Details

analyze120.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.1s (32.5%)

Results

1.6s	2544×	body	1024	valid
665.0ms	1306×	body	2048	valid
402.0ms	1262×	body	512	valid
375.0ms	3105×	body	256	valid
54.0ms	39×	body	4096	valid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

44.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (hypot.f64 1 x))
✓	2.9b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1952	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

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

Outputs

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

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval75.0ms (0.8%)

Compiler: Compiled 1894 to 1401 computations (26% saved)

prune27.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	126	11	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	12	138

Error

0.0b

Counts

138 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.0b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
	30.8b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
▶	30.6b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
▶	30.8b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	44.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶	47.1b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
	50.0b	(log.f64 (/.f64 -1/2 x))
	44.0b	(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
	46.2b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	44.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	46.8b	(log.f64 (+.f64 x x))
	29.4b	x

Compiler

Compiled 229 to 178 computations (22.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 5)
✓	0.0b	(*.f64 3/40 (pow.f64 x 5))
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	19.1b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series7.0ms (0.1%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 5)
1.0ms	x	@	inf	(pow.f64 x 5)
1.0ms	x	@	inf	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
0.0ms	x	@	0	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1000×	`distribute-rgt-in`
966×	`distribute-lft-in`
838×	`associate-*l/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	300	62
2	3761	62

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 x 5)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9/1600 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 5/2) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 10)) (cbrt.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 5) (pow.f64 (sqrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 5) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 5 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 5)))))))

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

860×	`associate-/r/`
746×	`associate-/l/`
742×	`associate-+r+`
722×	`associate-+l+`
712×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	9257
1	1013	8981
2	4497	8915

Stop Event

1×	node limit

Counts

143 → 197

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)) (.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 6) 1/36)) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/36) 3) (pow.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))
(/.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))
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(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 5))) 1)
(*.f64 (pow.f64 x 5) 1)
(*.f64 1 (pow.f64 x 5))
(*.f64 (pow.f64 x 5/2) (pow.f64 x 5/2))
(*.f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 (pow.f64 x 10)))
(*.f64 (cbrt.f64 (pow.f64 x 10)) (cbrt.f64 (pow.f64 x 5)))
(*.f64 (pow.f64 (sqrt.f64 x) 5) (pow.f64 (sqrt.f64 x) 5))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 5) (pow.f64 (cbrt.f64 x) 5))
(sqrt.f64 (pow.f64 x 10))
(log.f64 (exp.f64 (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 5))))
(cbrt.f64 (pow.f64 (pow.f64 x 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 5)))
(exp.f64 (*.f64 5 (log.f64 x)))
(exp.f64 (.f64 (.f64 5 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 5)))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (fma.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x (.f64 (pow.f64 x 3) 1/6)))
(-.f64 (.f64 (/.f64 (pow.f64 x 10) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) 9/1600) (fma.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x (.f64 (pow.f64 x 3) 1/6)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)))
(+.f64 (-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (fma.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x (.f64 (pow.f64 x 3) 1/6)))
(-.f64 (.f64 (/.f64 (pow.f64 x 10) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) 9/1600) (fma.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x (.f64 (pow.f64 x 3) 1/6)))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 6) 1/36)) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/1296) (.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 12) 1/1296 (.f64 (.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (neg.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)))))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/36) 3) (pow.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))) (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656) (pow.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/1296) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3)))) (-.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 6) 1/36)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6))) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) -1/36)) (.f64 (pow.f64 x 12) 1/1296))) (fma.f64 (pow.f64 (pow.f64 x 3) 6) 1/46656 (pow.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6))) 3)))
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(fabs.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)
(*.f64 3/40 (pow.f64 x 5))
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))
(*.f64 3/40 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 5))) 1)
(pow.f64 x 5)
(*.f64 (pow.f64 x 5) 1)
(pow.f64 x 5)
(*.f64 1 (pow.f64 x 5))
(pow.f64 x 5)
(*.f64 (pow.f64 x 5/2) (pow.f64 x 5/2))
(pow.f64 x 5)
(*.f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 (pow.f64 x 10)))
(*.f64 (cbrt.f64 (pow.f64 x 10)) (cbrt.f64 (pow.f64 x 5)))
(*.f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 (pow.f64 x 10)))
(*.f64 (pow.f64 (sqrt.f64 x) 5) (pow.f64 (sqrt.f64 x) 5))
(pow.f64 (sqrt.f64 x) 10)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 5) (pow.f64 (cbrt.f64 x) 5))
(sqrt.f64 (pow.f64 x 10))
(log.f64 (exp.f64 (pow.f64 x 5)))
(pow.f64 x 5)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 5))))
(pow.f64 x 5)
(cbrt.f64 (pow.f64 (pow.f64 x 5) 3))
(pow.f64 x 5)
(expm1.f64 (log1p.f64 (pow.f64 x 5)))
(pow.f64 x 5)
(exp.f64 (*.f64 5 (log.f64 x)))
(pow.f64 x 5)
(exp.f64 (.f64 (.f64 5 (log.f64 x)) 1))
(pow.f64 x 5)
(log1p.f64 (expm1.f64 (pow.f64 x 5)))
(pow.f64 x 5)

