Details

analyze189.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	74.9%	0.2%	0%	25%	0%	6
0%	0%	56.1%	0.2%	0%	43.7%	0%	7
0%	0%	42.1%	0.2%	0%	57.7%	0%	8
1.2%	0.4%	31.2%	0.2%	0%	68.2%	0%	9
2.2%	0.6%	25.7%	0.2%	0%	73.5%	0%	10
4%	0.9%	21.1%	0.2%	0%	77.9%	0%	11
7.2%	1.3%	17%	0.2%	0%	81.5%	0%	12

Compiler

Compiled 36 to 28 computations (22.2% saved)

sample12.7s (46.7%)

Results

6.6s	16039×	body	256	invalid
3.2s	4475×	body	512	valid
2.0s	1849×	body	1024	valid
898.0ms	1932×	body	256	valid

Bogosity

preprocess10.0ms (0%)

Algorithm

2×	egg-herbie

Rules

70×	`rational.json-simplify-1`
38×	`rational.json-simplify-41`
8×	`rational.json-simplify-17`
2×	`swap-x-t`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	693
1	65	693
2	92	693
3	98	693
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
0
3
0

Call 2

Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))

Symmetry

(sort x y z t)

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

70×	`rational.json-simplify-1`
40×	`rational.json-simplify-41`
8×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	99
1	34	99
2	47	99
3	59	99
4	77	99
5	93	99
6	95	99

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

eval2.0ms (0%)

Compiler: Compiled 159 to 103 computations (35.2% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

4.8b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Status

Error

Program

▶

4.8b

(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

▶

4.8b

(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Compiler

Compiled 70 to 54 computations (22.9% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	1.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
✓	4.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 134 to 82 computations (38.8% saved)

series7.0ms (0%)

Counts

4 → 4

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
1.0ms	y	@	-inf	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
1.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms	t	@	inf	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
1.0ms	z	@	inf	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

rewrite154.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`bool.json-1`
1502×	`bool.json-2`
1474×	`rational.json-1`
1474×	`rational.json-2`
1474×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	84
1	236	84
2	575	84
3	1159	84
4	2493	84
5	5305	84

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 t -1)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (-.f64 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))))

simplify217.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1890×	`rational.json-simplify-35`
1200×	`rational.json-simplify-42`
866×	`rational.json-simplify-51`
842×	`rational.json-simplify-45`
808×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	2220
1	366	2220
2	790	2220
3	1872	2220
4	3536	2220
5	4497	2220
6	5981	2220
7	6811	2220
8	7704	2220

Stop Event

1×	node limit

Counts

108 → 112

Calls

Call 1

Inputs
1
1
1
1
(+.f64 (sqrt.f64 (-.f64 y -1)) (neg.f64 (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(+.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (-.f64 y -1)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))) -1)
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1)
(*.f64 -1 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4))
(*.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1))) -1)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2) 2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 2) 2)
(/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1)))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1))))) 2)
(neg.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))
(+.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) -1)
(+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1)
(*.f64 -1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4))
(*.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))) -1)
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1/2) 2)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 2)
(/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z)))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))) 2)
(neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (-.f64 t -1)) (neg.f64 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))))
(+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (-.f64 t -1)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))) -1)
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1)
(*.f64 -1 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 2) 1/2)
(*.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))) -1)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1/2) 2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 2) 2)
(/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)) 4)) 8)
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(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))))) 2)
(neg.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (-.f64 t -1))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
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(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)
(*.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1/2) 2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2) 2)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))) 2)
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))

Outputs
1
1
1
1
(+.f64 (sqrt.f64 (-.f64 y -1)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))
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(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
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(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
(+.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (-.f64 y -1)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))) -1)
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2))
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(*.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1)
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(*.f64 -1 (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y -1))))
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(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 1/2))
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(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4))
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(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)) 4) 1/4)
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(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4) 4)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4)) 8)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 4))) 16)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

localize92.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
	4.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 142 to 87 computations (38.7% saved)

eval395.0ms (1.5%)

Compiler: Compiled 7694 to 4974 computations (35.4% saved)

prune73.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	223	3	226

Error

4.7b

Counts

226 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	21.7b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	4.9b	(+.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Status

Error

Program

✓

4.8b

(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

▶

21.7b

(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

▶

4.9b

(+.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Compiler

Compiled 103 to 81 computations (21.4% saved)

localize152.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
	4.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 163 to 105 computations (35.6% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2032×	`bool.json-1`
1480×	`rational.json-simplify-35`
1294×	`bool.json-2`
1252×	`rational.json-1`
1252×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	90	21
2	249	21
3	503	21
4	1035	21
5	2276	21
6	4821	21
7	7781	21

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) (.f64 (sqrt.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) (*.f64 (sqrt.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))

simplify370.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1994×	`rational.json-simplify-35`
1618×	`rational.json-simplify-1`
1358×	`rational.json-simplify-42`
1208×	`rational.json-simplify-2`
1190×	`rational.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	865
1	180	865
2	433	833
3	1222	833
4	2035	833
5	3151	833
6	3448	833
7	3616	833
8	3825	833
9	4210	833
10	4988	833
11	6024	833
12	6327	833
13	6471	833
14	6612	833
15	6748	833
16	7927	833

Stop Event

1×	node limit

Counts

39 → 44

Calls

Call 1

Inputs
1
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)
(+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))
(+.f64 -2 (-.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 x) 4)))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) (*.f64 (sqrt.f64 x) 4)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 2)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)) 16)
(/.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) 32)
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4))) 8)
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Outputs
1
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 -2 (-.f64 2 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 x) 4)))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) (/.f64 (sqrt.f64 x) 4)))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 1/4)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/2) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) (*.f64 (sqrt.f64 x) 4)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4) 4)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) -2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8) 8)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)) 16)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4) -4)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) -8)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) 32)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) 4)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 8)))) 64)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4)) (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 4))) 8)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	1.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 107 to 68 computations (36.4% saved)

series6.0ms (0%)

Counts

1 → 6

Calls

9 calls:

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

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`bool.json-1`
1862×	`bool.json-2`
1190×	`bool.json-3`
992×	`rational.json-1`
992×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	224	79
2	574	79
3	1224	79
4	2919	79
5	6698	79

