Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.7s (40.6%)

Results

804.0ms	2118×	body	2048	valid
515.0ms	4585×	body	256	valid
297.0ms	1045×	body	1024	valid
98.0ms	508×	body	512	valid

Bogosity

preprocess127.0ms (3%)

Algorithm

2×	egg-herbie

Rules

1476×	`rational_best_oopsla_all_46_json_45_simplify-89`
1330×	`rational_best_oopsla_all_46_json_45_simplify-74`
1072×	`rational_best_oopsla_all_46_json_45_simplify-24`
802×	`rational_best_oopsla_all_46_json_45_simplify-7`
664×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	21	35
2	39	35
3	94	35
4	352	35
5	2049	35
6	7500	35
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs

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

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

(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify129.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1476×	`rational_best_oopsla_all_46_json_45_simplify-89`
1330×	`rational_best_oopsla_all_46_json_45_simplify-74`
1072×	`rational_best_oopsla_all_46_json_45_simplify-24`
802×	`rational_best_oopsla_all_46_json_45_simplify-7`
664×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	21	35
2	39	35
3	94	35
4	352	35
5	2049	35
6	7500	35

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))

eval1.0ms (0%)

Compiler: Compiled 37 to 34 computations (8.1% 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

15.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))
✓	0.0b	(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
✓	0.0b	(/.f64 1 (hypot.f64 1 x))
✓	2.6b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))

Compiler

Compiled 51 to 44 computations (13.7% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite91.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational_best_oopsla_all_46_json-2`
1462×	`rational_best_oopsla_all_46_json-1`
1462×	`rational_best_oopsla_all_46_json-4`
1462×	`rational_best_oopsla_all_46_json-3`
1088×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	102
1	71	102
2	167	102
3	609	102
4	3087	102

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 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-1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 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simplify158.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational_best_oopsla_all_46_json_45_simplify-89`
1092×	`rational_best_oopsla_all_46_json_45_simplify-24`
1006×	`rational_best_oopsla_all_46_json_45_simplify-74`
774×	`rational_best_oopsla_all_46_json_45_simplify-35`
622×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	6374
1	1488	6374
2	6470	6374

Stop Event

1×	node limit

Counts

194 → 250

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1))
(+.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) 0)
(+.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(+.f64 0 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(+.f64 (.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1) 1)
(.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) 1)
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 1 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1) (/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1) (/.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))))
(.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1) -1)
(.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))))
(.f64 -1 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1))
(.f64 -1 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))) (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) -1))
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(+.f64 (.f64 0 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(+.f64 (.f64 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2) -1) 1/2)
(.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) 1)
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 1 (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 -1 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (.f64 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (neg.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))))
(.f64 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) -1)
(.f64 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (neg.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 -1 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(.f64 -1 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (+.f64 -1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
(.f64 (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(.f64 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(.f64 (neg.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(/.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) 1)
(/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
(/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(/.f64 (+.f64 -1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) -1)
(neg.f64 (+.f64 -1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))))))
(+.f64 1 (-.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))))
(+.f64 (-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 1 (.f64 (pow.f64 x 4) 3/8)))
(+.f64 (.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 1 (.f64 (pow.f64 x 4) 3/8))) (*.f64 (pow.f64 x 6) -5/16))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 6) -5/16) (*.f64 (pow.f64 x 4) 3/8))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 3/8) (*.f64 (pow.f64 x 6) -5/16))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 x) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (-.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -1/8))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 (pow.f64 x 4) 11/128)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) -1/8) (+.f64 1 (+.f64 (.f64 (pow.f64 x 6) -69/1024) (*.f64 (pow.f64 x 4) 11/128))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/8) (+.f64 (.f64 (pow.f64 x 4) 11/128) (*.f64 (pow.f64 x 6) -69/1024))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
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(.f64 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) -1)
(+.f64 1/2 (neg.f64 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))))
(.f64 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (neg.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(.f64 (+.f64 -1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (neg.f64 (/.f64 (-.f64 1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (-.f64 1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))))))
(.f64 (+.f64 -1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (neg.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))) 1/2) (-.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))) 1/2))))
(.f64 -1 (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(+.f64 1/2 (neg.f64 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))))
(.f64 -1 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (+.f64 -1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
(.f64 (/.f64 (-.f64 1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (-.f64 1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))) (+.f64 1/2 (neg.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))) 1/2) (-.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) (+.f64 1/2 (neg.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(-.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(.f64 (.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(-.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(.f64 (neg.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))) (+.f64 -1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(.f64 (+.f64 -1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (neg.f64 (/.f64 (-.f64 1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (-.f64 1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))))))
(.f64 (+.f64 -1/2 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))) (neg.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))) 1/2) (-.f64 (.f64 -1/2 (/.f64 1 (hypot.f64 1 x))) 1/2))))
(/.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) 1)
(-.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
(-.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (/.f64 (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))) (/.f64 (-.f64 1/2 (.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))))
(-.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 -1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)) -1)
(+.f64 1/2 (neg.f64 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))))
(neg.f64 (+.f64 -1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)))
(+.f64 1/2 (neg.f64 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))))

