Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (44.9%)

Results

1.1s	8256×	body	256	valid
2.0ms	20×	body	256	invalid

Bogosity

preprocess211.0ms (8.6%)

Algorithm

2×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1166×	`rational_best_oopsla_all_46_json_45_simplify-89`
1034×	`rational_best_oopsla_all_46_json_45_simplify-74`
836×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	18	39
2	33	39
3	87	39
4	343	39
5	1518	39
6	5160	39
7	7171	39
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify208.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1166×	`rational_best_oopsla_all_46_json_45_simplify-89`
1034×	`rational_best_oopsla_all_46_json_45_simplify-74`
836×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	18	39
2	33	39
3	87	39
4	343	39
5	1518	39
6	5160	39
7	7171	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize19.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`rational_best_oopsla_all_46_json-2`
1254×	`rational_best_oopsla_all_46_json-1`
1254×	`rational_best_oopsla_all_46_json-4`
1254×	`rational_best_oopsla_all_46_json-3`
892×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	62	75
2	159	75
3	569	75
4	2553	75

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs
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simplify115.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1498×	`rational_best_oopsla_all_46_json_45_simplify-23`
1118×	`rational_best_oopsla_all_46_json_45_simplify-35`
856×	`rational_best_oopsla_all_46_json_45_simplify-89`
718×	`rational_best_oopsla_all_46_json_45_simplify-24`
664×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	4443
1	1012	4419
2	5417	4283

Stop Event

1×	node limit

Counts

139 → 188

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 0)
(-.f64 0 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
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(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))) (*.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (-.f64 (sqrt.f64 -1) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (sqrt.f64 -1)) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (.f64 -1 (sqrt.f64 -1))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (-.f64 (neg.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 x -1/2) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 x -1/2) (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (+.f64 (/.f64 1 x) (.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 x -1/2) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/2) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (-.f64 (sqrt.f64 -1) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))) (-.f64 (sqrt.f64 -1) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (-.f64 (neg.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (-.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (neg.f64 (sqrt.f64 -1))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (.f64 x (sqrt.f64 -1)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))) (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (.f64 (sqrt.f64 -1) (neg.f64 x)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (-.f64 (.f64 (sqrt.f64 -1) (neg.f64 x)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))))
(+.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))))
(+.f64 (.f64 (sqrt.f64 -1) (neg.f64 x)) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 0)
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 0 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
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(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 1 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 1 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval90.0ms (3.7%)

Compiler: Compiled 5937 to 4118 computations (30.6% saved)

prune23.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	4	189

Error

Counts

189 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(log.f64 (/.f64 2 x))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	0.6b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/2) (/.f64 1 x))))
▶	0.6b	(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize15.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite109.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`rational_best_oopsla_all_46_json-2`
1204×	`rational_best_oopsla_all_46_json-1`
1204×	`rational_best_oopsla_all_46_json-4`
1204×	`rational_best_oopsla_all_46_json-3`
956×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	59	25
2	143	25
3	524	25
4	2740	25
5	7840	25

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

simplify106.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational_best_oopsla_all_46_json_45_simplify-13`
1084×	`rational_best_oopsla_all_46_json_45_simplify-35`
870×	`rational_best_oopsla_all_46_json_45_simplify-7`
856×	`rational_best_oopsla_all_46_json_45_simplify-72`
500×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1376
1	344	1376
2	2520	1376
3	6838	1376

Stop Event

1×	node limit

Counts

50 → 45

Calls

Call 1

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

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

localize16.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 29 computations (27.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite114.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational_best_oopsla_all_46_json-2`
1206×	`rational_best_oopsla_all_46_json-1`
1206×	`rational_best_oopsla_all_46_json-4`
1206×	`rational_best_oopsla_all_46_json-3`
890×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	55	50
2	136	44
3	489	44
4	2521	44
5	7549	44

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -1/2) (/.f64 1 x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 x 1/2) (*.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 x) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (*.f64 0 (/.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2))))) (-.f64 (*.f64 x 1/2) (*.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 1 x) 2) (*.f64 0 (/.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2))))) (*.f64 x 1/2))))) 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simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational_best_oopsla_all_46_json_45_simplify-72`
1030×	`rational_best_oopsla_all_46_json_45_simplify-82`
972×	`rational_best_oopsla_all_46_json_45_simplify-23`
938×	`rational_best_oopsla_all_46_json_45_simplify-49`
822×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	2431
1	611	2399
2	4095	2399

Stop Event

1×	node limit

Counts

97 → 88

Calls

Call 1

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

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

localize5.0ms (0.2%)

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

eval71.0ms (2.9%)

Compiler: Compiled 4097 to 3242 computations (20.9% saved)

prune18.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	133	4	137

Error

Counts

137 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(log.f64 (/.f64 2 x))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.6b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/2) (/.f64 1 x))))
✓	0.6b	(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes12.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 69 to 50 computations (27.5% saved)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.4b remaining (-73%)

Threshold costs -0.4b (-73%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	114

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 43 to 33 computations (23.3% saved)

soundness0.0ms (0%)

end31.0ms (1.3%)

Compiler: Compiled 40 to 30 computations (25% saved)

Details

analyze4.0ms (0.2%)

sample1.1s (44.9%)

preprocess211.0ms (8.6%)

simplify208.0ms (8.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.8%)

series4.0ms (0.1%)

rewrite78.0ms (3.2%)

simplify115.0ms (4.7%)

eval90.0ms (3.7%)

prune23.0ms (1%)

localize15.0ms (0.6%)

series1.0ms (0%)

rewrite109.0ms (4.5%)

simplify106.0ms (4.3%)

localize16.0ms (0.7%)

series1.0ms (0%)

rewrite114.0ms (4.7%)

simplify79.0ms (3.3%)

localize5.0ms (0.2%)

eval71.0ms (2.9%)

prune18.0ms (0.7%)

regimes12.0ms (0.5%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end31.0ms (1.3%)

Profiling