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))))))

simplify396.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2758×	`rational.json-simplify-48`
1828×	`rational.json-simplify-1`
1704×	`rational.json-simplify-49`
1518×	`rational.json-simplify-51`
1426×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	1539
1	161	1539
2	331	1539
3	755	1539
4	1915	1539
5	2550	1539
6	2923	1539
7	3027	1539
8	3098	1539
9	3171	1539
10	3631	1539
11	4518	1539
12	4805	1539
13	5000	1539
14	5079	1539
15	5107	1539
16	5135	1539
17	5556	1539
18	6104	1539
19	6625	1539
20	7854	1539
21	7966	1539

Stop Event

1×	node limit

Counts

21 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 0)
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) -1)
(*.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))
(*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)
(.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2))
(*.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))
(.f64 (+.f64 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 1/2)
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2))
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2) 2)
(/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)
(/.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 2)
(/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))) 16)

Outputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 0)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) -1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(*.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(*.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(.f64 (+.f64 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))))
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))))
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 1/4)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2))
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))))
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))))
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(/.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 2)
(/.f64 (+.f64 2 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) 2)
(/.f64 (+.f64 2 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))) 2)
(/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) 8)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))) 16)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

eval277.0ms (1%)

Compiler: Compiled 8384 to 5693 computations (32.1% saved)

prune191.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	251	6	257
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	252	8	260

Error

4.7b

Counts

260 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.6b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
▶	45.3b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
✓	4.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	22.2b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
✓	4.9b	(+.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	5.7b	(+.f64 (+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	32.7b	(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
▶	25.6b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))

Compiler

Compiled 366 to 294 computations (19.7% saved)

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	1.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
	4.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 122 to 83 computations (32% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

(+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

0.0ms

inf

(+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

0.0ms

(+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

rewrite211.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`bool.json-1`
1686×	`bool.json-2`
1638×	`rational.json-1`
1638×	`rational.json-2`
1076×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	126	27
2	314	27
3	617	27
4	1289	27
5	2932	27
6	6342	27

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))))

simplify451.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2152×	`rational.json-simplify-2`
1922×	`rational.json-simplify-35`
1656×	`rational.json-simplify-45`
1574×	`rational.json-simplify-1`
1176×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	822
1	126	822
2	291	822
3	794	822
4	1708	822
5	2626	822
6	3130	822
7	3440	822
8	3943	822
9	4677	822
10	5554	822
11	5671	822
12	6313	822
13	6409	822
14	6866	822
15	7079	822
16	7423	822
17	7546	822
18	7655	822
19	7750	822
20	7837	822
21	7922	822

Stop Event

1×	node limit

Counts

30 → 32

Calls

Call 1

Inputs
2
1
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 -1 (sqrt.f64 y)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1)
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 0)
(-.f64 0 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(*.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
(.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1/2))
(*.f64 -1 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)
(*.f64 4 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4))
(.f64 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1/2)
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 1/4)
(*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(.f64 1/2 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.f64 1/4 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1/2) 2)
(*.f64 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 4)
(/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)
(/.f64 (+.f64 2 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2)
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8)) 16)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8)) (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8))) 32)
(/.f64 (/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -1) 2)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))

Outputs
2
1
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 -1 (sqrt.f64 y)))
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 0)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 0 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(*.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1/2))
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(*.f64 -1 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(*.f64 4 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4))
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(.f64 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 1/4)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(.f64 1/2 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.f64 1/4 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4))
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1/2) 2)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(*.f64 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 4)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(/.f64 (+.f64 2 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) 2)
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 4) 4)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(/.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8) 8)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8)) 16)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -2)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8)) (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 8))) 32)
(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -1) 2)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
✓	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.0b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
✓	9.9b	(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))

Compiler

Compiled 72 to 40 computations (44.4% saved)

series6.0ms (0%)

Counts

4 → 15

Calls

21 calls:

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

rewrite136.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`bool.json-1`
1270×	`rational.json-simplify-35`
1208×	`bool.json-2`
1180×	`rational.json-1`
1180×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	142
1	167	142
2	437	142
3	903	142
4	1999	142
5	4307	142
6	7642	142

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))) (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 z -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2) (.f64 (sqrt.f64 (-.f64 z -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 z -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 z -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (-.f64 z -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 z -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 z -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (-.f64 z -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (-.f64 z -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 z -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 z -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 z -1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (-.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 z -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (sqrt.f64 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 1/2) (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))

simplify527.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3666×	`rational.json-simplify-51`
2046×	`rational.json-simplify-35`
1818×	`rational.json-simplify-1`
1458×	`rational.json-simplify-2`
1062×	`rational.json-simplify-42`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	185	3469
1	365	3467
2	909	3467
3	1903	3467
4	3109	3467
5	3554	3367
6	4111	3367
7	4353	3367
8	4576	3367
9	4721	3367
10	5243	3367
11	5336	3367
12	5710	3367
13	5806	3367
14	5928	3367
15	6119	3367
16	6387	3367
17	6517	3367
18	6517	3367

