 1 x) 3/2) (pow.f32 x 3/2)) (sqrt.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1/2)
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2) 1/3)
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/4) 2)
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(fabs.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3/2))
(hypot.f32 (sqrt.f32 x) (sqrt.f32 (hypot.f32 1 x)))
(hypot.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 0)
(sqrt.f32 (+.f32 x (hypot.f32 1 x)))

eval266.0ms (3.9%)

Compiler: Compiled 12679 to 9193 computations (27.5% saved)

prune128.0ms (1.9%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	649	11	660
Fresh	10	3	13
Picked	1	0	1
Done	1	5	6
Total	661	19	680

Error

0.4b

Counts

680 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	19.7b	(copysign.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1) x)
	21.0b	(copysign.f32 (pow.f32 (sqrt.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)) 2) x)
	19.5b	(copysign.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) 2) x)
	20.4b	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))) 1) x)
✓	19.4b	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	19.4b	(copysign.f32 (+.f32 (-.f32 (+.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 1) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
	19.4b	(copysign.f32 (+.f32 (+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
	19.4b	(copysign.f32 (+.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
▶	20.3b	(copysign.f32 (*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)) x)
▶	19.4b	(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) x)
	19.5b	(copysign.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
▶	7.4b	(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)
	18.5b	(copysign.f32 (log.f32 (fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)) x)
▶	18.2b	(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)) x)
▶	20.4b	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
✓	12.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
✓	20.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
✓	12.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x))))) x)
✓	19.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Compiler

Compiled 539 to 411 computations (23.7% saved)

localize55.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.9b	(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
✓	5.2b	(+.f32 (hypot.f32 1 x) -1)
✓	6.1b	(+.f32 x (+.f32 (hypot.f32 1 x) -1))

Compiler

Compiled 37 to 27 computations (27% saved)

series37.0ms (0.6%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
0.0ms	x	@	-inf	(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
0.0ms	x	@	inf	(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
0.0ms	x	@	0	(+.f32 (hypot.f32 1 x) -1)
0.0ms	x	@	0	(+.f32 x (+.f32 (hypot.f32 1 x) -1))

Compiler

Compiled 2255 to 1870 computations (17.1% saved)

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary32`
866×	`add-log-exp_binary32`
865×	`expm1-log1p-u_binary32`
864×	`log1p-expm1-u_binary32`
850×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	169	29
2	2254	29

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) -1)
(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 (-.f32 x (hypot.f32 1 x)) -1)) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (-.f32 x (hypot.f32 1 x)) -1) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (*.f32 x x) (*.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x (hypot.f32 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) -1) (+.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) (-.f32 1 (*.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) 1) (-.f32 (+.f32 x (hypot.f32 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 (hypot.f32 1 x) 1)) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (hypot.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1))) (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 1) (+.f32 (+.f32 1 (*.f32 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (+.f32 (hypot.f32 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1)) (neg.f32 (+.f32 (hypot.f32 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (+.f32 1 (*.f32 x x))) (-.f32 -1 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))))))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-def_binary32`
527×	`distribute-rgt-in_binary32`
483×	`distribute-lft-in_binary32`
478×	`unswap-sqr_binary32`
357×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	1651
1	464	1377
2	1807	1140

Stop Event

1×	node limit

Counts

81 → 108

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)
(-.f32 (/.f32 (*.f32 x x) (-.f32 (-.f32 x (hypot.f32 1 x)) -1)) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))
(/.f32 1 (/.f32 (-.f32 (-.f32 x (hypot.f32 1 x)) -1) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x (hypot.f32 1 x)) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) -1) (+.f32 (.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) (-.f32 1 (.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))
(/.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) 1) (-.f32 (+.f32 x (hypot.f32 1 x)) -1))
(pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))
(log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(-.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) 1)
(-.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 (hypot.f32 1 x) 1)) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(*.f32 1 (+.f32 (hypot.f32 1 x) -1))
(*.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(.f32 (+.f32 (+.f32 1 (.f32 x x)) -1) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))) (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 1) (+.f32 (+.f32 1 (*.f32 x x)) -1)))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (hypot.f32 1 x) -1))))
(/.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (+.f32 (hypot.f32 1 x) 1))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1)))))
(/.f32 (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1)) (neg.f32 (+.f32 (hypot.f32 1 x) 1)))
(/.f32 (-.f32 1 (+.f32 1 (*.f32 x x))) (-.f32 -1 (hypot.f32 1 x)))
(pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))
(expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))
(fma.f32 1 (hypot.f32 1 x) -1)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)
(-.f32 (+.f32 1 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 1)
(*.f32 1 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(*.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(*.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)
(pow.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(log.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(exp.f32 (log.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))

Outputs
(-.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (-.f32 x (hypot.f32 1 x)) -1)) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)) (*.f32 x x)))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)) (*.f32 x x)))
(/.f32 1 (/.f32 (-.f32 (-.f32 x (hypot.f32 1 x)) -1) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)) (*.f32 x x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x (hypot.f32 1 x)) -1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (-.f32 (-.f32 x (hypot.f32 1 x)) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) -1) (+.f32 (.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) (-.f32 1 (.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) (fma.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x)) (-.f32 1 (*.f32 -1 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) (-.f32 (fma.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x)) 1) (neg.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) (+.f32 1 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 1 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) 1) (-.f32 (+.f32 x (hypot.f32 1 x)) -1))
(/.f32 (fma.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x)) -1) (+.f32 (+.f32 x (hypot.f32 1 x)) 1))
(/.f32 (fma.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x)) -1) (+.f32 1 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(expm1.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(+.f32 1 (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1))
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(-.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) 1)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(-.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 (hypot.f32 1 x) 1)) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(-.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (hypot.f32 1 x))))
(+.f32 (/.f32 (fma.f32 x x 1) (+.f32 1 (hypot.f32 1 x))) (/.f32 -1 (+.f32 1 (hypot.f32 1 x))))
(*.f32 1 (+.f32 (hypot.f32 1 x) -1))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 2) (hypot.f32 1 x)))
(.f32 (+.f32 (+.f32 1 (.f32 x x)) -1) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 (*.f32 x x) 0) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))) (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 2) (hypot.f32 1 x)))
(/.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 1) (+.f32 (+.f32 1 (*.f32 x x)) -1)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 (*.f32 x x) 0) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 2) (hypot.f32 1 x)))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 2) (hypot.f32 1 x)))
(/.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (+.f32 (hypot.f32 1 x) 1))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 (*.f32 x x) 0) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1)))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (fma.f32 x x 2) (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1)) (neg.f32 (+.f32 (hypot.f32 1 x) 1)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 (*.f32 x x) 0) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (-.f32 1 (+.f32 1 (*.f32 x x))) (-.f32 -1 (hypot.f32 1 x)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 (*.f32 x x) 0) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(fma.f32 1 (hypot.f32 1 x) -1)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)
(+.f32 (+.f32 1 (+.f32 (hypot.f32 1 x) -1)) -1)
(+.f32 1 (+.f32 (hypot.f32 1 x) -2))
(+.f32 (hypot.f32 1 x) -1)
(-.f32 (+.f32 1 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 1 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1)
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 3)
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))) 2)
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 1))
(+.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) 0))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))

localize72.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 1 (-.f32 (hypot.f32 1 x) x))
✓	3.5b	(-.f32 (hypot.f32 1 x) x)
✓	11.8b	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series26.0ms (0.4%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
0.0ms	x	@	inf	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
0.0ms	x	@	-inf	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
0.0ms	x	@	inf	(-.f32 (hypot.f32 1 x) x)
0.0ms	x	@	-inf	(-.f32 (hypot.f32 1 x) x)

Compiler

Compiled 2520 to 2110 computations (16.3% saved)

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary32`
707×	`add-log-exp_binary32`
707×	`log1p-expm1-u_binary32`
707×	`expm1-log1p-u_binary32`
692×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	150	28
2	1950	28