eval163.0ms (3.8%)

Compiler: Compiled 8298 to 7524 computations (9.3% saved)

prune36.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	244	6	250
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	244	7	251

Error

0.5b

Counts

251 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.6b	(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
✓	15.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
▶	32.2b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
▶	32.1b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
▶	31.2b	(-.f64 1 (sqrt.f64 1/2))
	32.4b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
▶	31.8b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 123 to 110 computations (10.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite87.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational_best_oopsla_all_46_json_45_simplify-35`
816×	`rational_best_oopsla_all_46_json_45_simplify-13`
766×	`rational_best_oopsla_all_46_json_45_simplify-23`
766×	`rational_best_oopsla_all_46_json_45_simplify-37`
756×	`rational_best_oopsla_all_46_json_45_simplify-36`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	36	11
2	72	11
3	225	11
4	1007	11
5	5837	11

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))

Outputs
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Outputs

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egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 1/2) -1))))))

simplify102.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational_best_oopsla_all_46_json_45_simplify-72`
1178×	`rational_best_oopsla_all_46_json_45_simplify-49`
882×	`rational_best_oopsla_all_46_json_45_simplify-23`
736×	`rational_best_oopsla_all_46_json_45_simplify-35`
546×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1052
1	495	1020
2	4211	1020

Stop Event

1×	node limit

Counts

64 → 66

Calls

Call 1

Inputs
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) 0)
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 0 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 0 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (sqrt.f64 1/2)))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(+.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (.f64 0 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 0 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))
(+.f64 (.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(+.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) (neg.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) -1) (/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) -1) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(*.f64 (+.f64 (sqrt.f64 1/2) -1) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (+.f64 (sqrt.f64 1/2) -1) (.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (+.f64 (sqrt.f64 1/2) -1) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (+.f64 (sqrt.f64 1/2) -1) (.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))
(.f64 (.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))
(*.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(/.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(/.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))

Outputs
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) 0)
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 0 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 0 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (sqrt.f64 1/2)))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
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(-.f64 1 (sqrt.f64 1/2))
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(+.f64 (.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
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(+.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
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(-.f64 1 (sqrt.f64 1/2))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
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(*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) (neg.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) -1) (/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) -1) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (+.f64 (sqrt.f64 1/2) -1) (.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (+.f64 (sqrt.f64 1/2) -1) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1 (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (+.f64 (sqrt.f64 1/2) -1) (.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))

localize5.0ms (0.1%)

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational_best_oopsla_all_46_json_45_simplify-23`
922×	`rational_best_oopsla_all_46_json_45_simplify-89`
864×	`rational_best_oopsla_all_46_json-2`
864×	`rational_best_oopsla_all_46_json-1`
864×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	56	25
2	119	17
3	389	13
4	1687	13