Stop Event

1×	node limit

Counts

103 → 126

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
1
(+.f64 1 (*.f64 1/2 z))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(-.f64 1 (sqrt.f64 z))
(*.f64 -1 (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)))) 32)
(-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) -1)
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 0)
(*.f64 1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
(*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)
(.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/2))
(*.f64 4 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))
(.f64 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) 1/2)
(.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 1/4)
(.f64 1/2 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)))
(.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))
(*.f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 4)
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)
(/.f64 (+.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) 2)
(/.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4)))) 32)
(+.f64 (sqrt.f64 (-.f64 z -1)) 0)
(+.f64 0 (sqrt.f64 (-.f64 z -1)))
(+.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2) (.f64 (sqrt.f64 (-.f64 z -1)) 1/2))
(-.f64 (sqrt.f64 (-.f64 z -1)) 0)
(*.f64 1 (sqrt.f64 (-.f64 z -1)))
(*.f64 (sqrt.f64 (-.f64 z -1)) 1)
(.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2))
(*.f64 4 (/.f64 (sqrt.f64 (-.f64 z -1)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 z -1)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 z -1)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 z -1)) 4) 4)
(/.f64 (sqrt.f64 (-.f64 z -1)) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 z -1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 z -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 z -1)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4)))) 32)
(+.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 0)
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) -1)
(+.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (sqrt.f64 (-.f64 x -1)))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)
(*.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2))
(.f64 2 (-.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 1/2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1/2)))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) 1/2)
(*.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -1)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 2)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 4)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) 2)
(/.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))) -2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))))) 4)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(+.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 2 (sqrt.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(+.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
1
(+.f64 1 (*.f64 1/2 z))
(+.f64 1 (*.f64 z 1/2))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 1 (+.f64 (.f64 z 1/2) (.f64 -1/8 (pow.f64 z 2))))
(+.f64 (+.f64 1 (.f64 z 1/2)) (.f64 -1/8 (pow.f64 z 2)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(+.f64 1 (+.f64 (+.f64 (.f64 z 1/2) (.f64 -1/8 (pow.f64 z 2))) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (.f64 z 1/2) (*.f64 1/16 (pow.f64 z 3)))))
(+.f64 (+.f64 1 (.f64 z 1/2)) (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 (.f64 z 1/2) (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 1 (*.f64 1/16 (pow.f64 z 3)))))
(-.f64 1 (sqrt.f64 z))
(*.f64 -1 (sqrt.f64 z))
(*.f64 (sqrt.f64 z) -1)
(neg.f64 (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 0)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(*.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 2)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)) 8)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) 16)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)))) 32)
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) -1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 0)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(*.f64 1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/2))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(*.f64 4 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(.f64 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) 1/2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 1/4)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(.f64 1/2 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/2) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(.f64 1/4 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(*.f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 4)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(/.f64 (+.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2)) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(/.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4) 4)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4)) 8)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))) 16)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 4)))) 32)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (-.f64 z -1)) 0)
(sqrt.f64 (+.f64 1 z))
(+.f64 0 (sqrt.f64 (-.f64 z -1)))
(sqrt.f64 (+.f64 1 z))
(+.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2) (.f64 (sqrt.f64 (-.f64 z -1)) 1/2))
(sqrt.f64 (+.f64 1 z))
(-.f64 (sqrt.f64 (-.f64 z -1)) 0)
(sqrt.f64 (+.f64 1 z))
(*.f64 1 (sqrt.f64 (-.f64 z -1)))
(sqrt.f64 (+.f64 1 z))
(*.f64 (sqrt.f64 (-.f64 z -1)) 1)
(sqrt.f64 (+.f64 1 z))
(.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2))
(sqrt.f64 (+.f64 1 z))
(*.f64 4 (/.f64 (sqrt.f64 (-.f64 z -1)) 4))
(sqrt.f64 (+.f64 1 z))
(.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 2) 1/2)
(sqrt.f64 (+.f64 1 z))
(.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 4) 1/4)
(sqrt.f64 (+.f64 1 z))
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 z -1)) 2))
(sqrt.f64 (+.f64 1 z))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 z -1)) 4))
(sqrt.f64 (+.f64 1 z))
(.f64 (.f64 (sqrt.f64 (-.f64 z -1)) 1/2) 2)
(sqrt.f64 (+.f64 1 z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 z -1)) 4) 4)
(sqrt.f64 (+.f64 1 z))
(/.f64 (sqrt.f64 (-.f64 z -1)) 1)
(sqrt.f64 (+.f64 1 z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 z -1)) 2) 2)
(sqrt.f64 (+.f64 1 z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 z -1)) 4) 4)
(sqrt.f64 (+.f64 1 z))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4)) 8)
(sqrt.f64 (+.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 z -1)) 4))) 16)
(sqrt.f64 (+.f64 1 z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 z -1)) 4)))) 32)
(sqrt.f64 (+.f64 1 z))
(+.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) -1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (sqrt.f64 (-.f64 x -1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 1/2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -1)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))) -1)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4)) 8)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))) -2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (.f64 2 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) -4)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))) 16)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) 2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 4)))) 32)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))))) 4)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1)))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))

✓

0.0b

(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))

✓

3.4b

(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))

Compiler

Compiled 72 to 44 computations (38.9% saved)

series6.0ms (0%)

Counts

3 → 16

Calls

18 calls:

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

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`rational.json-simplify-35`
1334×	`bool.json-1`
1334×	`bool.json-2`
1306×	`rational.json-1`
1306×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	127
1	174	127
2	441	127
3	914	127
4	2135	127
5	4700	127
6	7811	127

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs

(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))

(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))

(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 t -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (-.f64 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2) (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) -4)))) (#(struct:change #<rule 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(sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))))

simplify555.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2324×	`rational.json-simplify-1`
1980×	`rational.json-simplify-2`
1842×	`rational.json-simplify-35`
1718×	`rational.json-simplify-51`
1498×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	3397
1	381	3397
2	799	3397
3	1838	3397
4	2866	3397
5	3536	3397
6	3782	3397
7	4002	3397
8	4246	3397
9	4390	3397
10	5286	3397
11	6169	3397
12	6732	3397
13	6839	3397
14	7113	3397
15	7453	3397
16	7653	3397
17	7787	3397
18	7811	3397
19	7835	3397
20	7835	3397

Stop Event

1×	node limit

Counts

81 → 136

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 t) (sqrt.f64 (+.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/16 (pow.f64 t 3))))))
(+.f64 1 (sqrt.f64 (+.f64 1 t)))
(+.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 t))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 t)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/16 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 (-.f64 t -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 0)
(+.f64 0 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))
(+.f64 -1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (-.f64 x -1)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (-.f64 t -1)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))
(+.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) -1)
(+.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2) (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2))
(*.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2))
(.f64 2 (-.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) 1/2)))
(*.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4))
(*.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))) -1)
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2))
(.f64 1/2 (-.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) 2)))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1/2) 2)
(/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 2) 2)
(/.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))) -1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1)))))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) -4)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1)))))))) 4)
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))))
(-.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1/2))
(*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1)
(.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1/2) 2)
(/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4)))) 32)
(-.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2) 2)
(/.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4)))) 32)