localize9.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	0.1b	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	0	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1614×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	180	15
2	2169	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1198×	`distribute-lft-in`
1068×	`distribute-rgt-in`
628×	`*-commutative`
552×	`associate-*r/`
538×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1136
1	242	1074
2	933	1006
3	3448	1006

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(+.f64 x (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	0.5b	(-.f64 (hypot.f64 1 x) x)
✓	2.9b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1874×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	187	53
2	2344	53

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))

Outputs

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

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

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

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
914×	`associate-*r/`
722×	`+-commutative`
698×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	3606
1	835	3258
2	3314	3258

Stop Event

1×	node limit

Counts

130 → 219

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (+.f64 -1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (+.f64 -1 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 0 x))
(+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(fabs.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(/.f64 (.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(+.f64 x (hypot.f64 1 x))
✓	2.9b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
	2.9b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`associate-*r/`
964×	`associate-*l/`
878×	`distribute-lft-in`
876×	`*-commutative`
334×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	220	17
2	3056	17

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

Outputs

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

simplify140.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/l*`
1288×	`associate-/r*`
1220×	`associate-*r/`
904×	`*-commutative`
710×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	7239
1	845	6949
2	3654	6931

Stop Event

1×	node limit

Counts

107 → 185

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 3))) (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))
(/.f64 1 (/.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1) (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3))) (-.f64 (+.f64 1 (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) 1) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) 1) (-.f64 (+.f64 1 (.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) -1) (*.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1))
(log.f64 (+.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 -1 (+.f64 x (+.f64 1 (hypot.f64 1 x)))))
(log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x 0)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval594.0ms (6.1%)

Compiler: Compiled 19002 to 14994 computations (21.1% saved)

prune240.0ms (2.5%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	789	9	798
Fresh	2	4	6
Picked	1	0	1
Done	1	4	5
Total	793	17	810

Error

0.0b

Counts

810 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
	44.0b	(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	60.4b	(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) -1/10077696) (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 3)) (.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 3) 3)) 1/46656) (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 6) (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))))
▶	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
▶	59.8b	(-.f64 (+.f64 1 x) 1)
	30.8b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
✓	30.6b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	30.8b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	47.1b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	43.5b	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
▶	13.4b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
	49.4b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
	50.0b	(log.f64 (/.f64 -1/2 x))
▶	46.2b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	44.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	46.8b	(log.f64 (+.f64 x x))
	29.4b	x

Compiler

Compiled 510 to 408 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	0.7b	(+.f64 x (-.f64 (hypot.f64 1 x) 1))
✓	1.8b	(-.f64 (hypot.f64 1 x) 1)

Compiler

Compiled 26 to 19 computations (26.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	0	(-.f64 (hypot.f64 1 x) 1)
0.0ms	x	@	inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	-inf	(-.f64 (hypot.f64 1 x) 1)