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (*.f64 -1/8 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 -1/8 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 0 (*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -1/8 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1/8)))) (#(struct:change #<rule egg-rr> 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(*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) (*.f64 -1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 (*.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2))))) (*.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/8 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (*.f64 (*.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2)))) (*.f64 (*.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/8 (pow.f64 x 2)))))))

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational_best_oopsla_all_46_json_45_simplify-23`
1372×	`rational_best_oopsla_all_46_json_45_simplify-49`
1194×	`rational_best_oopsla_all_46_json_45_simplify-89`
992×	`rational_best_oopsla_all_46_json_45_simplify-74`
910×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	1684
1	990	1682
2	3667	1632

Stop Event

1×	node limit

Counts

114 → 109

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 1 (-.f64 -1 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 2) 1/8) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/8))
(+.f64 -1 (-.f64 1 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (-.f64 0 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 x 2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(+.f64 (-.f64 -1 (*.f64 -1/8 (pow.f64 x 2))) 1)
(+.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 2))) -1)
(.f64 1 (.f64 (pow.f64 x 2) 1/8))
(*.f64 -1/8 (neg.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 1/8)
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/8))
(.f64 (pow.f64 x 2) (.f64 1/8 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 -1 (*.f64 (pow.f64 x 2) (/.f64 -1/8 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 -1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (neg.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 1/8 (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (neg.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (.f64 -1 (.f64 (pow.f64 x 2) (/.f64 -1/8 (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) -1)
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (*.f64 -1/8 (pow.f64 x 2)))))
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(.f64 (.f64 -1/8 (pow.f64 x 2)) (-.f64 0 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2))))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (-.f64 0 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 (pow.f64 x 2) 1/8) 1)
(.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2)))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 x 2) 1/8))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (.f64 (pow.f64 x 2) 1/8))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/8))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 2) 1/8))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))
(.f64 -1 (.f64 -1/8 (pow.f64 x 2)))
(.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) -1)))
(.f64 -1 (.f64 (pow.f64 x 2) (/.f64 (neg.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) -1)))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/8))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (*.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 2) 1/8))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
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(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (+.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (+.f64 0 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
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(*.f64 1/8 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -1/8)
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/8))
(.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (*.f64 (pow.f64 x 2) 1/8))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/8) (pow.f64 x 2))
(.f64 (.f64 1/8 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (.f64 1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (.f64 (pow.f64 x 2) 1/8))
(.f64 (.f64 -1 (*.f64 (pow.f64 x 2) (/.f64 -1/8 (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (pow.f64 x 2))
(.f64 (.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (.f64 (pow.f64 x 2) 1/8))
(.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 2) 1/8))) (*.f64 (pow.f64 x 2) 1/8))
(.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))
(.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (.f64 -1/8 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (.f64 (pow.f64 x 2) 1/8))
(/.f64 (*.f64 -1/8 (pow.f64 x 2)) -1)
(/.f64 (*.f64 (pow.f64 x 2) 1/8) 1)
(/.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2))))))
(neg.f64 (*.f64 -1/8 (pow.f64 x 2)))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 1 (-.f64 -1 (*.f64 -1/8 (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 1/8) 0)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 0 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 -1/8 (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (-.f64 0 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 x 2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (neg.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (+.f64 1 (.f64 (pow.f64 x 2) -1/8)))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 (pow.f64 x 2) -1/8)) (neg.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (neg.f64 (/.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 2) -1/8))))))
(+.f64 (-.f64 -1 (*.f64 -1/8 (pow.f64 x 2))) 1)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 2))) -1)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1 (.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -1/8 (neg.f64 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 1/8 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 -1 (*.f64 (pow.f64 x 2) (/.f64 -1/8 (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 -1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (neg.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 1/8 (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (neg.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (.f64 -1 (.f64 (pow.f64 x 2) (/.f64 -1/8 (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) -1)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (-.f64 (/.f64 0 (.f64 -1/8 (pow.f64 x 2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (-.f64 0 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (-.f64 0 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 (.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) 1)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (.f64 (pow.f64 x 2) 1/8))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/8))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 2) 1/8))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 -1 (.f64 -1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) -1)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (/.f64 (neg.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) -1)))
(.f64 (pow.f64 x 2) (.f64 -1 (neg.f64 (neg.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))
(.f64 -1 (.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (-.f64 (pow.f64 x 2) 0)))
(neg.f64 (-.f64 (.f64 0 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (*.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (+.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (+.f64 0 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (-.f64 0 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (-.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (neg.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))))
(-.f64 0 (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 (pow.f64 x 2) -1/8)) (.f64 -1 (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -1/8)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/8) (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 1/8 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 1/8 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (.f64 -1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1 (*.f64 (pow.f64 x 2) (/.f64 -1/8 (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 -1 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (.f64 -1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 2) 1/8))) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 -1 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))) (.f64 -1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2))))) (.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 -1/8 (pow.f64 x 2)) -1)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/8) 1)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4)) (/.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/8) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/8) (/.f64 (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (.f64 -1/8 (pow.f64 x 2)))) (.f64 (.f64 -1/8 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 1/8 (pow.f64 x 2))
(neg.f64 (*.f64 -1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
✓	0.5b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))