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 3 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 3 (sqrt.f64 x)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 2 (sqrt.f64 x)))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 3) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (sqrt.f64 t)))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (-.f64 x -1)))
(+.f64 1 (+.f64 (*.f64 1/2 t) (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 t 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 t 1/2) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (*.f64 t 1/2)))
(+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (*.f64 t 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 t 1/2)) (.f64 -1/8 (pow.f64 t 2))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (.f64 t 1/2) 1)) (.f64 -1/8 (pow.f64 t 2)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (.f64 t 1/2) (.f64 -1/8 (pow.f64 t 2)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (.f64 t 1/2))))
(+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (.f64 t 1/2) (.f64 -1/8 (pow.f64 t 2)))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/16 (pow.f64 t 3))))))
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (.f64 1/16 (pow.f64 t 3)) (.f64 t 1/2))) (*.f64 -1/8 (pow.f64 t 2))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (+.f64 (.f64 t 1/2) (*.f64 1/16 (pow.f64 t 3))) 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (+.f64 1 (+.f64 (.f64 t 1/2) (.f64 1/16 (pow.f64 t 3)))) (*.f64 -1/8 (pow.f64 t 2))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (.f64 1/16 (pow.f64 t 3)) (+.f64 1 (*.f64 t 1/2)))))
(+.f64 1 (+.f64 (.f64 t 1/2) (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/16 (pow.f64 t 3))))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (.f64 t 1/2) (*.f64 1/16 (pow.f64 t 3)))))
(+.f64 1 (sqrt.f64 (+.f64 1 t)))
(+.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 x 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (*.f64 x 1/2) 1))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (*.f64 x 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1 t)))))
(+.f64 (.f64 x 1/2) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 x 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 x 1/2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/16 (pow.f64 x 3))))))
(+.f64 (.f64 x 1/2) (+.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 1/16 (pow.f64 x 3)))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (+.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 1/16 (pow.f64 x 3)))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 x 1/2)))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (.f64 x 1/2) (*.f64 1/16 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/16 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 (-.f64 t -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) 0)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 0 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 -1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (-.f64 x -1)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (sqrt.f64 (-.f64 t -1)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
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(*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(/.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4)) 8)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))) 16)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 2 (-.f64 (sqrt.f64 (-.f64 t -1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))) 4)))) 32)
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(-.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(*.f64 1 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(/.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 2) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4)) 8)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))) 16)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 (-.f64 x -1))) 4)))) 32)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (+.f64 1 t)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))
	0.0b	(sqrt.f64 (+.f64 1 z))
✓	9.9b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))

Compiler

Compiled 67 to 44 computations (34.3% saved)

series4.0ms (0%)

Counts

3 → 20

Calls

18 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`bool.json-1`
1530×	`bool.json-2`
1502×	`rational.json-1`
1502×	`rational.json-2`
1502×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	113
1	169	113
2	455	113
3	989	113
4	2379	113
5	5466	113

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs

(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))

(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))

(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 z -1)) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 z -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (-.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (-.f64 (sqrt.f64 (-.f64 z -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (-.f64 z -1))) (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 1 (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (sqrt.f64 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 1 (sqrt.f64 (-.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 z -1))))) (sqrt.f64 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 -1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4)) (*.f64 2 (*.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (+.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 4)) (*.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))) (+.f64 1 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 (-.f64 x -1)))))))))

simplify604.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2038×	`rational.json-simplify-2`
1972×	`rational.json-simplify-35`
1870×	`rational.json-simplify-1`
1350×	`rational.json-simplify-51`
1254×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	3687
1	384	3687
2	802	3687
3	1882	3687
4	2936	3687
5	3590	3687
6	3850	3687
7	4071	3687
8	4202	3687
9	4286	3687
10	5247	3687
11	5330	3687
12	5424	3687
13	5653	3687
14	5961	3687
15	6335	3687
16	6976	3687
17	7300	3687
18	7628	3687
19	7933	3687

Stop Event

1×	node limit

Counts

87 → 149

Calls

Call 1

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

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

localize96.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.0b	(+.f64 (sqrt.f64 z) (sqrt.f64 t))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))
✓	3.1b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))

Compiler

Compiled 68 to 45 computations (33.8% saved)

series4.0ms (0%)

Counts

3 → 14

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
0.0ms	z	@	-inf	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
0.0ms	z	@	inf	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
0.0ms	t	@	inf	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
0.0ms	t	@	-inf	(+.f64 (sqrt.f64 z) (sqrt.f64 t))

rewrite150.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`bool.json-1`
1540×	`bool.json-2`
1512×	`rational.json-1`
1512×	`rational.json-2`
1512×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
1	176	95
2	456	95
3	970	95
4	2368	95
5	5387	95

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (sqrt.f64 z) (sqrt.f64 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 2 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4)) (*.f64 2 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 z) (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))

simplify394.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2436×	`rational.json-simplify-1`
1690×	`rational.json-simplify-35`
1556×	`rational.json-simplify-52`
1004×	`rational.json-simplify-2`
958×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	3166
1	329	3166
2	755	3166
3	1890	3166
4	3198	3166
5	4324	3166
6	5203	3166
7	6475	3166
8	7094	3166
9	7881	3166

Stop Event

1×	node limit

Counts

82 → 112

Calls

Call 1

Inputs
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (sqrt.f64 (+.f64 1 t)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/2 z)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 1/2 z))))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/2 z)))))
(+.f64 1 (sqrt.f64 (+.f64 1 z)))
(+.f64 1 (+.f64 (*.f64 1/2 t) (sqrt.f64 (+.f64 1 z))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (sqrt.f64 (+.f64 1 z)))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 t 3))))))
(sqrt.f64 t)
(sqrt.f64 z)
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 2 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 0)
(+.f64 0 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 -1 (+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (sqrt.f64 (+.f64 1 t))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (sqrt.f64 (+.f64 1 z)))
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (sqrt.f64 (+.f64 1 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (sqrt.f64 (+.f64 1 z))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))
(+.f64 (+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) -1)
(+.f64 (+.f64 2 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(+.f64 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))
(.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))
(*.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(*.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))
(*.f64 4 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))
(.f64 (.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2)
(*.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))) -1)
(.f64 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(.f64 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) 2)
(/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(/.f64 (*.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 2)
(/.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))) -1)
(/.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4)) (.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))) 2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 0)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1/2))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) 1/2)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1/2) 2)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4))) 16)
(-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 0)
(.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2))
(*.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))
(.f64 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2) 2)
(/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))) 16)

Outputs
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (sqrt.f64 t))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 1 (sqrt.f64 (+.f64 1 t)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/2 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (*.f64 z 1/2) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 z 1/2)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 1/2 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (.f64 z 1/2) (.f64 -1/8 (pow.f64 z 2)))))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/2 z)))))
(+.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (.f64 z 1/2) (.f64 -1/8 (pow.f64 z 2))))) (*.f64 1/16 (pow.f64 z 3)))
(+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 z 1/2))) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 z 1/2)) (+.f64 (+.f64 1 (.f64 -1/8 (pow.f64 z 2))) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 z 1/2)) (+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (*.f64 -1/8 (pow.f64 z 2)))))
(+.f64 1 (sqrt.f64 (+.f64 1 z)))
(+.f64 1 (+.f64 (*.f64 1/2 t) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 t 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (sqrt.f64 (+.f64 1 z)))))
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (.f64 t 1/2)) (.f64 -1/8 (pow.f64 t 2))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (.f64 t 1/2)) (+.f64 (.f64 -1/8 (pow.f64 t 2)) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (.f64 t 1/2) (.f64 -1/8 (pow.f64 t 2)))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 t 3))))))
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (.f64 1/16 (pow.f64 t 3)) (.f64 t 1/2))) (*.f64 -1/8 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (.f64 t 1/2) (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 t 3))))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (.f64 t 1/2)) (*.f64 1/16 (pow.f64 t 3)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (.f64 t 1/2) (*.f64 1/16 (pow.f64 t 3))))))
(sqrt.f64 t)
(sqrt.f64 z)
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 2 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 0)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 0 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 -1 (+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (sqrt.f64 (+.f64 1 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (sqrt.f64 (+.f64 1 z)))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (sqrt.f64 (+.f64 1 t)))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) (+.f64 2 (sqrt.f64 (+.f64 1 z))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
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(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (+.f64 2 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))
(*.f64 4 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 (.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))) -1)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))
(.f64 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 1/4)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 1/2 (.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) 2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (*.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))) -1)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))
(/.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))) -2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4)) 8)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4)) (.f64 2 (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))) 16)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))) 2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 0)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4)) 8)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) 4))) 16)
(+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))
(-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 0)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 1/4)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2) 2)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4)) 8)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))) 16)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))