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) (*.f32 (neg.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (hypot.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (sqrt.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (/.f32 1 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 x (hypot.f32 1 x)) (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (hypot.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))) (neg.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 (neg.f32 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 (*.f32 (neg.f32 x) (neg.f32 x)) (*.f32 (hypot.f32 1 x) (neg.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 (neg.f32 x) (neg.f32 x))) (-.f32 (hypot.f32 1 x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (hypot.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (neg.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1) (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))) (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (hypot.f32 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))))

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-def_binary32`
560×	`associate-/l*_binary32`
437×	`associate-/r*_binary32`
259×	`distribute-rgt-in_binary32`
245×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1326
1	510	1117
2	1982	1045

Stop Event

1×	node limit

Counts

91 → 111

Calls

Call 1

Inputs
(+.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(-.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))
(/.f32 (-.f32 0 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
(exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (hypot.f32 1 x) (neg.f32 x))
(+.f32 (hypot.f32 1 x) (*.f32 (neg.f32 x) 1))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))
(+.f32 (neg.f32 x) (hypot.f32 1 x))
(*.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (-.f32 (hypot.f32 1 x) x) 1)
(*.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (sqrt.f32 (-.f32 (hypot.f32 1 x) x)))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))
(.f32 (-.f32 (+.f32 1 (.f32 x x)) (*.f32 x x)) (/.f32 1 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))
(/.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x)))) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (+.f32 x (hypot.f32 1 x)) (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))))
(/.f32 (-.f32 (hypot.f32 1 x) x) 1)
(/.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))
(/.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (+.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x))))))
(/.f32 (neg.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))) (neg.f32 (+.f32 x (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 (neg.f32 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 (neg.f32 x) (neg.f32 x)) (*.f32 (hypot.f32 1 x) (neg.f32 x)))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (neg.f32 x) (neg.f32 x))) (-.f32 (hypot.f32 1 x) (neg.f32 x)))
(pow.f32 (-.f32 (hypot.f32 1 x) x) 1)
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3) 1/3)
(pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 3)
(pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))
(log.f32 (exp.f32 (-.f32 (hypot.f32 1 x) x)))
(cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3))
(expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x)))
(log1p.f32 (expm1.f32 (-.f32 (hypot.f32 1 x) x)))
(exp.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(fma.f32 1 (hypot.f32 1 x) (neg.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(+.f32 1 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
(-.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) 1)
(*.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))
(*.f32 -1 (/.f32 1 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1) (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(.f32 (/.f32 1 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (+.f32 (+.f32 1 (.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))
(.f32 (/.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (*.f32 x x))) (+.f32 x (hypot.f32 1 x)))
(pow.f32 (-.f32 (hypot.f32 1 x) x) -1)
(pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(pow.f32 (E.f32) (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(pow.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))
(log.f32 (exp.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(exp.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))

Outputs
(+.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(-.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (-.f32 0 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (neg.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (hypot.f32 1 x) (neg.f32 x))
(-.f32 (hypot.f32 1 x) x)
(+.f32 (hypot.f32 1 x) (*.f32 (neg.f32 x) 1))
(-.f32 (hypot.f32 1 x) x)
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))
(-.f32 (hypot.f32 1 x) x)
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(-.f32 (hypot.f32 1 x) x)
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))
(-.f32 (hypot.f32 1 x) x)
(+.f32 (neg.f32 x) (hypot.f32 1 x))
(-.f32 (hypot.f32 1 x) x)
(*.f32 1 (-.f32 (hypot.f32 1 x) x))
(-.f32 (hypot.f32 1 x) x)
(*.f32 (-.f32 (hypot.f32 1 x) x) 1)
(-.f32 (hypot.f32 1 x) x)
(*.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(-.f32 (hypot.f32 1 x) x)
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(*.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (sqrt.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 1 (+.f32 (.f32 x x) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))) 1))
(.f32 (-.f32 (+.f32 1 (.f32 x x)) (*.f32 x x)) (/.f32 1 (+.f32 x (hypot.f32 1 x))))
(/.f32 (.f32 (+.f32 1 (-.f32 (.f32 x x) (*.f32 x x))) 1) (+.f32 x (hypot.f32 1 x)))
(/.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))
(*.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (hypot.f32 1 x))) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))
(/.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x)))) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 1 (+.f32 (.f32 x x) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))) 1))
(/.f32 1 (/.f32 (+.f32 x (hypot.f32 1 x)) (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))))
(/.f32 (.f32 (+.f32 1 (-.f32 (.f32 x x) (*.f32 x x))) 1) (+.f32 x (hypot.f32 1 x)))
(/.f32 1 (+.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (hypot.f32 1 x) x) 1)
(-.f32 (hypot.f32 1 x) x)
(/.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(-.f32 (hypot.f32 1 x) x)
(/.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))
(/.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(-.f32 (hypot.f32 1 x) x)
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x)))))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 1 (+.f32 (.f32 x x) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))) 1))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (+.f32 x (hypot.f32 1 x)))
(/.f32 (.f32 (+.f32 1 (-.f32 (.f32 x x) (*.f32 x x))) 1) (+.f32 x (hypot.f32 1 x)))
(/.f32 1 (+.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x))))))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 1 (+.f32 (.f32 x x) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))) 1))
(/.f32 (neg.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))) (neg.f32 (+.f32 x (hypot.f32 1 x))))
(/.f32 (.f32 (+.f32 1 (-.f32 (.f32 x x) (*.f32 x x))) 1) (+.f32 x (hypot.f32 1 x)))
(/.f32 1 (+.f32 x (hypot.f32 1 x)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 (neg.f32 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 (neg.f32 x) (neg.f32 x)) (*.f32 (hypot.f32 1 x) (neg.f32 x)))))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 1 (+.f32 (.f32 x x) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))) 1))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (neg.f32 x) (neg.f32 x))) (-.f32 (hypot.f32 1 x) (neg.f32 x)))
(/.f32 (.f32 (+.f32 1 (-.f32 (.f32 x x) (*.f32 x x))) 1) (+.f32 x (hypot.f32 1 x)))
(/.f32 1 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (-.f32 (hypot.f32 1 x) x) 1)
(-.f32 (hypot.f32 1 x) x)
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3) 1/3)
(-.f32 (hypot.f32 1 x) x)
(pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 3)
(-.f32 (hypot.f32 1 x) x)
(pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)
(-.f32 (hypot.f32 1 x) x)
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))
(-.f32 (hypot.f32 1 x) x)
(log.f32 (exp.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3))
(-.f32 (hypot.f32 1 x) x)
(expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(log1p.f32 (expm1.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(exp.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(fma.f32 1 (hypot.f32 1 x) (neg.f32 x))
(-.f32 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(-.f32 (hypot.f32 1 x) x)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(-.f32 (hypot.f32 1 x) x)
(+.f32 1 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(-.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) 1)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 -1 (/.f32 1 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1) (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(.f32 (/.f32 1 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (+.f32 (+.f32 1 (.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))
(.f32 (+.f32 1 (+.f32 (.f32 x x) (*.f32 x (+.f32 x (hypot.f32 1 x))))) (/.f32 1 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 (fma.f32 x (+.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))
(/.f32 (fma.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))) 1) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))
(.f32 (/.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (*.f32 x x))) (+.f32 x (hypot.f32 1 x)))
(.f32 (+.f32 x (hypot.f32 1 x)) (/.f32 1 (+.f32 1 (-.f32 (.f32 x x) (*.f32 x x)))))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (-.f32 (hypot.f32 1 x) x) -1)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (E.f32) (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 2)
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(log.f32 (exp.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(exp.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 0)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))

localize57.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (+.f32 x (hypot.f32 1 x)))
	3.6b	(+.f32 x (hypot.f32 1 x))
	11.8b	(log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize46.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f32 (hypot.f32 1 x))
✓	7.2b	(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
✓	11.9b	(log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x))

Compiler

Compiled 44 to 31 computations (29.5% saved)

series51.0ms (0.7%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x))
2.0ms	x	@	inf	(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
1.0ms	x	@	-inf	(log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x))
1.0ms	x	@	inf	(log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x))
0.0ms	x	@	-inf	(sqrt.f32 (hypot.f32 1 x))

Compiler

Compiled 3740 to 2985 computations (20.2% saved)