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
812×	`*-commutative`
672×	`unswap-sqr`
658×	`associate-*l/`
598×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	195	55
2	2557	49

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(-.f64 (hypot.f64 1 x) 1)
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) 0) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (+.f64 1 (sqrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2))) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (+.f64 (*.f64 x x) 0)) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (-.f64 0 (*.f64 x x))) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (+.f64 (*.f64 x x) 0) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))))))

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

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-r`
630×	`associate-l`
592×	`distribute-lft-in`
560×	`fma-def`
534×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	11470
1	1765	10628
2	7641	10628

Stop Event

1×	node limit

Counts

226 → 380

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(.f64 (+.f64 (.f64 x x) 0) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(*.f64 (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (+.f64 1 (sqrt.f64 (hypot.f64 1 x))))
(.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (+.f64 (.f64 x x) 0))
(.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 (*.f64 x x) 0)) (+.f64 (hypot.f64 1 x) -1))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (-.f64 0 (*.f64 x x))) (-.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (+.f64 (.f64 x x) 0) (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 (.f64 x x)) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))) (+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (*.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))) (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 x x) 2) (.f64 (hypot.f64 1 x) -1)) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (+.f64 (.f64 x x) 2) (.f64 (hypot.f64 1 x) -1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (-.f64 (+.f64 (.f64 x x) 2) (.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 x x) 0)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 (+.f64 (.f64 x x) 0))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (-.f64 (+.f64 (.f64 x x) 2) (*.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) 0)) (cbrt.f64 (+.f64 (.f64 x x) 0))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (.f64 x x) 0))))
(/.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (.f64 (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (.f64 (-.f64 (+.f64 (.f64 x x) 2) (.f64 (hypot.f64 1 x) -1)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) 1) (.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (*.f64 x x) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3) 1) (.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2)) (+.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3) 1) (.f64 (-.f64 (+.f64 (.f64 x x) 2) (.f64 (hypot.f64 1 x) -1)) (+.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x x)) 3) 1) (.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (.f64 x x) 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 3)) 1) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (.f64 x x) 0))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (.f64 x x) 0))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 x x) 0)) 1) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 3)) 1) 1) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 0)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) 0)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (.f64 (-.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 x x) 2))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) 1) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) 1) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -5/128 (pow.f64 x 8) (.f64 -1/8 (pow.f64 x 4)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1) (/.f64 1/16 (pow.f64 x 5)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 (/.f64 1/4 x) x)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 (/.f64 1/4 x) x)))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(.f64 (+.f64 (.f64 x x) 0) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(*.f64 (+.f64 1 (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (+.f64 1 (sqrt.f64 (hypot.f64 1 x))))
(+.f64 -1 (hypot.f64 1 x))
(.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (+.f64 (.f64 x x) 0))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 (*.f64 x x) 0)) (+.f64 (hypot.f64 1 x) -1))
(+.f64 -1 (hypot.f64 1 x))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (-.f64 0 (*.f64 x x))) (-.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 (.f64 x x) (neg.f64 (*.f64 x x))) (-.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 x (/.f64 (.f64 x (neg.f64 x)) x)) (-.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (fma.f64 x x 2) (hypot.f64 1 x)))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x)) (-.f64 (fma.f64 x x 2) (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (+.f64 (.f64 x x) 0) (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (.f64 x x) (hypot.f64 1 x)))
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(/.f64 (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (*.f64 x x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)) 2))
(fabs.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	1
2	1882	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1410×	`distribute-lft-in`
1220×	`fma-def`
1198×	`distribute-rgt-in`
640×	`associate-+r+`
542×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	421
1	228	379
2	1277	363

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`associate-*r/`
868×	`*-commutative`
660×	`unswap-sqr`
570×	`associate-*l/`
530×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	215	15
2	2614	15

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1720×	`associate-*r/`
1636×	`associate-/r*`
1432×	`associate-*l/`
588×	`associate-/l/`
474×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	5411
1	736	5003
2	3002	4659