eval516.0ms (1.9%)

Compiler: Compiled 15674 to 10540 computations (32.8% saved)

prune340.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	699	6	705
Fresh	0	1	1
Picked	1	0	1
Done	4	2	6
Total	704	9	713

Error

4.7b

Counts

713 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.0b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
▶	5.7b	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	19.2b	(+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	24.3b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
	22.2b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
✓	4.9b	(+.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	57.8b	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
▶	38.8b	(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

Compiler

Compiled 352 to 284 computations (19.3% saved)

localize116.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1)
	1.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
	4.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 106 to 67 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`bool.json-1`
1840×	`bool.json-2`
1188×	`bool.json-3`
966×	`rational.json-1`
966×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	117	27
2	319	27
3	638	27
4	1340	27
5	3141	27
6	6905	27

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 y)) (+.f64 1 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (neg.f64 (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) -1) (-.f64 2 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (-.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2) (*.f64 (sqrt.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))) (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))))

simplify255.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2124×	`rational.json-simplify-1`
1992×	`rational.json-simplify-51`
1900×	`rational.json-simplify-35`
1054×	`rational.json-simplify-41`
910×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1163
1	187	1163
2	445	1163
3	1028	1163
4	2303	1163
5	3212	1163
6	3705	1163
7	3967	1163
8	4216	1163
9	4459	1163
10	6076	1163
11	6675	1163
12	6954	1163
13	7238	1163
14	7695	1163

Stop Event

1×	node limit

Counts

43 → 43

Calls

Call 1

Inputs
2
1
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 0)
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))) -1)
(+.f64 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y)))
(+.f64 (neg.f64 (sqrt.f64 y)) (+.f64 1 (sqrt.f64 (+.f64 1 y))))
(+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2) (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) 2)
(+.f64 (+.f64 -1 (neg.f64 (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) -1) (-.f64 2 (sqrt.f64 y)))
(+.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (-.f64 1 (sqrt.f64 y)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 -1 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2))
(.f64 2 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2) (.f64 (sqrt.f64 y) 1/2)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4))
(*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2) 2)
(/.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 4)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8) 8)
(/.f64 (*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) 4) -4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) 4) -1) 4)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))

Outputs
2
1
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 0)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y))) -1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (neg.f64 (sqrt.f64 y)) (+.f64 1 (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2) (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 -1 (neg.f64 (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) 2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) -1) (-.f64 2 (sqrt.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (-.f64 1 (sqrt.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(*.f64 -1 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(.f64 2 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2) (.f64 (sqrt.f64 y) 1/2)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 1/4)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1/2) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 4)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 2) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) -1)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 4) 4)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))) -2)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8) 8)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) 4) -4)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8)) 16)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))) 2)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) 8))) 32)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y))))))) 4)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(/.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))) 4) -1) 4)
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))
(neg.f64 (+.f64 (sqrt.f64 y) (-.f64 -1 (sqrt.f64 (+.f64 1 y)))))

localize56.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.0b	(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`bool.json-1`
1654×	`bool.json-2`
1606×	`rational.json-1`
1606×	`rational.json-2`
1056×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	107	27
2	301	27
3	608	27
4	1262	27
5	2878	27
6	6226	27

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8)) (*.f64 2 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))))

simplify502.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2148×	`rational.json-simplify-2`
1922×	`rational.json-simplify-35`
1626×	`rational.json-simplify-45`
1578×	`rational.json-simplify-1`
1172×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	822
1	125	822
2	291	822
3	792	822
4	1702	822
5	2626	822
6	3130	822
7	3435	822
8	3937	822
9	4671	822
10	5542	822
11	5659	822
12	6301	822
13	6397	822
14	6854	822
15	7066	822
16	7383	822
17	7506	822
18	7615	822
19	7710	822
20	7797	822
21	7882	822

Stop Event

1×	node limit

Counts

30 → 34

Calls

Call 1

Inputs
2
1
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) -1))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) -1)
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 0)
(-.f64 0 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(*.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))
(*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)
(*.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1/2))
(.f64 (+.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 1/2)
(*.f64 4 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 1/4)
(*.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))) -1)
(.f64 1/2 (+.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))
(.f64 1/4 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1/2) 2)
(*.f64 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 4)
(/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)
(/.f64 (+.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 2)
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))) -1)
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8)) 16)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z))))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8)) (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8))) 32)
(/.f64 (/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z))))) -1) 2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))

Outputs
2
1
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) -1))
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) -1)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 0)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 0 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(*.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(*.f64 -1 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1/2))
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(.f64 (+.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(*.f64 4 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4))
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 1/4)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(*.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))) -1)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(.f64 1/2 (+.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))
(.f64 1/2 (+.f64 2 (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(.f64 1/4 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4))
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(.f64 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1/2) 2)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(*.f64 (/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 4)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(/.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(/.f64 (+.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 2)
(/.f64 (+.f64 2 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) 2)
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 4) 4)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(/.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))) -1)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8) 8)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8)) 16)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z))))) -2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8)) (.f64 2 (.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 8))) 32)
(-.f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (sqrt.f64 z)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z))))) -1) 2)
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))
(neg.f64 (+.f64 (sqrt.f64 z) (-.f64 -1 (sqrt.f64 (+.f64 1 z)))))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 3 (sqrt.f64 t))
✓	3.3b	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))

Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
0.0ms	t	@	-inf	(-.f64 3 (sqrt.f64 t))
0.0ms	t	@	inf	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
0.0ms	t	@	inf	(-.f64 3 (sqrt.f64 t))
0.0ms	t	@	0	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`bool.json-1`
1504×	`bool.json-2`
1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	115	38
2	313	38
3	608	38
4	1225	38
5	2700	38
6	5689	38

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(-.f64 3 (sqrt.f64 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2) (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 t)) 2) (*.f64 (-.f64 3 (sqrt.f64 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 (sqrt.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 3 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (sqrt.f64 t) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 t) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2) (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 3 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 3 (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 t) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 3 (sqrt.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 3 (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 t) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 t) -3) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 3 (sqrt.f64 t)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 3 (sqrt.f64 t)) 8)) (*.f64 2 (*.f64 (-.f64 3 (sqrt.f64 t)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3))) (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 t) -3) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 3 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 3 (sqrt.f64 t)) (-.f64 3 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 3 (sqrt.f64 t)) (-.f64 3 (sqrt.f64 t)))))))

simplify876.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3564×	`rational.json-simplify-51`
3246×	`rational.json-simplify-35`
3156×	`rational.json-simplify-2`
1288×	`rational.json-simplify-1`
486×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	956
1	203	948
2	530	948
3	1320	948
4	2491	948
5	3151	948
6	3305	948
7	3416	948
8	3518	948
9	3617	948
10	3715	948
11	3813	948
12	3924	948
13	4022	948
14	4022	948
15	6238	948
16	6352	948
17	6453	948
18	6550	948
19	6640	948
20	6730	948
21	6820	948
22	6910	948
23	7000	948
24	7090	948
25	7180	948

Stop Event

1×	node limit

Counts

54 → 56

Calls

Call 1

Inputs
4
3
3
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1/2))
(.f64 2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2) (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 2) (*.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 4)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8))) 32)
(+.f64 (-.f64 3 (sqrt.f64 t)) 0)
(+.f64 0 (-.f64 3 (sqrt.f64 t)))
(+.f64 -1 (neg.f64 (+.f64 (sqrt.f64 t) -4)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 t) -4)) -1)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2) (.f64 (-.f64 3 (sqrt.f64 t)) 1/2))
(*.f64 1 (-.f64 3 (sqrt.f64 t)))
(*.f64 (-.f64 3 (sqrt.f64 t)) 1)
(*.f64 -1 (+.f64 (sqrt.f64 t) -3))
(.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2))
(*.f64 4 (/.f64 (-.f64 3 (sqrt.f64 t)) 4))
(.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 2) 1/2)
(*.f64 (+.f64 (sqrt.f64 t) -3) -1)
(.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 t)) 2))
(.f64 1/4 (.f64 (-.f64 3 (sqrt.f64 t)) 4))
(.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2) 2)
(*.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 4) 4)
(/.f64 (-.f64 3 (sqrt.f64 t)) 1)
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 2) 2)
(/.f64 (+.f64 (sqrt.f64 t) -3) -1)
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 4) 4)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3)) -2)
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 8) 8)
(/.f64 (*.f64 (+.f64 (sqrt.f64 t) -3) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 8)) (.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 t) -3))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 t) -3)))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 t) -3) 4) -1) 4)
(neg.f64 (+.f64 (sqrt.f64 t) -3))

Outputs
4
3
3
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 0)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2) (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (*.f64 (-.f64 3 (sqrt.f64 t)) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 1/2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 2) (*.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 2) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8) 8)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8)) 16)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t))) 8))) 32)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 3 (sqrt.f64 t)) 0)
(-.f64 3 (sqrt.f64 t))
(+.f64 0 (-.f64 3 (sqrt.f64 t)))
(-.f64 3 (sqrt.f64 t))
(+.f64 -1 (neg.f64 (+.f64 (sqrt.f64 t) -4)))
(-.f64 -1 (+.f64 (sqrt.f64 t) -4))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 t) -4)) -1)
(+.f64 -1 (neg.f64 (+.f64 (sqrt.f64 t) -4)))
(-.f64 -1 (+.f64 (sqrt.f64 t) -4))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2) (.f64 (-.f64 3 (sqrt.f64 t)) 1/2))
(-.f64 3 (sqrt.f64 t))
(*.f64 1 (-.f64 3 (sqrt.f64 t)))
(-.f64 3 (sqrt.f64 t))
(*.f64 (-.f64 3 (sqrt.f64 t)) 1)
(-.f64 3 (sqrt.f64 t))
(*.f64 -1 (+.f64 (sqrt.f64 t) -3))
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2))
(-.f64 3 (sqrt.f64 t))
(*.f64 4 (/.f64 (-.f64 3 (sqrt.f64 t)) 4))
(-.f64 3 (sqrt.f64 t))
(.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 2) 1/2)
(-.f64 3 (sqrt.f64 t))
(*.f64 (+.f64 (sqrt.f64 t) -3) -1)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 4) 1/4)
(-.f64 3 (sqrt.f64 t))
(.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 t)) 2))
(-.f64 3 (sqrt.f64 t))
(.f64 1/4 (.f64 (-.f64 3 (sqrt.f64 t)) 4))
(-.f64 3 (sqrt.f64 t))
(.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 1/2) 2)
(-.f64 3 (sqrt.f64 t))
(*.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 4) 4)
(-.f64 3 (sqrt.f64 t))
(/.f64 (-.f64 3 (sqrt.f64 t)) 1)
(-.f64 3 (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 2) 2)
(-.f64 3 (sqrt.f64 t))
(/.f64 (+.f64 (sqrt.f64 t) -3) -1)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 4) 4)
(-.f64 3 (sqrt.f64 t))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3)) -2)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 8) 8)
(-.f64 3 (sqrt.f64 t))
(/.f64 (*.f64 (+.f64 (sqrt.f64 t) -3) 4) -4)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(/.f64 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 8)) 16)
(-.f64 3 (sqrt.f64 t))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 t) -3))) 2)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 8)) (.f64 2 (.f64 (-.f64 3 (sqrt.f64 t)) 8))) 32)
(-.f64 3 (sqrt.f64 t))
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 t) -3))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 t) -3)))) 4)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(/.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 t) -3) 4) -1) 4)
(neg.f64 (+.f64 (sqrt.f64 t) -3))
(neg.f64 (+.f64 (sqrt.f64 t) -3))

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
	0.0b	(sqrt.f64 (+.f64 1 z))
	4.1b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`bool.json-1`
1608×	`bool.json-2`
1560×	`rational.json-1`
1560×	`rational.json-2`
1560×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	114	27
2	305	27
3	596	27
4	1225	27
5	2763	27
6	5992	27