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`pow1_binary32`
515×	`add-sqr-sqrt_binary32`
495×	`add-log-exp_binary32`
495×	`log1p-expm1-u_binary32`
495×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	130	22
2	1400	22

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(sqrt.f32 (hypot.f32 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) (cbrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 1 x) 1/4) (pow.f32 (hypot.f32 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2)) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) 1/2) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (*.f32 x x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (hypot.f32 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (hypot.f32 1 x))))))))

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

420×	`log-prod_binary32`
376×	`unswap-sqr_binary32`
354×	`fma-neg_binary32`
336×	`fma-def_binary32`
255×	`exp-prod_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	774
1	278	642
2	966	529
3	4263	515

Stop Event

1×	node limit

Counts

63 → 78

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(+.f32 x (hypot.f32 1 x))
(+.f32 (hypot.f32 1 x) x)
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 (hypot.f32 1 x) x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(-.f32 (+.f32 1 (sqrt.f32 (hypot.f32 1 x))) 1)
(*.f32 1 (sqrt.f32 (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))))
(*.f32 (pow.f32 (hypot.f32 1 x) 1/4) (pow.f32 (hypot.f32 1 x) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2)) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (hypot.f32 1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) 1/2) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 1/2))
(pow.f32 (hypot.f32 1 x) 1/2)
(pow.f32 (sqrt.f32 (hypot.f32 1 x)) 1)
(pow.f32 (pow.f32 (hypot.f32 1 x) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (hypot.f32 1 x) 1/4) 2)
(pow.f32 (+.f32 1 (*.f32 x x)) 1/4)
(fabs.f32 (sqrt.f32 (hypot.f32 1 x)))
(log.f32 (exp.f32 (sqrt.f32 (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (sqrt.f32 (hypot.f32 1 x))))
(exp.f32 (log.f32 (sqrt.f32 (hypot.f32 1 x))))

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(+.f32 x (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 (hypot.f32 1 x) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 1 (+.f32 (.f32 x x) (.f32 x (-.f32 x (hypot.f32 1 x))))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x (+.f32 x (-.f32 x (hypot.f32 1 x))) 1))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (+.f32 1 (-.f32 (.f32 x x) (.f32 x x))) (-.f32 (hypot.f32 1 x) x))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (+.f32 1 (sqrt.f32 (hypot.f32 1 x))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(*.f32 1 (sqrt.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(*.f32 (sqrt.f32 (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(*.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) (cbrt.f32 (hypot.f32 1 x)))
(*.f32 (pow.f32 (hypot.f32 1 x) 1/4) (pow.f32 (hypot.f32 1 x) 1/4))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2)) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(*.f32 (fabs.f32 (cbrt.f32 (hypot.f32 1 x))) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3/2)
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) 1/2) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2)) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(*.f32 (fabs.f32 (cbrt.f32 (hypot.f32 1 x))) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (hypot.f32 1 x)) (sqrt.f32 (cbrt.f32 (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (hypot.f32 1 x)) 3/2)
(pow.f32 (hypot.f32 1 x) 1/2)
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (hypot.f32 1 x)) 1)
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(pow.f32 (pow.f32 (hypot.f32 1 x) 3/2) 1/3)
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 (hypot.f32 1 x))) 3)
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(pow.f32 (pow.f32 (hypot.f32 1 x) 1/4) 2)
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(pow.f32 (+.f32 1 (*.f32 x x)) 1/4)
(pow.f32 (fma.f32 x x 1) 1/4)
(fabs.f32 (sqrt.f32 (hypot.f32 1 x)))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(log.f32 (exp.f32 (sqrt.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (hypot.f32 1 x) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (sqrt.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))
(exp.f32 (log.f32 (sqrt.f32 (hypot.f32 1 x))))
(+.f32 1 (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (sqrt.f32 (hypot.f32 1 x)) 0)
(sqrt.f32 (hypot.f32 1 x))

localize112.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
	3.6b	(+.f32 x (hypot.f32 1 x))
✓	11.8b	(-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
	11.9b	(log.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 104 to 81 computations (22.1% saved)

series92.0ms (1.4%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
3.0ms	x	@	-inf	(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
1.0ms	x	@	inf	(-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
1.0ms	x	@	-inf	(-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
0.0ms	x	@	0	(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))

Compiler

Compiled 9830 to 9030 computations (8.1% saved)

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`fma-def_binary32`
490×	`log-prod_binary32`
385×	`pow-prod-down_binary32`
295×	`fma-neg_binary32`
278×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	245	25
2	3571	25

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

Inputs

(-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)

(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) 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#<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/4) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (*.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (*.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) -1)))))

simplify142.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

497×	`unswap-sqr_binary32`
334×	`associate-/r/_binary32`
256×	`associate-+r+_binary32`
243×	`associate-+l+_binary32`
218×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	4880
1	778	4567
2	3266	4499

Stop Event

1×	node limit

Counts

153 → 210

Calls

Call 1

Inputs
(+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 0 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(+.f32 -1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(.f32 1 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2) (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (expm1.f32 (.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (/.f32 1 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(*.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 1 (/.f32 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 1 (/.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (-.f32 1 (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (neg.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (neg.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (neg.f32 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)))
(pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(pow.f32 (pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 2) 1/2)
(pow.f32 (pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 3) 1/3)
(pow.f32 (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 3)
(pow.f32 (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)
(pow.f32 (/.f32 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) -1)
(pow.f32 (/.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(sqrt.f32 (pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 2))
(log.f32 (exp.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))
(cbrt.f32 (pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 3))
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/2))
(expm1.f32 (.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(exp.f32 (log.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 1))
(fma.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1 -1)
(fma.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(fma.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) -1)
(fma.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) 1) -1)
(fma.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) -1)
(fma.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) (*.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) -1)
(fma.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(+.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (log.f32 (/.f32 1 (-.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))
(+.f32 (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(+.f32 (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 -1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(+.f32 (.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) -1))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 0 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (fma.f32 x x 1)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (+.f32 (fma.f32 x x 1) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
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(fma.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(fma.f32 (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) 0)
(fma.f32 (.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(fma.f32 (.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(fma.f32 (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) -1)

Outputs
(+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 0 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 -1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))
(.f32 1 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2))
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2) (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(.f32 (expm1.f32 (.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (/.f32 1 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)))
(*.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(*.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(*.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(*.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (-.f32 2 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 1 (/.f32 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 1 (/.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (expm1.f32 (.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (-.f32 1 (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (neg.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (neg.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (neg.f32 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)))
(/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (*.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))))
(pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 2) 1/2)
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 3) 1/3)
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 3)
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)
(expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (/.f32 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (*.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) -1)
(.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
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(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 1 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 1 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1 -1)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 -1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 1 (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 1 (.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) -1))
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (pow.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
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(log.f32 (+.f32 x (hypot.f32 1 x)))
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(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
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(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
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(fma.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 0)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(fma.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) 0)
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))))
(fma.f32 (expm1.f32 (.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (/.f32 1 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (expm1.f32 (.f32 3/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (/.f32 1 (+.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2)) (+.f32 2 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (/.f32 1 (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1) 1)) -1)
(fma.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (/.f32 1 (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)) -1)
(+.f32 -1 (/.f32 (+.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) (fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)))
(fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1 0)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(+.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (/.f32 1 (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 -1 (/.f32 (-.f32 1 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (-.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(fma.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/4) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) -1)
(fma.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/4) -1)
(fma.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4) 1) (expm1.f32 (.f32 1/4 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (expm1.f32 (.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (-.f32 2 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (-.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (/.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3/2))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (-.f32 2 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))
(fma.f32 (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) 0)
(fma.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))) 0)
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (*.f32 (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4)) (hypot.f32 1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/4))))
(fma.f32 (.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (cbrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 2)) (cbrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (sqrt.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(.f32 (expm1.f32 (.f32 1/2 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (+.f32 1 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(fma.f32 (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) -1)
(fma.f32 (*.f32 (hypot.f32 1 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/6) -1)

eval406.0ms (6%)

Compiler: Compiled 18631 to 14210 computations (23.7% saved)

prune199.0ms (3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	766	7	773
Fresh	9	0	9
Picked	1	0	1
Done	5	4	9
Total	781	11	792