Stop Event

1×	node limit

Counts

89 → 142

Calls

Call 1

Inputs
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 x))) (-.f64 1 (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 (*.f64 2 x)))
(-.f64 (/.f64 (.f64 4 (.f64 x x)) (fma.f64 2 x (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (+.f64 (*.f64 2 x) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(-.f64 (+.f64 (/.f64 1/2 x) (exp.f64 (log1p.f64 (*.f64 2 x)))) 1)
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))))
(.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))) (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))) (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))) (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (*.f64 x x)))) (fma.f64 2 x (/.f64 1/2 x)))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))) (-.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x)))))
(.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 1/4 (.f64 x x)) (.f64 (+.f64 (/.f64 1/2 x) (.f64 x -2)) (+.f64 (/.f64 1/2 x) (.f64 x -2)))))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))))
(.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (/.f64 -1 x))) 3))) (+.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (/.f64 -1 x))) (.f64 4 (*.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x)))) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x)))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))))) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 -4 (.f64 x x))) (+.f64 (/.f64 1/2 x) (.f64 x -2)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (-.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (+.f64 (.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (.f64 (*.f64 x x) (pow.f64 x -2))))))
(/.f64 (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (*.f64 x x)))) (neg.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 -4 (.f64 x x))) 1) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x)))) 1) (neg.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x)))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (-.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (+.f64 (.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (.f64 (*.f64 x x) (pow.f64 x -2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (-.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (*.f64 x x))) 1) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))) (.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (.f64 x x))) (+.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (/.f64 1/2 x)))) (-.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) 1) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (neg.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(neg.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 2 x))
(fma.f64 (/.f64 1 x) 1/2 (*.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (*.f64 2 x))

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	2.9b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)

Compiler

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`associate-*r/`
1250×	`associate-*l/`
934×	`*-commutative`
430×	`associate-+l+`
312×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	257	15
2	3415	15

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)

Outputs

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(log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-/l*`
1034×	`associate-/r*`
802×	`associate-*r/`
684×	`associate-+l-`
678×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	7700
1	893	7168
2	3918	7116

Stop Event

1×	node limit

Counts

140 → 191

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 0))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0))
(+.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1)
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x))
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) x)
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
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(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (sqrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (sqrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (cbrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))))) (cbrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 0))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 6) -1/36)) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)) (-.f64 (-.f64 -2 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 6) -1/36)) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)) (-.f64 (-.f64 -2 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 6) -1/36)) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)) (-.f64 (-.f64 -2 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)))
(/.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 6) -1/36)) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
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(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(+.f64 x (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 -1/6) (sqrt.f64 -1/6))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(+.f64 x (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
✓	3.6b	(-.f64 (hypot.f64 1 x) (-.f64 1 x))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	0	(-.f64 (hypot.f64 1 x) (-.f64 1 x))
0.0ms	x	@	inf	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	inf	(-.f64 (hypot.f64 1 x) (-.f64 1 x))
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-*r/`
842×	`*-commutative`
740×	`associate-*l/`
650×	`distribute-lft-in`
628×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	194	42
2	2551	42

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

Inputs
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))

Outputs

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

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-+l-`
1220×	`associate-+r-`
678×	`associate--r+`
612×	`fma-def`
594×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	9645
1	1265	8779
2	5852	8629