Compiler

Compiled 39 to 33 computations (15.4% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`rational_best_oopsla_all_46_json-2`
1348×	`rational_best_oopsla_all_46_json-1`
1348×	`rational_best_oopsla_all_46_json-4`
1348×	`rational_best_oopsla_all_46_json-3`
1000×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	71	52
2	161	52
3	572	52
4	2894	52

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (*.f64 0 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) -1) (+.f64 (*.f64 0 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (*.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (*.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (*.f64 1 (*.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) 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-1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))))

simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best_oopsla_all_46_json_45_simplify-49`
1058×	`rational_best_oopsla_all_46_json_45_simplify-108`
938×	`rational_best_oopsla_all_46_json_45_simplify-72`
642×	`rational_best_oopsla_all_46_json_45_simplify-82`
606×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	3003
1	644	2851
2	3128	2851

Stop Event

1×	node limit

Counts

89 → 95

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(+.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) -1))
(+.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) 0)
(+.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 0 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(+.f64 0 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) -1) 1)
(+.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) -1) (+.f64 (.f64 0 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))) 1))
(+.f64 (.f64 0 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(.f64 -1 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(.f64 -1 (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) 1)
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 1 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))
(.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))
(.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 -1 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))))
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(.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) -1)
(.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (neg.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(.f64 (.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(.f64 (neg.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) 1)
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) -1)
(neg.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) 0)
(+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 0 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(+.f64 (.f64 0 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))
(-.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) 1)
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) -1)
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) 1)
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))) (-.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))) (-.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
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(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(+.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))) -1)
(+.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(neg.f64 (+.f64 -1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(+.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) 0)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 0 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(+.f64 (.f64 0 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(-.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) 0)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) -1)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))))) (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2)))

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
✓	0.5b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite103.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best_oopsla_all_46_json-2`
1358×	`rational_best_oopsla_all_46_json-1`
1358×	`rational_best_oopsla_all_46_json-4`
1358×	`rational_best_oopsla_all_46_json-3`
1014×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	66	52
2	156	52
3	572	52
4	2918	52

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) (*.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (-.f64 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(/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))))

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational_best_oopsla_all_46_json_45_simplify-72`
1232×	`rational_best_oopsla_all_46_json_45_simplify-49`
1066×	`rational_best_oopsla_all_46_json_45_simplify-23`
718×	`rational_best_oopsla_all_46_json_45_simplify-35`
570×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2822
1	627	2822
2	4091	2822