Error

0.1b

Counts

792 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.4b	(copysign.f32 (-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1) x)
✓	19.4b	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	21.5b	(copysign.f32 (*.f32 (log.f32 (hypot.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x))) 2) x)
▶	20.4b	(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
▶	26.9b	(copysign.f32 (log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)) x)
	12.0b	(copysign.f32 (log1p.f32 (+.f32 x (/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x))))) x)
✓	7.4b	(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)
▶	6.8b	(copysign.f32 (log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))) x)
▶	18.1b	(copysign.f32 (log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) x)
✓	20.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
✓	19.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Compiler

Compiled 228 to 169 computations (25.9% saved)

localize60.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))
✓	4.8b	(log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))))
	5.2b	(+.f32 (hypot.f32 1 x) -1)
✓	6.1b	(+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))

Compiler

Compiled 56 to 44 computations (21.4% saved)

series55.0ms (0.8%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))
0.0ms	x	@	inf	(+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))
0.0ms	x	@	inf	(log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))))
0.0ms	x	@	-inf	(+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))
0.0ms	x	@	-inf	(log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))))

Compiler

Compiled 2255 to 1870 computations (17.1% saved)

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`pow1_binary32`
914×	`add-log-exp_binary32`
914×	`expm1-log1p-u_binary32`
912×	`log1p-expm1-u_binary32`
93×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	188	29
2	2412	29

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))
(log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))))
(expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (hypot.f32 1 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (+.f32 (hypot.f32 1 x) -1))) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 0 (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -1)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (*.f32 x x) (*.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2) (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (hypot.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 (hypot.f32 1 x) 1)) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (hypot.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1))) (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 1) (+.f32 (+.f32 1 (*.f32 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (+.f32 (hypot.f32 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1)) (neg.f32 (+.f32 (hypot.f32 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 0 (hypot.f32 1 x)) 3) 1) (+.f32 (*.f32 (+.f32 0 (hypot.f32 1 x)) (+.f32 0 (hypot.f32 1 x))) (+.f32 1 (*.f32 (+.f32 0 (hypot.f32 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 0 (hypot.f32 1 x)) (+.f32 0 (hypot.f32 1 x))) 1) (+.f32 (+.f32 0 (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (+.f32 1 (*.f32 x x))) (-.f32 -1 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)))))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-def_binary32`
488×	`unswap-sqr_binary32`
487×	`times-frac_binary32`
276×	`associate-/l*_binary32`
217×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1287
1	499	1185
2	1878	1169

Stop Event

1×	node limit

Counts

87 → 106

Calls

Call 1

Inputs
(-.f32 (+.f32 0 (hypot.f32 1 x)) (-.f32 1 x))
(-.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x) 1)
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (+.f32 (hypot.f32 1 x) -1))) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 x (+.f32 (hypot.f32 1 x) -1))))
(-.f32 (+.f32 x (+.f32 0 (hypot.f32 1 x))) 1)
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -1))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))
(/.f32 1 (/.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -1)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))
(pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))
(log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))
(expm1.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))) 1)
(*.f32 1 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))
(*.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2) (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 2))
(log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(exp.f32 (log.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(+.f32 (hypot.f32 1 x) -1)
(+.f32 -1 (hypot.f32 1 x))
(+.f32 (+.f32 0 (hypot.f32 1 x)) -1)
(-.f32 (+.f32 0 (hypot.f32 1 x)) 1)
(-.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 (hypot.f32 1 x) 1)) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(*.f32 1 (+.f32 (hypot.f32 1 x) -1))
(*.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(.f32 (+.f32 (+.f32 1 (.f32 x x)) -1) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))) (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 1) (+.f32 (+.f32 1 (*.f32 x x)) -1)))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (hypot.f32 1 x) -1))))
(/.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (+.f32 (hypot.f32 1 x) 1))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1)))))
(/.f32 (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1)) (neg.f32 (+.f32 (hypot.f32 1 x) 1)))
(/.f32 (-.f32 (pow.f32 (+.f32 0 (hypot.f32 1 x)) 3) 1) (+.f32 (.f32 (+.f32 0 (hypot.f32 1 x)) (+.f32 0 (hypot.f32 1 x))) (+.f32 1 (.f32 (+.f32 0 (hypot.f32 1 x)) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 0 (hypot.f32 1 x)) (+.f32 0 (hypot.f32 1 x))) 1) (+.f32 (+.f32 0 (hypot.f32 1 x)) 1))
(/.f32 (-.f32 1 (+.f32 1 (*.f32 x x))) (-.f32 -1 (hypot.f32 1 x)))
(pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))
(fma.f32 1 (hypot.f32 1 x) -1)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)

Outputs
(-.f32 (+.f32 0 (hypot.f32 1 x)) (-.f32 1 x))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(-.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x) 1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (+.f32 (hypot.f32 1 x) -1))) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 x (+.f32 (hypot.f32 1 x) -1))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 x (-.f32 1 (hypot.f32 1 x))))
(-.f32 (+.f32 x (+.f32 0 (hypot.f32 1 x))) 1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -1))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 x (-.f32 1 (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 1 (/.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -1)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 x (-.f32 1 (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 x (-.f32 1 (hypot.f32 1 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -1))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 x (-.f32 1 (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 x (-.f32 1 (hypot.f32 1 x))))
(pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(expm1.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))
(expm1.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 -1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 1 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2) (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x)) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 (+.f32 0 (hypot.f32 1 x)) x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (hypot.f32 1 x) -1)
(+.f32 -1 (hypot.f32 1 x))
(+.f32 (hypot.f32 1 x) -1)
(+.f32 (+.f32 0 (hypot.f32 1 x)) -1)
(+.f32 (hypot.f32 1 x) -1)
(-.f32 (+.f32 0 (hypot.f32 1 x)) 1)
(+.f32 (hypot.f32 1 x) -1)
(-.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 (hypot.f32 1 x) 1)) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(-.f32 (/.f32 (+.f32 1 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x))) (/.f32 1 (+.f32 1 (hypot.f32 1 x))))
(+.f32 (/.f32 (fma.f32 x x 1) (+.f32 1 (hypot.f32 1 x))) (/.f32 -1 (+.f32 1 (hypot.f32 1 x))))
(+.f32 (/.f32 (fma.f32 x x 1) (+.f32 1 (hypot.f32 1 x))) (/.f32 1 (-.f32 -1 (hypot.f32 1 x))))
(*.f32 1 (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (hypot.f32 1 x) -1)
(*.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (hypot.f32 1 x) -1)
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (hypot.f32 1 x) (fma.f32 x x 2)))
(.f32 (+.f32 (+.f32 1 (.f32 x x)) -1) (/.f32 1 (+.f32 (hypot.f32 1 x) 1)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 0 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(+.f32 (hypot.f32 1 x) -1)
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))) (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (hypot.f32 1 x) (fma.f32 x x 2)))
(/.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 1) (+.f32 (+.f32 1 (*.f32 x x)) -1)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 0 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (hypot.f32 1 x) (fma.f32 x x 2)))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (hypot.f32 1 x) (fma.f32 x x 2)))
(/.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1) (+.f32 (hypot.f32 1 x) 1))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 0 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (.f32 (hypot.f32 1 x) -1)))))
(.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (-.f32 1 (*.f32 (hypot.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 2 (fma.f32 x x (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (hypot.f32 1 x) (fma.f32 x x 2)))
(/.f32 (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) -1)) (neg.f32 (+.f32 (hypot.f32 1 x) 1)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 0 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 (+.f32 0 (hypot.f32 1 x)) 3) 1) (+.f32 (.f32 (+.f32 0 (hypot.f32 1 x)) (+.f32 0 (hypot.f32 1 x))) (+.f32 1 (.f32 (+.f32 0 (hypot.f32 1 x)) 1))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (hypot.f32 1 x) (+.f32 1 (hypot.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (*.f32 (hypot.f32 1 x) (+.f32 1 (hypot.f32 1 x)))))
(/.f32 (-.f32 (*.f32 (+.f32 0 (hypot.f32 1 x)) (+.f32 0 (hypot.f32 1 x))) 1) (+.f32 (+.f32 0 (hypot.f32 1 x)) 1))
(+.f32 (hypot.f32 1 x) -1)
(/.f32 (-.f32 1 (+.f32 1 (*.f32 x x))) (-.f32 -1 (hypot.f32 1 x)))
(.f32 (/.f32 1 (+.f32 1 (hypot.f32 1 x))) (+.f32 1 (+.f32 (.f32 x x) -1)))
(/.f32 (+.f32 0 (*.f32 x x)) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x)))
(pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(+.f32 (hypot.f32 1 x) -1)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)
(+.f32 (hypot.f32 1 x) -1)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)
(+.f32 (hypot.f32 1 x) -1)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)
(+.f32 (hypot.f32 1 x) -1)
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))
(+.f32 (hypot.f32 1 x) -1)
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (hypot.f32 1 x) -1)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -1))))
(+.f32 (hypot.f32 1 x) -1)
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))
(+.f32 (hypot.f32 1 x) -1)
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (hypot.f32 1 x) -1)
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (hypot.f32 1 x) -1)
(fma.f32 1 (hypot.f32 1 x) -1)
(+.f32 (hypot.f32 1 x) -1)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)
(+.f32 (hypot.f32 1 x) -1)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)
(+.f32 (hypot.f32 1 x) -1)