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8)) (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))))))

simplify926.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

5568×	`rational.json-simplify-51`
2060×	`rational.json-simplify-35`
1184×	`rational.json-simplify-2`
1090×	`rational.json-simplify-49`
1062×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	461
1	82	461
2	239	461
3	611	461
4	989	461
5	2191	461
6	2925	461
7	2983	461
8	3028	461
9	3059	461
10	3087	461
11	3115	461
12	3145	461
13	3173	461
14	3201	461
15	3229	461
16	3257	461
17	3285	461
18	3313	461
19	4109	461
20	4151	461
21	4183	461
22	4213	461
23	4242	461
24	4271	461
25	4436	461
26	4465	461
27	4494	461
28	4523	461
29	4552	461
30	4581	461
31	4610	461
32	4639	461
33	4668	461
34	4697	461
35	4726	461
36	4755	461
37	4784	461
38	4813	461
39	4842	461
40	4871	461

Stop Event

1×	node limit

Counts

19 → 20

Calls

Call 1

Inputs
3
2
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 0)
(*.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))
(.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2))
(*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)
(*.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4))
(.f64 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 1/2)
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4))
(*.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 4)
(/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)
(/.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 2)
(/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 4)
(/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8)) (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8))) 32)

Outputs
3
2
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 0)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(*.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(*.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(.f64 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 1/2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 1/4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(.f64 1/2 (.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(.f64 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1/2) 2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(.f64 1/4 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(*.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(/.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)) 2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 4) 4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8) 8)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8)) 16)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8)) (.f64 2 (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 8))) 32)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (sqrt.f64 (+.f64 1 z)))
	0.0b	(sqrt.f64 (+.f64 1 z))
✓	10.1b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))

Compiler

Compiled 31 to 23 computations (25.8% saved)

series1.0ms (0%)

Counts

2 → 6

Calls

6 calls:

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

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2030×	`bool.json-1`
2030×	`bool.json-2`
1066×	`rational.json-1`
1066×	`rational.json-2`
1066×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	116	44
2	320	44
3	653	44
4	1406	44
5	3335	44
6	7417	44

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 2 (sqrt.f64 (+.f64 1 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 2 (neg.f64 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 z)) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2) (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (/.f64 (-.f64 2 (sqrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2) (*.f64 (sqrt.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (sqrt.f64 z) -2) -2) (*.f64 2 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) (*.f64 2 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8)) (*.f64 2 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))) (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8)) (*.f64 2 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 2 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 2 (sqrt.f64 (+.f64 1 z))) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 2 (sqrt.f64 (+.f64 1 z))) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))))

simplify438.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2032×	`rational.json-simplify-35`
1754×	`rational.json-simplify-52`
1676×	`rational.json-simplify-1`
1624×	`rational.json-simplify-2`
702×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1555
1	251	1555
2	565	1555
3	1457	1555
4	2980	1555
5	3730	1555
6	4079	1555
7	4663	1555
8	5219	1555
9	5523	1555
10	5910	1555
11	6805	1555
12	6881	1555
13	6926	1555
14	6928	1555
15	6928	1555

Stop Event

1×	node limit

Counts

65 → 74

Calls

Call 1

Inputs
3
2
3
(+.f64 3 (*.f64 1/2 z))
(+.f64 3 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 3 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 2 (neg.f64 (sqrt.f64 z))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (neg.f64 (sqrt.f64 z)))
(+.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 0)
(+.f64 0 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
(+.f64 -1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))
(+.f64 (-.f64 2 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(+.f64 (neg.f64 (sqrt.f64 z)) (+.f64 2 (sqrt.f64 (+.f64 1 z))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3) -1)
(+.f64 (+.f64 2 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (+.f64 1 z)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2) (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2))
(*.f64 2 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (/.f64 (-.f64 2 (sqrt.f64 z)) 2)))
(.f64 2 (-.f64 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2) (*.f64 (sqrt.f64 z) 1/2)))
(*.f64 1 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
(*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1)
(*.f64 -1 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))
(.f64 (.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 1/2)
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -4))
(*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -1)
(.f64 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4) 1/4)
(.f64 1/2 (.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 z) -2) -2) (*.f64 2 (sqrt.f64 (+.f64 1 z)))))
(.f64 1/2 (-.f64 (.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) (*.f64 2 (sqrt.f64 z))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2) 2)
(.f64 1/4 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4))
(*.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -4) 4)
(/.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1)
(/.f64 (*.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 2)
(/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -1)
(/.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4) 4)
(/.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8) 8)
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z))))) -2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8)) (.f64 2 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))) (neg.f64 (.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) 4)
(/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 4) -1) 4)
(neg.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 0)
(.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2))
(*.f64 1 (+.f64 2 (sqrt.f64 (+.f64 1 z))))
(*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1)
(.f64 (.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 1/2)
(*.f64 4 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4))
(.f64 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))))
(.f64 1/4 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4))
(.f64 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2) 2)
(*.f64 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 4)
(/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1)
(/.f64 (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 2)
(/.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 4)
(/.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8)) (.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8))) 32)