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1))
(+.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) 0)
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(+.f64 0 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(+.f64 (.f64 0 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1) 1)
(.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) 1)
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(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 1 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))))
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(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
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(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1) -1)
(.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))))
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(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))))
(.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1) (/.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))))
(.f64 -1 (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1))
(.f64 -1 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) -1)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(.f64 (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))) (+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) -1))
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))) 1)
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(/.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) -1) -1)
(neg.f64 (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) -1))
(+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) 0)
(+.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 0 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(+.f64 0 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(+.f64 (.f64 0 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))
(-.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) 1)
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 1 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) -1)
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) 1)
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(+.f64 1 (-.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(+.f64 1 (-.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (-.f64 (sqrt.f64 1/2) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))) (-.f64 (sqrt.f64 1/2) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 1/2) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (-.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (-.f64 (sqrt.f64 1/2) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
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(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) -1)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))) (neg.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))) 1)
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2)))) (/.f64 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2)))

eval210.0ms (4.9%)

Compiler: Compiled 10350 to 9304 computations (10.1% saved)

prune49.0ms (1.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	360	7	367

Error

0.5b

Counts

367 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.6b	(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
✓	15.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
✓	32.2b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
✓	32.1b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
✓	31.2b	(-.f64 1 (sqrt.f64 1/2))
▶	32.4b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
✓	31.8b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 68 to 61 computations (10.3% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -11/128 (pow.f64 x 4))
✓	15.8b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series1.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	inf	(*.f64 -11/128 (pow.f64 x 4))
0.0ms	x	@	0	(*.f64 -11/128 (pow.f64 x 4))
0.0ms	x	@	-inf	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`rational_best_oopsla_all_46_json_45_simplify-23`
1680×	`rational_best_oopsla_all_46_json_45_simplify-13`
1058×	`rational_best_oopsla_all_46_json-2`
1058×	`rational_best_oopsla_all_46_json-1`
1058×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	67	44
2	140	44
3	434	44
4	2028	44

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))

Outputs

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(pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 11/128) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 4) 11/128))))))

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best_oopsla_all_46_json_45_simplify-36`
1062×	`rational_best_oopsla_all_46_json_45_simplify-49`
694×	`rational_best_oopsla_all_46_json_45_simplify-89`
672×	`rational_best_oopsla_all_46_json_45_simplify-13`
594×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3088
1	755	3066
2	4157	3040