localize40.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.5b	(-.f32 (hypot.f32 1 x) x)
✓	11.9b	(log.f32 (-.f32 (hypot.f32 1 x) x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series11.0ms (0.2%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f32 (-.f32 (hypot.f32 1 x) x))
0.0ms	x	@	inf	(log.f32 (-.f32 (hypot.f32 1 x) x))
0.0ms	x	@	-inf	(log.f32 (-.f32 (hypot.f32 1 x) x))

Compiler

Compiled 1050 to 900 computations (14.3% saved)

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`pow1_binary32`
584×	`add-log-exp_binary32`
584×	`log1p-expm1-u_binary32`
584×	`expm1-log1p-u_binary32`
572×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	122	9
2	1569	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(log.f32 (-.f32 (hypot.f32 1 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))))

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-def_binary32`
586×	`distribute-rgt-in_binary32`
525×	`distribute-lft-in_binary32`
342×	`log-prod_binary32`
236×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	252
1	134	218
2	452	218
3	2315	216
4	6812	216

Stop Event

1×	node limit

Counts

20 → 30

Calls

Call 1

Inputs
(+.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))
(-.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(-.f32 (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))) (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(*.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(pow.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)
(sqrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1))
(exp.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))

Outputs
(+.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 3 (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(+.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 2 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))
(-.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(-.f32 (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log1p.f32 (*.f32 x (fma.f32 2 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))) (log.f32 (+.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 1 (-.f32 (.f32 x x) (.f32 x x)))) (log.f32 (+.f32 x (hypot.f32 1 x))))
(neg.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(sqrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1))
(log1p.f32 (+.f32 (-.f32 (hypot.f32 1 x) x) -1))
(log1p.f32 (-.f32 (hypot.f32 1 x) (+.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))

localize46.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (hypot.f32 1 x) -2)
✓	2.9b	(log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
✓	6.0b	(+.f32 x (+.f32 (hypot.f32 1 x) -2))
✓	11.8b	(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))

Compiler

Compiled 50 to 38 computations (24% saved)

series32.0ms (0.5%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
0.0ms	x	@	0	(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
0.0ms	x	@	-inf	(+.f32 x (+.f32 (hypot.f32 1 x) -2))
0.0ms	x	@	inf	(log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
0.0ms	x	@	0	(+.f32 (hypot.f32 1 x) -2)

Compiler

Compiled 2740 to 2280 computations (16.8% saved)

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`prod-diff_binary32`
619×	`unpow-prod-down_binary32`
438×	`fma-def_binary32`
415×	`log-prod_binary32`
265×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	206	39
2	2909	39

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(+.f32 x (+.f32 (hypot.f32 1 x) -2))
(log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(+.f32 (hypot.f32 1 x) -2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) (/.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (pow.f32 (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (pow.f32 (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2) 3) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1) (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)) (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (+.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))) (neg.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))) (neg.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 x) 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (+.f32 (pow.f32 (+.f32 1 x) 2) (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (.f32 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) 1) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 x) 2) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (-.f32 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1) (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)) (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -2)) (exp.f32 (+.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))) (exp.f32 (+.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (+.f32 1 x)) (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (hypot.f32 1 x) -2) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x (hypot.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x 1 (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (hypot.f32 1 x) -2) 1 (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2))) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 (hypot.f32 1 x) 2)) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 1 x) 1 (+.f32 (hypot.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 2) (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 x)) 2) (cbrt.f32 (+.f32 1 x)) (+.f32 (hypot.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 1 (sqrt.f32 x)) (hypot.f32 1 (sqrt.f32 x)) (+.f32 (hypot.f32 1 x) -2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (+.f32 (hypot.f32 1 x) -2))) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (-.f32 x (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 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1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 (hypot.f32 1 x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x (hypot.f32 1 x)) 1 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 2)) (log.f32 (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))) (log.f32 (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))) (log.f32 (-.f32 1 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2) (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2)) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2) (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 1/3) (cbrt.f32 (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 2) 3) (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (fma.f32 x x 1) (+.f32 (hypot.f32 1 x) 2)) (/.f32 4 (+.f32 (hypot.f32 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (hypot.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (hypot.f32 1 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (pow.f32 (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 (hypot.f32 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fma.f32 x x 1) -4) (pow.f32 (/.f32 1 (+.f32 (hypot.f32 1 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (+.f32 (hypot.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))) 2) 3) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3/2) 1/3) (pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2)) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2))) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2)) (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 2) (+.f32 (fma.f32 x x 1) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 4 (-.f32 (fma.f32 x x 1) (.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fma.f32 x x 1) -4) (+.f32 (hypot.f32 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (fma.f32 x x 1) -4)) (neg.f32 (+.f32 (hypot.f32 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 4 (fma.f32 x x 1)) (-.f32 -2 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (hypot.f32 1 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2)) (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (hypot.f32 1 x) 2) (+.f32 (fma.f32 x x 1) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (+.f32 (hypot.f32 1 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 1 x) 1 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -2)))))

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

927×	`times-frac_binary32`
777×	`fma-neg_binary32`
225×	`log-prod_binary32`
174×	`div-sub_binary32`
165×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	4578
1	1156	4086
2	3859	3989