Stop Event

1×	node limit

Counts

161 → 284

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 1 (-.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 (+.f64 (hypot.f64 1 x) -1) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 x (+.f64 (+.f64 (hypot.f64 1 x) -1) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 x (+.f64 (+.f64 (hypot.f64 1 x) -1) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 (+.f64 x -1) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (hypot.f64 1 x) (+.f64 (+.f64 x -1) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 (hypot.f64 1 x) (+.f64 (+.f64 x -1) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 0)
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 x (+.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 2 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (+.f64 x -1) (-.f64 1 x)) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(fma.f64 2 (-.f64 (-.f64 x 0) x) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
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(+.f64 x (+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 (+.f64 x -2) (-.f64 1 x))) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 x (+.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
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(+.f64 -1 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))))
(+.f64 (hypot.f64 1 x) (+.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 x (+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 (+.f64 x -2) (-.f64 1 x))) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 -1 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))))
(+.f64 (hypot.f64 1 x) (+.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 x (+.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 1 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) 1))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) 1))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)) 1))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 (hypot.f64 1 x) -1) x)
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(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 x (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
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(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x -1) (hypot.f64 1 x))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 x -1) (+.f64 (hypot.f64 1 x) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x -1) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
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(+.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 x -1) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 x 0) x)))
(+.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 (+.f64 x -1) 1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 1 (+.f64 (hypot.f64 1 x) -1)) (-.f64 x 1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 -1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (+.f64 x -1) 1 (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 x -2) (-.f64 1 x)))
(+.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 x -1) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
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(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (-.f64 x 0) x)))
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(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x x)) 3) (pow.f64 (pow.f64 (-.f64 1 x) 2) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x)))) (+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x x)) 3) (pow.f64 (pow.f64 (-.f64 1 x) 2) 3)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (fma.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3) (.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (fma.f64 x x (pow.f64 (-.f64 1 x) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (-.f64 1 x) 6)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (fma.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (fma.f64 x x (pow.f64 (-.f64 1 x) 2))) (pow.f64 (hypot.f64 1 x) 4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (-.f64 1 x) 6)) (.f64 (+.f64 1 (fma.f64 x x (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (-.f64 1 x) 6)) (+.f64 1 (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (*.f64 x x)))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (+.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 1 x) 3) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (.f64 (+.f64 1 (fma.f64 x x (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (hypot.f64 1 x) 6) (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (-.f64 1 x) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (+.f64 1 (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (*.f64 x x)))) (fma.f64 (pow.f64 (-.f64 1 x) 3) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (pow.f64 (hypot.f64 1 x) 6)))
(/.f64 (/.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) 1) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (/.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (/.f64 (+.f64 1 (-.f64 (.f64 x x) (pow.f64 (-.f64 1 x) 2))) (.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (fma.f64 x x (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (fma.f64 x x (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (fma.f64 x x (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))
(pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3)
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3) 1/3)
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(neg.f64 (/.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (-.f64 -1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (neg.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 -1 (neg.f64 (fma.f64 x x (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 -1 (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 (*.f64 (-.f64 1 x) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 x x 1)))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (exp.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(exp.f64 (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (+.f64 x -1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (+.f64 x -1))
(+.f64 1 (+.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))) 1)
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(*.f64 1 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(*.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 1)
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 2))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 1)
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 2)
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 3)
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3) 1/3)
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x)))) 2))
(fabs.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(fabs.f64 (log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (-.f64 x (neg.f64 (hypot.f64 1 x))))

eval788.0ms (8.1%)

Compiler: Compiled 27024 to 20476 computations (24.2% saved)

prune302.0ms (3.1%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1094	8	1102
Fresh	4	4	8
Picked	0	1	1
Done	1	7	8
Total	1099	20	1119

Error

Counts

1119 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
	30.0b	(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
	30.1b	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓	59.8b	(-.f64 (+.f64 1 x) 1)
	61.2b	(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
▶	59.8b	(+.f64 (+.f64 x -1) 1)
✓	30.8b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	30.0b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
	47.1b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	43.5b	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
▶	21.4b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	13.4b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
	26.1b	(log1p.f64 x)
	49.4b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶	50.0b	(log.f64 (/.f64 -1/2 x))
✓	46.2b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	44.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	46.8b	(log.f64 (+.f64 x x))
	29.4b	x

Compiler

Compiled 277 to 209 computations (24.5% saved)

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	0.7b	(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
✓	14.5b	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))

Compiler

Compiled 46 to 27 computations (41.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms	x	@	0	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms	x	@	-inf	(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
0.0ms	x	@	inf	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms	x	@	0	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-*l/`
1264×	`associate-/r*`
1114×	`associate-/l*`
1092×	`*-commutative`
496×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	91
1	238	91
2	3340	91

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) x)) (/.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))) 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simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