Stop Event

1×	node limit

Counts

82 → 107

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8))
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) 0)
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 0 (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))))
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) 0))
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(-.f64 0 (-.f64 (.f64 (pow.f64 x 4) 11/128) (.f64 1/8 (pow.f64 x 2))))
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(-.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (.f64 (pow.f64 x 2) -1/8)))
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(-.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))))) (.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (.f64 (pow.f64 x 2) -1/8)))
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(.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)) 1)
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(.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (+.f64 0 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))))))
(.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128))))))
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(.f64 (-.f64 (.f64 (pow.f64 x 4) 11/128) (*.f64 1/8 (pow.f64 x 2))) -1)
(.f64 (-.f64 (.f64 (pow.f64 x 4) 11/128) (.f64 1/8 (pow.f64 x 2))) (neg.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 4) 11/128) (*.f64 1/8 (pow.f64 x 2))))
(.f64 -1 (+.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 4) 11/128)))
(.f64 -1 (+.f64 (.f64 (pow.f64 x 4) 11/128) (*.f64 (pow.f64 x 2) -1/8)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (-.f64 (.f64 (pow.f64 x 4) 11/128) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) 1)
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))))))
(neg.f64 (-.f64 (.f64 (pow.f64 x 4) 11/128) (.f64 1/8 (pow.f64 x 2))))
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(+.f64 0 (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) 0))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4)))) 0))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (*.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) 0))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (*.f64 -11/128 (pow.f64 x 4)))) 0))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 0 (.f64 -11/128 (pow.f64 x 4)))))
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(-.f64 (.f64 0 (neg.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))))) (.f64 (neg.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))) (*.f64 -11/128 (pow.f64 x 4))))
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(-.f64 (.f64 0 (neg.f64 (pow.f64 x 4))) (.f64 (neg.f64 (pow.f64 x 4)) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(-.f64 (.f64 0 (.f64 (pow.f64 x 4) 11/128)) (.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 (.f64 0 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4)))) (.f64 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (neg.f64 (pow.f64 x 4))))
(-.f64 (.f64 0 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4))))) (.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4)))) (*.f64 (pow.f64 x 4) 11/128)))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (neg.f64 (pow.f64 x 4))))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))))) (.f64 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))) (*.f64 (pow.f64 x 4) 11/128)))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))) (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4)))) (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (*.f64 (pow.f64 x 4) 11/128) -1)
(neg.f64 (*.f64 (pow.f64 x 4) 11/128))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8))
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) 0)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 0 (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) 0))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) 0))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
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(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 0 (-.f64 (.f64 (pow.f64 x 4) 11/128) (.f64 1/8 (pow.f64 x 2))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (.f64 (pow.f64 x 4) 11/128)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
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(.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (-.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1/8)))
(.f64 (-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128))))
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(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))))) (.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))) (.f64 (pow.f64 x 2) -1/8)))
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(.f64 (-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)))))
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(.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (neg.f64 (.f64 -11/128 (pow.f64 x 4))) -1)
(-.f64 (.f64 0 (neg.f64 (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (neg.f64 (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 0 (neg.f64 (pow.f64 x 4))) (.f64 (neg.f64 (pow.f64 x 4)) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 0 (.f64 (pow.f64 x 4) 11/128)) (.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))))
(.f64 (.f64 (pow.f64 x 4) 11/128) (neg.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))))
(.f64 (.f64 (pow.f64 x 4) 11/128) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 4) -11/64))))
(-.f64 (.f64 0 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4)))) (.f64 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (neg.f64 (pow.f64 x 4))))
(-.f64 0 (.f64 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (neg.f64 (pow.f64 x 4))))
(.f64 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) 0))
(-.f64 (.f64 0 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4))))) (.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4)))) (*.f64 (pow.f64 x 4) 11/128)))
(.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4)))) (neg.f64 (*.f64 (pow.f64 x 4) 11/128)))
(.f64 (neg.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4))))) (*.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (neg.f64 (pow.f64 x 4))))
(.f64 (.f64 -11/128 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (-.f64 0 (neg.f64 (pow.f64 x 4))))
(.f64 (.f64 -11/128 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (-.f64 (pow.f64 x 4) 0))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))))) (.f64 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))) (*.f64 (pow.f64 x 4) 11/128)))
(.f64 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))) (neg.f64 (*.f64 (pow.f64 x 4) 11/128)))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 4) -11/64)) (/.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 4) -11/64))) (neg.f64 (*.f64 (pow.f64 x 4) 11/128)))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 4) -11/64)))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 4) -11/64)) (/.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 4) -11/64))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4)))) (.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -11/128 (pow.f64 x 4))) (/.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 4) -11/64)) (/.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 4) -11/64))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (.f64 -11/128 (pow.f64 x 4)))) (.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 1 (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) (/.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 -11/128 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 -11/128 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 -11/128 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 11/128 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 11/128 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (.f64 -11/128 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) -11/64)) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) -11/64))))
(/.f64 (*.f64 (pow.f64 x 4) 11/128) -1)
(neg.f64 (*.f64 (pow.f64 x 4) 11/128))
(neg.f64 (*.f64 (pow.f64 x 4) 11/128))

eval85.0ms (2%)

Compiler: Compiled 4178 to 3470 computations (16.9% saved)

prune17.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	107	7	114

Error

0.5b

Counts

114 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.6b	(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
✓	15.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))
✓	32.2b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
✓	32.1b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
✓	31.2b	(-.f64 1 (sqrt.f64 1/2))
✓	32.4b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
✓	31.8b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 68 to 61 computations (10.3% saved)

regimes48.0ms (1.1%)

Counts

8 → 2

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2))))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Calls

7 calls:

13.0ms	x
10.0ms	(/.f64 1 (hypot.f64 1 x))
6.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
5.0ms	(hypot.f64 1 x)
4.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 128 to 113 computations (11.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000040551	1.2432773012947127