Stop Event

1×	node limit

Counts

226 → 322

Calls

Call 1

Inputs
(-.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)
(-.f32 (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) (/.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(*.f32 1 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))
(*.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (pow.f32 (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)) 1))
(*.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(*.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (pow.f32 (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) 1))
(*.f32 (pow.f32 1 1/3) (+.f32 (+.f32 x (hypot.f32 1 x)) -1))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) 1/3))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2) 3) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3))
(/.f32 1 (/.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1) (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))))
(/.f32 1 (/.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)) (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (+.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))) (neg.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))) (neg.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 x) 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (+.f32 (pow.f32 (+.f32 1 x) 2) (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (*.f32 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))))
(/.f32 (-.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) 1) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1))
(/.f32 (-.f32 (pow.f32 (+.f32 1 x) 2) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (-.f32 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)
(pow.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2)
(pow.f32 (/.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1) (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))) -1)
(pow.f32 (/.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)) (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))) -1)
(sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))
(log.f32 (exp.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(log.f32 (*.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -2)) (exp.f32 (+.f32 1 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))) (exp.f32 (+.f32 1 x))))
(log.f32 (*.f32 (exp.f32 (+.f32 1 x)) (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(exp.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1))
(fma.f32 1 x (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -2) (+.f32 1 x))
(fma.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1)
(fma.f32 1 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) -1)
(fma.f32 1 (+.f32 x (hypot.f32 1 x)) -1)
(fma.f32 1 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2))
(fma.f32 x 1 (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))
(fma.f32 (+.f32 (hypot.f32 1 x) -2) 1 (+.f32 1 x))
(fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1 1)
(fma.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (+.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (+.f32 1 x))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))
(fma.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2) 1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (+.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (+.f32 (hypot.f32 1 x) -2) 1))
(fma.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)
(fma.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2))) (+.f32 1 x))
(fma.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x)))) 1)
(fma.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 (hypot.f32 1 x) 2)) (+.f32 1 x))
(fma.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)
(fma.f32 (+.f32 1 x) 1 (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 2) (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 x)) 2) (cbrt.f32 (+.f32 1 x)) (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) -1)
(fma.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -1)
(fma.f32 (hypot.f32 1 (sqrt.f32 x)) (hypot.f32 1 (sqrt.f32 x)) (+.f32 (hypot.f32 1 x) -2))
(-.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (+.f32 (hypot.f32 1 x) -2))) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (-.f32 x (+.f32 (hypot.f32 1 x) -2))))
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1)
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (pow.f32 (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x)))) 1))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -2))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (pow.f32 (/.f32 1 (-.f32 x (+.f32 (hypot.f32 1 x) -2))) 1))
(*.f32 (pow.f32 1 1/3) (+.f32 x (+.f32 (hypot.f32 1 x) -2)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 2) 3) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3/2) 1/3) (pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3/2) 1/3))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2)) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3))))
(/.f32 1 (/.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 (hypot.f32 1 x) -2)))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (-.f32 x (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2))) (neg.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) -8) (+.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) (-.f32 4 (*.f32 (+.f32 x (hypot.f32 1 x)) -2))))
(/.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -2) x))
(/.f32 (-.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) 4) (-.f32 (+.f32 x (hypot.f32 1 x)) -2))
(pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1)
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) 1/2)
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 2)
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3) 1/3)
(pow.f32 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3))) -1)
(pow.f32 (/.f32 (-.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2))) -1)
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))
(log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (+.f32 (hypot.f32 1 x) -2))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))) (exp.f32 x)))
(log.f32 (*.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -2)) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))) (+.f32 1 (expm1.f32 x))))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(expm1.f32 (*.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(exp.f32 (*.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1))
(fma.f32 1 x (+.f32 (hypot.f32 1 x) -2))
(fma.f32 1 (hypot.f32 1 x) (+.f32 -2 x))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -2) x)
(fma.f32 1 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) -1)
(fma.f32 1 (+.f32 x (hypot.f32 1 x)) -2)
(fma.f32 x 1 (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (hypot.f32 1 x) 1 (+.f32 -2 x))
(fma.f32 (+.f32 (hypot.f32 1 x) -2) 1 x)
(fma.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1 -1)
(fma.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)) -1)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) -1)
(fma.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) x)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) (+.f32 -2 x))
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) (+.f32 -2 x))
(fma.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (+.f32 -2 x))
(fma.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2))) x)
(fma.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)) -1)
(fma.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 (hypot.f32 1 x) 2)) x)
(fma.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) -1)
(fma.f32 (+.f32 x (hypot.f32 1 x)) 1 -2)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))) -2)
(fma.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -2)
(+.f32 0 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) 2)) (log.f32 (cbrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))) (log.f32 (sqrt.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))) (log.f32 (-.f32 1 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(*.f32 1 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(*.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 1)
(*.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2) (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(*.f32 (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(*.f32 (pow.f32 1 1/3) (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3)) 1/3))
(.f32 (pow.f32 (.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2)) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))
(.f32 (pow.f32 (.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2) (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 1/3) (cbrt.f32 (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 2) 3) (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))) 3))
(pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 1)
(pow.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 2))
(log.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
(cbrt.f32 (pow.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(exp.f32 (log.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -2))) 1)
(-.f32 (/.f32 (fma.f32 x x 1) (+.f32 (hypot.f32 1 x) 2)) (/.f32 4 (+.f32 (hypot.f32 1 x) 2)))
(*.f32 1 (+.f32 (hypot.f32 1 x) -2))
(*.f32 (+.f32 (hypot.f32 1 x) -2) 1)
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)))
(*.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)))
(.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2))))
(.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (pow.f32 (/.f32 1 (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2))) 1))
(*.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 (hypot.f32 1 x) 2)))
(*.f32 (+.f32 (fma.f32 x x 1) -4) (pow.f32 (/.f32 1 (+.f32 (hypot.f32 1 x) 2)) 1))
(*.f32 (pow.f32 1 1/3) (+.f32 (hypot.f32 1 x) -2))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))) 2) 3) (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3/2) 1/3) (pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3/2) 1/3))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2)) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2))))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (sqrt.f32 (+.f32 (hypot.f32 1 x) -2))) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2))))
(/.f32 1 (/.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2)) (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (+.f32 (hypot.f32 1 x) 2) (+.f32 (fma.f32 x x 1) -4)))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2)))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 4 (-.f32 (fma.f32 x x 1) (*.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 (fma.f32 x x 1) -4) (+.f32 (hypot.f32 1 x) 2))
(/.f32 (neg.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2))))
(/.f32 (neg.f32 (+.f32 (fma.f32 x x 1) -4)) (neg.f32 (+.f32 (hypot.f32 1 x) 2)))
(/.f32 (-.f32 4 (fma.f32 x x 1)) (-.f32 -2 (hypot.f32 1 x)))
(pow.f32 (+.f32 (hypot.f32 1 x) -2) 1)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) 1/2)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 3)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3) 1/3)
(pow.f32 (/.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2)) (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))) -1)
(pow.f32 (/.f32 (+.f32 (hypot.f32 1 x) 2) (+.f32 (fma.f32 x x 1) -4)) -1)
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2))
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -2)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))))
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3))
(expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -2)))
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -2)))
(exp.f32 (*.f32 (log.f32 (+.f32 (hypot.f32 1 x) -2)) 1))
(fma.f32 1 (hypot.f32 1 x) -2)
(fma.f32 (hypot.f32 1 x) 1 -2)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) -2)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) -2)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -2)