970×	`+-commutative`
796×	`associate-+l+`
626×	`associate-+l-`
570×	`associate-+r+`
458×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	10978
1	1376	9588
2	5402	9436

Stop Event

1×	node limit

Counts

188 → 332

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(.f64 (.f64 x x) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x)))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (hypot.f64 1 x))))
(.f64 (-.f64 1 (hypot.f64 1 x)) (/.f64 (.f64 x x) (*.f64 x (neg.f64 x))))
(.f64 (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))) (.f64 x x))
(.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)) (/.f64 x (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)) (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) (/.f64 x 1))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(.f64 (/.f64 1 (.f64 x (neg.f64 x))) (.f64 (.f64 x x) (-.f64 1 (hypot.f64 1 x))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (.f64 (.f64 x x) (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))
(.f64 (/.f64 (.f64 x x) (*.f64 x (neg.f64 x))) (-.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x)) (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 x))) (.f64 x (neg.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 (/.f64 (.f64 x x) 1) 1) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))))
(.f64 (/.f64 x (.f64 x (neg.f64 x))) (*.f64 x (-.f64 1 (hypot.f64 1 x))))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (.f64 x (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x))))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (sqrt.f64 x))
(.f64 (/.f64 (.f64 x (neg.f64 x)) (neg.f64 (*.f64 x (neg.f64 x)))) (-.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 (.f64 x (neg.f64 x)) (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) (-.f64 (hypot.f64 1 x) 1))
(.f64 (/.f64 (.f64 x x) (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 (.f64 x x) 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) 1))
(.f64 (/.f64 (/.f64 (.f64 x x) 1) (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(.f64 (/.f64 (/.f64 (.f64 x x) 1) (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x))))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)) (sqrt.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)) (sqrt.f64 (.f64 x (neg.f64 x)))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x))))
(.f64 (/.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x))))
(.f64 (/.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) 3)
(pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) -1)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) 1/3)
(neg.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(-.f64 (+.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (+.f64 x 1)) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) (-.f64 1 x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) x)) (/.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 1)
(-.f64 (+.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 1)
(*.f64 (hypot.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 x)) (hypot.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 2) (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 1 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (/.f64 1 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(.f64 (/.f64 1 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(*.f64 (/.f64 1 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) (+.f64 (*.f64 x x) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (-.f64 (pow.f64 x 4) (.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))) (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))) (+.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))) 3))) (-.f64 (+.f64 (pow.f64 x 4) (.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))) (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))) (.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 1 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (/.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))) (/.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))) (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) (/.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (sqrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) (/.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) (cbrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))) (/.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (cbrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))))) (/.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (*.f64 x x)) (-.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) (neg.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) (neg.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (.f64 x x)) 1) (-.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) 1) (neg.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) 1) (neg.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) (hypot.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 x))) (sqrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) (hypot.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 2)) (cbrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 2)) (cbrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (/.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) (/.f64 1 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (+.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) 3)) (/.f64 1 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (+.f64 (pow.f64 x 4) (+.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) (/.f64 -1 (-.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (/.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (/.f64 1 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))) (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) 3)) (/.f64 1 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3)) (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) 1) (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (sqrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (sqrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (.f64 (cbrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) (cbrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) (cbrt.f64 (-.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (+.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) 1) (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (sqrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x))))))) (sqrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))) 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))) (cbrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))) (cbrt.f64 (fma.f64 x x (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (pow.f64 x 3) (+.f64 1 (hypot.f64 1 x)))))))
(pow.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 1)
(pow.f64 (hypot.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(exp.f64 (log.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(fma.f64 (*.f64 x x) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))) x)
(fma.f64 1 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(fma.f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) x)
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(*.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (sqrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 2))
(log.f64 (+.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 -1 (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (fma.f64 x -1 (/.f64 -1/2 x)) -1)
(+.f64 -1 (-.f64 (/.f64 -1/2 x) x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x)) -1)
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (-.f64 (/.f64 -1/2 x) x)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/2 x))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
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(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 2))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 2)
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) 3)
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 3) 1/3)
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) 2))
(fabs.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(log.f64 (+.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (+.f64 x 1)))
(log.f64 (+.f64 (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))) (+.f64 x 1)))
(log.f64 (+.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 3))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(+.f64 (+.f64 x -1) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`add-sqr-sqrt`
1388×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1294×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	153	1
2	1955	1