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes16.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 52 to 45 computations (13.5% saved)

bsearch34.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.7387411237467859	4.855852449906859
23.0ms	-124392.26233842915	-1.4015067726664283e-8

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 417 to 367 computations (12% saved)

regimes15.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 41 to 36 computations (12.2% saved)

bsearch35.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.7387411237467859	4.855852449906859
20.0ms	-124392.26233842915	-1.4015067726664283e-8

Results

31.0ms

256×

body

256

valid

Compiler

Compiled 321 to 287 computations (10.6% saved)

regimes11.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 -1 x) -1/2))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 31 to 27 computations (12.9% saved)

bsearch35.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.7387411237467859	4.855852449906859
23.0ms	-124392.26233842915	-1.4015067726664283e-8

Results

31.0ms

256×

body

256

valid

Compiler

Compiled 285 to 257 computations (9.8% saved)

regimes13.0ms (0.3%)

Accuracy

Total -60.8b remaining (-5001.4%)

Threshold costs -60.8b (-5001.4%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch34.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.7387411237467859	4.855852449906859
22.0ms	-124392.26233842915	-1.4015067726664283e-8

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 225 to 207 computations (8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	412

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (if (<=.f64 x 5494391545392005/4503599627370496) (.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (if (<=.f64 x 3422735716801577/2251799813685248) (.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3422735716801577/2251799813685248) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))

Outputs
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 1 x) -1/2))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (if (<=.f64 x 5494391545392005/4503599627370496) (.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (-.f64 1/2 (*.f64 (/.f64 1 x) -1/2))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (.f64 (/.f64 -1 x) -1/2)))) (if (<=.f64 x 3422735716801577/2251799813685248) (.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3422735716801577/2251799813685248) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 159 to 137 computations (13.8% saved)

soundness161.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1476×	`rational_best_oopsla_all_46_json_45_simplify-89`
1330×	`rational_best_oopsla_all_46_json_45_simplify-74`
1072×	`rational_best_oopsla_all_46_json_45_simplify-24`
802×	`rational_best_oopsla_all_46_json_45_simplify-7`
664×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	21	35
2	39	35
3	94	35
4	352	35
5	2049	35
6	7500	35

Stop Event

1×	node limit

Compiler

Compiled 156 to 145 computations (7.1% saved)

end90.0ms (2.1%)

Compiler: Compiled 154 to 132 computations (14.3% saved)

Details

analyze0.0ms (0%)

sample1.7s (40.6%)

preprocess127.0ms (3%)

simplify129.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize21.0ms (0.5%)

series3.0ms (0.1%)

rewrite91.0ms (2.1%)

simplify158.0ms (3.7%)

eval163.0ms (3.8%)

prune36.0ms (0.8%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite87.0ms (2.1%)

simplify102.0ms (2.4%)

localize5.0ms (0.1%)

localize11.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (1.5%)

simplify85.0ms (2%)

localize15.0ms (0.4%)

series2.0ms (0%)

rewrite75.0ms (1.8%)

simplify88.0ms (2.1%)

localize16.0ms (0.4%)

series1.0ms (0%)

rewrite103.0ms (2.4%)

simplify96.0ms (2.3%)

eval210.0ms (4.9%)

prune49.0ms (1.2%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite67.0ms (1.6%)

simplify100.0ms (2.4%)

eval85.0ms (2%)

prune17.0ms (0.4%)

regimes48.0ms (1.1%)

bsearch0.0ms (0%)

regimes16.0ms (0.4%)

bsearch34.0ms (0.8%)

regimes15.0ms (0.4%)

bsearch35.0ms (0.8%)

regimes11.0ms (0.3%)

bsearch35.0ms (0.8%)

regimes13.0ms (0.3%)

bsearch34.0ms (0.8%)

simplify7.0ms (0.2%)

soundness161.0ms (3.8%)

end90.0ms (2.1%)

Profiling