Outputs
(-.f32 (+.f32 2 (+.f32 x (+.f32 (hypot.f32 1 x) -2))) 1)
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(-.f32 (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) (/.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (+.f32 (-.f32 (-.f32 1 x) (hypot.f32 1 x)) 2))
(*.f32 1 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 1)
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)))
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2)))
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1))) (cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2)) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2)))
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1))) (cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)) 2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)))
(/.f32 (*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) 1) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (-.f32 (+.f32 (hypot.f32 1 x) -2) 1)) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (+.f32 (hypot.f32 1 x) -3)) 1))
(*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (pow.f32 (/.f32 1 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)) 1))
(/.f32 (*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) 1) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (-.f32 (+.f32 (hypot.f32 1 x) -2) 1)) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (+.f32 (hypot.f32 1 x) -3)) 1))
(*.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (+.f32 (-.f32 (-.f32 1 x) (hypot.f32 1 x)) 2))
(*.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (pow.f32 (/.f32 1 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))) 1))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (+.f32 (-.f32 (-.f32 1 x) (hypot.f32 1 x)) 2))
(*.f32 (pow.f32 1 1/3) (+.f32 (+.f32 x (hypot.f32 1 x)) -1))
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 3)) 1/3))
(*.f32 (cbrt.f32 (sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))) (cbrt.f32 (sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)) 3/2)) (cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)) 3/2)))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (cbrt.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2))) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2)))) (cbrt.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)) 2) (cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)) 2)))) (cbrt.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)))))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1) 2) (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))) (cbrt.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1))) 5)) (cbrt.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 2) 3) (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1)))
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 (+.f32 x (hypot.f32 1 x)) -1))) 3))
(+.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)) -1)
(+.f32 x (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(/.f32 1 (/.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1) (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))))
(/.f32 (*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) 1) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (-.f32 (+.f32 (hypot.f32 1 x) -2) 1)) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (+.f32 (hypot.f32 1 x) -3)) 1))
(/.f32 1 (/.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)) (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (+.f32 (-.f32 (-.f32 1 x) (hypot.f32 1 x)) 2))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1))
(/.f32 (*.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) 1) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (-.f32 (+.f32 (hypot.f32 1 x) -2) 1)) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (+.f32 (hypot.f32 1 x) -3)) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (+.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (+.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)) (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (+.f32 (+.f32 (-.f32 (-.f32 1 x) (hypot.f32 1 x)) 2) (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2)) (+.f32 (-.f32 (-.f32 1 x) (hypot.f32 1 x)) 2))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))) (neg.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1) 1)))
(/.f32 (+.f32 -1 (neg.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3))) (neg.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (-.f32 (+.f32 (hypot.f32 1 x) -2) 1)) 1)))
(/.f32 (-.f32 -1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 3)) (neg.f32 (fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) (+.f32 x (+.f32 (hypot.f32 1 x) -3)) 1)))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))) (neg.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) -1) (+.f32 x (+.f32 (hypot.f32 1 x) -3)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 x) 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (+.f32 (pow.f32 (+.f32 1 x) 2) (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (*.f32 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))))
(/.f32 (+.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (+.f32 (pow.f32 (+.f32 x 1) 2) (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) (*.f32 (+.f32 (hypot.f32 1 x) -2) (+.f32 x 1)))))
(/.f32 (+.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3)) (+.f32 (pow.f32 (+.f32 x 1) 2) (*.f32 (+.f32 (hypot.f32 1 x) -2) (-.f32 (+.f32 (hypot.f32 1 x) -2) (+.f32 x 1)))))
(/.f32 (-.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) 1) (-.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2))) (neg.f32 (-.f32 (-.f32 1 x) (+.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 2) -1) (+.f32 x (+.f32 (hypot.f32 1 x) -3)))
(/.f32 (-.f32 (pow.f32 (+.f32 1 x) 2) (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2)) (-.f32 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2)))
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(exp.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2))))
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(fma.f32 1 (+.f32 x (hypot.f32 1 x)) -1)
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(fma.f32 1 (+.f32 1 x) (+.f32 (hypot.f32 1 x) -2))
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(fma.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -2)) 1 1)
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(fma.f32 (+.f32 x (hypot.f32 1 x)) 1 -2)
(+.f32 x (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))) -2)
(+.f32 x (+.f32 (hypot.f32 1 x) -2))
(fma.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))) -2)
(+.f32 x (+.f32 (hypot.f32 1 x) -2))
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(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(log1p.f32 (+.f32 (hypot.f32 1 x) (+.f32 x -1)))
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(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2))))) (log.f32 (cbrt.f32 (+.f32 (+.f32 2 x) (+.f32 (hypot.f32 1 x) -2)))))
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(/.f32 (.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) 1) (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2)))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 (.f32 x x) 5) (.f32 2 (hypot.f32 1 x))))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (-.f32 (fma.f32 x x 1) (fma.f32 (hypot.f32 1 x) -2 -4)))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 4 (-.f32 (fma.f32 x x 1) (*.f32 (hypot.f32 1 x) -2))))
(/.f32 (.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) 1) (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2)))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 (.f32 x x) 5) (.f32 2 (hypot.f32 1 x))))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (-.f32 (fma.f32 x x 1) (fma.f32 (hypot.f32 1 x) -2 -4)))
(/.f32 (+.f32 (fma.f32 x x 1) -4) (+.f32 (hypot.f32 1 x) 2))
(*.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 2 (hypot.f32 1 x))))
(/.f32 (+.f32 (*.f32 x x) -3) (+.f32 2 (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2))))
(/.f32 (+.f32 8 (neg.f32 (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2))))
(/.f32 (-.f32 8 (pow.f32 (hypot.f32 1 x) 3)) (-.f32 -4 (+.f32 (fma.f32 x x 1) (*.f32 2 (hypot.f32 1 x)))))
(/.f32 (neg.f32 (+.f32 (fma.f32 x x 1) -4)) (neg.f32 (+.f32 (hypot.f32 1 x) 2)))
(/.f32 (+.f32 (neg.f32 (fma.f32 x x 1)) 4) (+.f32 (neg.f32 (hypot.f32 1 x)) -2))
(/.f32 (-.f32 4 (fma.f32 x x 1)) (-.f32 -2 (hypot.f32 1 x)))
(/.f32 (-.f32 4 (fma.f32 x x 1)) (-.f32 -2 (hypot.f32 1 x)))
(/.f32 (+.f32 (neg.f32 (fma.f32 x x 1)) 4) (+.f32 (neg.f32 (hypot.f32 1 x)) -2))
(pow.f32 (+.f32 (hypot.f32 1 x) -2) 1)
(+.f32 (hypot.f32 1 x) -2)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2) 1/2)
(+.f32 (hypot.f32 1 x) -2)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -2)) 3)
(+.f32 (hypot.f32 1 x) -2)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -2)) 2)
(+.f32 (hypot.f32 1 x) -2)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3) 1/3)
(+.f32 (hypot.f32 1 x) -2)
(pow.f32 (/.f32 (-.f32 (+.f32 (fma.f32 x x 1) 4) (*.f32 (hypot.f32 1 x) -2)) (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3))) -1)
(/.f32 (.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) 1) (-.f32 (+.f32 (fma.f32 x x 1) 4) (.f32 (hypot.f32 1 x) -2)))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 (.f32 x x) 5) (.f32 2 (hypot.f32 1 x))))
(/.f32 (+.f32 -8 (pow.f32 (hypot.f32 1 x) 3)) (-.f32 (fma.f32 x x 1) (fma.f32 (hypot.f32 1 x) -2 -4)))
(pow.f32 (/.f32 (+.f32 (hypot.f32 1 x) 2) (+.f32 (fma.f32 x x 1) -4)) -1)
(*.f32 (+.f32 (fma.f32 x x 1) -4) (/.f32 1 (+.f32 2 (hypot.f32 1 x))))
(/.f32 (+.f32 (*.f32 x x) -3) (+.f32 2 (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 2))
(+.f32 (hypot.f32 1 x) -2)
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -2)))
(+.f32 (hypot.f32 1 x) -2)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (hypot.f32 1 x) -2))))
(+.f32 (hypot.f32 1 x) -2)
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -2) 3))
(+.f32 (hypot.f32 1 x) -2)
(expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -2)))
(+.f32 (hypot.f32 1 x) -2)
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -2)))
(+.f32 (hypot.f32 1 x) -2)
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -2)))
(+.f32 (hypot.f32 1 x) -2)
(exp.f32 (*.f32 (log.f32 (+.f32 (hypot.f32 1 x) -2)) 1))
(+.f32 (hypot.f32 1 x) -2)
(fma.f32 1 (hypot.f32 1 x) -2)
(+.f32 (hypot.f32 1 x) -2)
(fma.f32 (hypot.f32 1 x) 1 -2)
(+.f32 (hypot.f32 1 x) -2)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) -2)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) -2)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) -2)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -2)
(+.f32 (hypot.f32 1 x) -2)

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 1 (-.f32 (hypot.f32 1 x) x))
	3.5b	(-.f32 (hypot.f32 1 x) x)
✓	6.2b	(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
✓	11.8b	(-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)

Compiler

Compiled 49 to 36 computations (26.5% saved)

series36.0ms (0.5%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
0.0ms	x	@	0	(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
0.0ms	x	@	inf	(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
0.0ms	x	@	0	(-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
0.0ms	x	@	inf	(-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)

Compiler

Compiled 1635 to 1370 computations (16.2% saved)

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`pow1_binary32`
871×	`add-log-exp_binary32`
871×	`expm1-log1p-u_binary32`
870×	`log1p-expm1-u_binary32`
853×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	179	24
2	2466	24

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (/.f32 1 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 1) (-.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (-.f32 1 (*.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1)) (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))))

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-/l*_binary32`
360×	`log-prod_binary32`
300×	`unswap-sqr_binary32`
278×	`div-sub_binary32`
268×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	838
1	253	821
2	923	820
3	4166	820

Stop Event

1×	node limit

Counts

54 → 61

Calls

Call 1

Inputs
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(+.f32 -1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(*.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(*.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (/.f32 1 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))
(*.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 1) (-.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1)))
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (-.f32 1 (*.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))))
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1)) (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 3))
(expm1.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(exp.f32 (log.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(fma.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) -1)
(fma.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) -1)
(+.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))
(-.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))