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-/l*`
1216×	`associate-+r-`
878×	`*-commutative`
772×	`associate-/r*`
632×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	426
1	216	360
2	1134	360
3	7703	360

Stop Event

1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 2))
✓	0.0b	(*.f64 (+.f64 x 2) x)
✓	14.6b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`add-sqr-sqrt`
1958×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
1814×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	195	51
2	2503	51

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1748×	`associate-*l/`
1112×	`associate-/l/`
888×	`distribute-lft-in`
860×	`distribute-rgt-in`
708×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	191	1395
1	464	1343
2	1868	1343

Stop Event

1×	node limit

Counts

107 → 118

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x (-.f64 1 x)))
✓	0.0b	(*.f64 x (-.f64 1 x))
✓	14.5b	(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-/r*`
1118×	`*-commutative`
962×	`associate-/l*`
888×	`distribute-lft-in`
624×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	228	55
2	3231	51

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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

simplify194.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-r`
1504×	`associate-l`
1278×	`associate-/l*`
600×	`associate-*r/`
538×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	433	8100
1	1372	7350

Stop Event

1×	node limit

Counts

206 → 275

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

eval396.0ms (4.1%)

Compiler: Compiled 17523 to 12494 computations (28.7% saved)

prune201.0ms (2.1%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	765	4	769
Fresh	2	5	7
Picked	0	1	1
Done	2	10	12
Total	769	20	789

Error

Counts

789 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	45.7b	(/.f64 (*.f64 x x) x)
	29.1b	(/.f64 (*.f64 x 2) (-.f64 2 x))
✓	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓	59.8b	(-.f64 (+.f64 1 x) 1)
	61.2b	(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
✓	59.8b	(+.f64 (+.f64 x -1) 1)
✓	30.8b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	31.0b	(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
	28.7b	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
	47.1b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	43.5b	(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
✓	21.4b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	13.4b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
	26.1b	(log1p.f64 x)
	49.4b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	50.0b	(log.f64 (/.f64 -1/2 x))
✓	46.2b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	44.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	46.8b	(log.f64 (+.f64 x x))
	29.4b	x

Compiler

Compiled 163 to 124 computations (23.9% saved)

regimes58.0ms (0.6%)

Counts

34 → 2

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (+.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) -1/10077696) (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 3)) (.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 3) 3)) 1/46656) (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 6) (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))))

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

Calls

3 calls:

29.0ms	x
10.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.3b	2	`x`
7.6b	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.6b	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 434 to 325 computations (25.1% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-208.11321282536377	-0.04978260472470423

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 166 to 130 computations (21.7% saved)

regimes51.0ms (0.5%)

Counts

22 → 3

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Outputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
x
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 168 to 121 computations (28% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.5670573578152525e-9	32885.40387999236
18.0ms	-0.003880452288219077	-1.0332990855008808e-10

Results

33.0ms

304×

body

256

valid

Compiler

Compiled 281 to 220 computations (21.7% saved)

regimes34.0ms (0.3%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 160 to 115 computations (28.1% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	5.5670573578152525e-9	32885.40387999236
18.0ms	-0.003880452288219077	-1.0332990855008808e-10

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 272 to 211 computations (22.4% saved)

regimes40.0ms (0.4%)

Counts

20 → 3

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 153 to 110 computations (28.1% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.5670573578152525e-9	32885.40387999236
17.0ms	-208.11321282536377	-0.04978260472470423

Results

31.0ms

288×

body

256

valid

Compiler

Compiled 392 to 316 computations (19.4% saved)

regimes42.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

39.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 115 to 80 computations (30.4% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	5.5670573578152525e-9	32885.40387999236
15.0ms	-208.11321282536377	-0.04978260472470423