Outputs
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(+.f32 -1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 1)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (/.f32 1 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) 1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (-.f32 1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 -1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (-.f32 1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(*.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 1) (-.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(/.f32 1 (/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1)))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) 1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (-.f32 1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 -1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (-.f32 1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 1 (/.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) 1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (-.f32 1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 -1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (-.f32 1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (-.f32 1 (*.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) 1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (-.f32 1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 -1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (-.f32 1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(/.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1) (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3) -1)) (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) 1) (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (-.f32 1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (+.f32 -1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 (hypot.f32 1 x) x) -3)) (-.f32 1 (-.f32 (/.f32 -1 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 1)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 3) 1/3)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 3)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)) 2)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 2))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(log.f32 (exp.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1) 3))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(expm1.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(exp.f32 (log.f32 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)))
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(fma.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) -1)
(+.f32 -1 (/.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(fma.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) -1)
(+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1)
(+.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))

localize100.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
	3.5b	(-.f32 (hypot.f32 1 x) x)
✓	11.8b	(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
	11.9b	(log.f32 (-.f32 (hypot.f32 1 x) x))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series22.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
0.0ms	x	@	-inf	(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
0.0ms	x	@	inf	(+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
0.0ms	x	@	-inf	(+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
0.0ms	x	@	0	(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)

Compiler

Compiled 2110 to 1830 computations (13.3% saved)

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary32`
909×	`add-log-exp_binary32`
909×	`log1p-expm1-u_binary32`
909×	`expm1-log1p-u_binary32`
108×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	208	21
2	3097	21

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (neg.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (neg.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (/.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (-.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1)) (neg.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (/.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (*.f32 (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (*.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (/.f32 1 (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (/.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))) (neg.f32 (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))) (neg.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) 1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) 1) (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) 1) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (-.f32 (hypot.f32 1 x) x) (E.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (*.f32 (-.f32 (hypot.f32 1 x) x) (E.f32)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 (-.f32 (hypot.f32 1 x) x) (E.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)))))

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

534×	`fma-neg_binary32`
510×	`associate-/r*_binary32`
380×	`associate-+l+_binary32`
329×	`associate--r+_binary32`
282×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1852
1	417	1811
2	1851	1805

Stop Event

1×	node limit

Counts

91 → 111

Calls

Call 1

Inputs
(+.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 1 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 1))
(+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 0)
(+.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1)
(+.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 -1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 1)
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (neg.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (neg.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (/.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(.f32 (.f32 -1 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (-.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1)) (neg.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)
(pow.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(sqrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(log.f32 (+.f32 1 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1))
(exp.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(fma.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) -1)
(-.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 0 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(-.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) 1)
(-.f32 (/.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (/.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(*.f32 (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (.f32 (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))
(*.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))
(*.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (/.f32 1 (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (/.f32 1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))))
(/.f32 1 (/.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))) (neg.f32 (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))) (neg.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) 1) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(/.f32 (*.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) 1) (-.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (*.f32 (+.f32 1 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) 1) (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)
(pow.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)
(pow.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(log.f32 (*.f32 (-.f32 (hypot.f32 1 x) x) (E.f32)))
(log.f32 (+.f32 1 (-.f32 (*.f32 (-.f32 (hypot.f32 1 x) x) (E.f32)) 1)))
(cbrt.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))
(expm1.f32 (log.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(log1p.f32 (-.f32 (*.f32 (-.f32 (hypot.f32 1 x) x) (E.f32)) 1))
(exp.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(fma.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(fma.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(fma.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)

Outputs
(+.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 1 (*.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 1))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 0)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) -1)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 -1 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1) 1)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (neg.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (neg.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1) (/.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (/.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(/.f32 (-.f32 1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (-.f32 -2 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (neg.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1))
(log.f32 (-.f32 (hypot.f32 1 x) x))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(.f32 (.f32 -1 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(/.f32 1 (/.f32 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) -1)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (/.f32 1 (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(/.f32 (-.f32 1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (-.f32 -2 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2)))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) (+.f32 2 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) (+.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))))
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(+.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(fma.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(-.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))

eval545.0ms (8.1%)

Compiler: Compiled 17712 to 13455 computations (24% saved)

prune280.0ms (4.1%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	873	4	877
Fresh	0	2	2
Picked	1	0	1
Done	2	6	8
Total	876	12	888

Error

0.1b

Counts

888 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	20.4b	(copysign.f32 (-.f32 (-.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1) x)
✓	19.4b	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	21.5b	(copysign.f32 (*.f32 (log.f32 (hypot.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x))) 2) x)
	20.0b	(copysign.f32 (neg.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) (+.f32 1 x)))) x)
	20.4b	(copysign.f32 (log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)) x)
	12.0b	(copysign.f32 (log1p.f32 (+.f32 x (/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x))))) x)
✓	7.4b	(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)
✓	6.8b	(copysign.f32 (log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))) x)
✓	18.1b	(copysign.f32 (log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) x)
	20.4b	(copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x)
✓	20.2b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
✓	19.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Compiler

Compiled 145 to 106 computations (26.9% saved)

regimes86.0ms (1.3%)

Counts

42 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)) x)
(copysign.f32 (neg.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) (+.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))) x)
(copysign.f32 (log1p.f32 (+.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -2)))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (-.f32 (-.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1) x)
(copysign.f32 (-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1) x)
(copysign.f32 (log1p.f32 (+.f32 x (/.f32 (*.f32 x x) (+.f32 1 (hypot.f32 1 x))))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))) 1) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (log.f32 (log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (log.f32 (pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) x)
(copysign.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
(copysign.f32 (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) x)
(copysign.f32 (log1p.f32 (+.f32 x (expm1.f32 (log1p.f32 (+.f32 (hypot.f32 1 x) -1))))) x)
(copysign.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3) x)
(copysign.f32 (pow.f32 (sqrt.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (expm1.f32 (log1p.f32 (hypot.f32 1 x))))) x)
(copysign.f32 (*.f32 (log.f32 (hypot.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x))) 2) x)
(copysign.f32 (+.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/2) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (log.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (-.f32 x (hypot.f32 1 x)))))) x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)) x)
(copysign.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) 2) x)
(copysign.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (+.f32 (-.f32 (+.f32 1 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) 1) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)) x)
(copysign.f32 (log.f32 (fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)) x)
(copysign.f32 (*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1) x)
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))) x)
(copysign.f32 (+.f32 (+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) x)

Outputs
(copysign.f32 (log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)) x)
(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)

Calls

2 calls:

37.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
34.0ms	x

Results

Error	Segments	Branch
0.5b	2	`x`
0.5b	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 604 to 435 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.850893259048462	-0.03478866443037987

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes15.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)

Outputs
(copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x)
(copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 58 to 39 computations (32.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-3.10420298576355	-0.03479573130607605

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total -15.6b remaining (-129.7%)

Threshold costs -15.6b (-129.7%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)

Outputs
(copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
12.1b	2	`x`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-3.10420298576355	-0.03479573130607605

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary32`
3×	`sub-neg_binary32`
1×	`*-commutative_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	129
1	43	129
2	47	129
3	49	129
4	50	129

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1) (copysign.f32 (log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x))
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1) (copysign.f32 (log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1)) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1) (copysign.f32 (log1p.f32 (+.f32 (-.f32 (hypot.f32 1 x) x) -1)) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 -1 (hypot.f32 1 x)))) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1) (copysign.f32 (log1p.f32 (+.f32 -1 (-.f32 (hypot.f32 1 x) x))) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 -1 (hypot.f32 1 x)))) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 -1 (hypot.f32 1 x)))) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x))
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Compiler

Compiled 89 to 62 computations (30.3% saved)

soundness175.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

825×	`fma-def_binary32`
754×	`fma-neg_binary32`
581×	`distribute-rgt-in_binary32`
565×	`fma-def_binary32`
550×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1132
1	372	987
2	1392	790
3	7013	790
0	99	599
1	200	524
2	642	454
3	2714	454
4	7800	454

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 396 to 259 computations (34.6% saved)

end71.0ms (1.1%)

Compiler: Compiled 86 to 59 computations (31.4% saved)