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 344 to 276 computations (19.8% saved)

regimes40.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 105 to 72 computations (31.4% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.5670573578152525e-9	32885.40387999236
16.0ms	-208.11321282536377	-0.04978260472470423

Results

31.0ms

288×

body

256

valid

Compiler

Compiled 284 to 216 computations (23.9% saved)

regimes34.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))

Outputs
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(log.f64 (+.f64 x x))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 98 to 67 computations (31.6% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	5.5670573578152525e-9	32885.40387999236
15.0ms	-208.11321282536377	-0.04978260472470423

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 356 to 270 computations (24.2% saved)

regimes42.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)
(log.f64 (+.f64 x x))

Outputs
(/.f64 (*.f64 x 2) (-.f64 2 x))
(log.f64 (+.f64 x x))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
12.5b	2	`x`

Compiler

Compiled 94 to 64 computations (31.9% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	5.5670573578152525e-9	32885.40387999236

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 164 to 120 computations (26.8% saved)

regimes32.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(log1p.f64 x)

Outputs
(/.f64 (*.f64 x 2) (-.f64 2 x))
(log1p.f64 x)

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
24.1b	2	`x`

Compiler

Compiled 90 to 62 computations (31.1% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	-1.438988203920149e-14	-3.7341308463100383e-16

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes24.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
27.0b	2	`x`

Compiler

Compiled 88 to 61 computations (30.7% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	5.5670573578152525e-9	32885.40387999236

Results

14.0ms

80×

body

256

valid

Compiler

Compiled 114 to 90 computations (21.1% saved)

regimes9.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
28.1b	2	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-208.11321282536377	-0.04978260472470423

Results

23.0ms

128×

body

256

valid

Compiler

Compiled 110 to 82 computations (25.5% saved)

regimes5.0ms (0%)

Accuracy

Total -31.0b remaining (-105.4%)

Threshold costs -31.0b (-105.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 x x) x)

Outputs
x

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
29.4b	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
20×	`*-commutative`
14×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	650
1	112	650
2	124	650
3	129	650
4	131	650

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1098878309078401/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -3010508632829399/295147905179352825856) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/4503599627370496) x (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -8028023020878397/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/4503599627370496) x (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 3/4) (/.f64 (*.f64 x 2) (-.f64 2 x)) (log.f64 (+.f64 x x)))
(if (<=.f64 x -6338253001141147/633825300114114700748351602688) (/.f64 (*.f64 x 2) (-.f64 2 x)) (log1p.f64 x))
(if (<=.f64 x 3022314549036573/302231454903657293676544) (/.f64 (.f64 x 2) (-.f64 2 x)) (.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))))
(if (<=.f64 x -4165829655317709/2251799813685248) (/.f64 (*.f64 x 2) (-.f64 2 x)) x)
x

Outputs
(if (<=.f64 x -1098878309078401/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -1098878309078401/18014398509481984) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -3010508632829399/295147905179352825856) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/4503599627370496) x (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -3010508632829399/295147905179352825856) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/4503599627370496) x (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -8028023020878397/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/4503599627370496) x (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -8028023020878397/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/4503599627370496) x (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 1 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (.f64 (.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 3/4) (/.f64 (*.f64 x 2) (-.f64 2 x)) (log.f64 (+.f64 x x)))
(if (<=.f64 x -6338253001141147/633825300114114700748351602688) (/.f64 (*.f64 x 2) (-.f64 2 x)) (log1p.f64 x))
(if (<=.f64 x 3022314549036573/302231454903657293676544) (/.f64 (.f64 x 2) (-.f64 2 x)) (.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))))
(if (<=.f64 x -4165829655317709/2251799813685248) (/.f64 (*.f64 x 2) (-.f64 2 x)) x)
x

Compiler

Compiled 259 to 191 computations (26.3% saved)

soundness96.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 189 to 126 computations (33.3% saved)

end176.0ms (1.8%)

Compiler: Compiled 248 to 176 computations (29% saved)