Outputs
3
2
3
(+.f64 3 (*.f64 1/2 z))
(+.f64 3 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 3 (+.f64 (.f64 1/2 z) (.f64 -1/8 (pow.f64 z 2))))
(+.f64 (+.f64 3 (.f64 1/2 z)) (.f64 -1/8 (pow.f64 z 2)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 3 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(+.f64 3 (+.f64 (+.f64 (.f64 1/2 z) (.f64 -1/8 (pow.f64 z 2))) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (+.f64 3 (.f64 1/2 z)) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 3 (+.f64 (.f64 1/2 z) (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/16 (pow.f64 z 3)))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 2 (neg.f64 (sqrt.f64 z))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (neg.f64 (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 0)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 0 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 -1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (-.f64 2 (sqrt.f64 z)) (sqrt.f64 (+.f64 1 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (neg.f64 (sqrt.f64 z)) (+.f64 2 (sqrt.f64 (+.f64 1 z))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3) -1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (+.f64 2 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (+.f64 1 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2) (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 2 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (/.f64 (-.f64 2 (sqrt.f64 z)) 2)))
(.f64 2 (+.f64 (.f64 1/2 (sqrt.f64 (+.f64 z 1))) (/.f64 (-.f64 2 (sqrt.f64 z)) 2)))
(.f64 2 (-.f64 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2) (*.f64 (sqrt.f64 z) 1/2)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 1 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 -1 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(.f64 (.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 1/2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -4))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4) 1/4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(.f64 1/2 (.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 z) -2) -2) (*.f64 2 (sqrt.f64 (+.f64 1 z)))))
(.f64 1/2 (+.f64 (.f64 -2 (+.f64 (sqrt.f64 z) -2)) (*.f64 2 (sqrt.f64 (+.f64 z 1)))))
(.f64 1/2 (-.f64 (.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) (*.f64 2 (sqrt.f64 z))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -2) 2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(.f64 1/4 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -4) 4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (*.f64 2 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) -1)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 4) 4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (*.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8) 8)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z))))) -2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 4) -4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (.f64 2 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8)) 16)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))) 2)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8)) (.f64 2 (.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 8))) 32)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))) (neg.f64 (.f64 2 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z))))))) 4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 4) -1) 4)
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(neg.f64 (-.f64 (sqrt.f64 z) (+.f64 2 (sqrt.f64 (+.f64 1 z)))))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 0)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2))
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(*.f64 1 (+.f64 2 (sqrt.f64 (+.f64 1 z))))
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(.f64 (.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 1/2)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(*.f64 4 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4))
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(.f64 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 1/4)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(.f64 1/2 (.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))))
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(.f64 1/4 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4))
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(.f64 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1/2) 2)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(*.f64 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 4)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(/.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 1)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(/.f64 (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 1 z)))) 2)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(/.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 4) 4)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(/.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8) 8)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(/.f64 (.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8)) 16)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8)) (.f64 2 (.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) 8))) 32)
(+.f64 2 (sqrt.f64 (+.f64 z 1)))

eval311.0ms (1.1%)

Compiler: Compiled 8066 to 5824 computations (27.8% saved)

prune92.0ms (0.3%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	458	6	464
Fresh	0	2	2
Picked	0	1	1
Done	2	4	6
Total	460	13	473

Error

4.7b

Counts

473 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	47.5b	(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
✓	45.0b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
	49.7b	(-.f64 (+.f64 2 1) (sqrt.f64 z))
✓	5.7b	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	19.2b	(+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	22.2b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
✓	4.9b	(+.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	57.8b	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
	50.4b	4
	42.3b	3
	35.7b	2
	39.2b	1

Compiler

Compiled 229 to 188 computations (17.9% saved)

regimes97.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Calls

11 calls:

13.0ms	z
13.0ms	y
11.0ms	t
11.0ms	x
7.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Results

Error	Segments	Branch
4.8b	1	`x`
4.8b	1	`y`
4.8b	1	`z`
4.8b	1	`t`
4.8b	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
4.8b	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
4.8b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
4.8b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
4.8b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
4.8b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.8b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 528 to 367 computations (30.5% saved)

regimes48.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 (+.f64 (+.f64 (+.f64 1 1) -1) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Outputs
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Calls

5 calls:

10.0ms	x
10.0ms	y
9.0ms	z
9.0ms	t
4.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
5.7b	1	`x`
5.7b	1	`y`
5.7b	1	`z`
5.7b	1	`t`
5.7b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes268.0ms (1%)

Counts

17 → 2

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

Outputs

(+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))

(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))

Calls

5 calls:

108.0ms	x
92.0ms	y
32.0ms	t
24.0ms	z
5.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
16.0b	2	`x`
5.0b	2	`y`
13.4b	2	`z`
14.5b	4	`t`
17.3b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 232 to 161 computations (30.6% saved)

bsearch73.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
73.0ms	233702448743202560.0	632723511919583200.0

Results

56.0ms	44×	body	512	valid
12.0ms	21×	body	1024	valid
3.0ms	15×	body	256	valid

Compiler

Compiled 342 to 273 computations (20.2% saved)

regimes211.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

Outputs

(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))

Calls

5 calls:

87.0ms	x
82.0ms	t
15.0ms	z
15.0ms	y
5.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
15.8b	4	`x`
7.6b	2	`y`
15.8b	2	`z`
17.6b	2	`t`
19.9b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 207 to 144 computations (30.4% saved)

bsearch89.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
89.0ms	0.0006130410259577217	73.01084445323498

Results

51.0ms	35×	body	1024	valid
29.0ms	78×	body	512	valid
6.0ms	31×	body	256	valid

Compiler

Compiled 582 to 465 computations (20.1% saved)

regimes185.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))

Outputs

(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)

(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))

Calls

4 calls:

115.0ms	t
28.0ms	x
21.0ms	z
15.0ms	y

Results

Error	Segments	Branch
17.0b	4	`x`
10.2b	2	`y`
15.8b	3	`z`
17.6b	3	`t`

Compiler

Compiled 171 to 119 computations (30.4% saved)

bsearch217.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
217.0ms	0.0006130410259577217	73.01084445323498

Results

124.0ms	33×	body	1024	valid
60.0ms	25×	body	256	valid
31.0ms	86×	body	512	valid

Compiler

Compiled 438 to 357 computations (18.5% saved)

regimes103.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))

Outputs
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2)
1

Calls

4 calls:

35.0ms	x
33.0ms	t
15.0ms	z
15.0ms	y

Results

Error	Segments	Branch
19.2b	4	`x`
11.0b	2	`y`
18.8b	2	`z`
18.2b	3	`t`

Compiler

Compiled 146 to 103 computations (29.5% saved)

bsearch57.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	0.0006130410259577217	73.01084445323498

Results

27.0ms	71×	body	512	valid
21.0ms	36×	body	1024	valid
8.0ms	37×	body	256	valid

Compiler

Compiled 222 to 195 computations (12.2% saved)

regimes117.0ms (0.4%)

Counts

8 → 5

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))

Outputs
(-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z))
2
3
2
1

Calls

4 calls:

42.0ms	t
31.0ms	x
27.0ms	y
15.0ms	z

Results

Error	Segments	Branch
30.3b	6	`x`
19.1b	5	`y`
19.7b	3	`z`
25.8b	8	`t`

Compiler

Compiled 60 to 47 computations (21.7% saved)

bsearch191.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
57.0ms	0.0006130410259577217	73.01084445323498
44.0ms	1.2094162665949875e-156	1.2361366398689454e-154
40.0ms	3.094285030353e-176	3.178462159263933e-175
49.0ms	2.271934064978911e-239	1.0091501592559482e-236

Results

102.0ms	272×	body	512	valid
64.0ms	118×	body	1024	valid
18.0ms	90×	body	256	valid

Compiler

Compiled 458 to 433 computations (5.5% saved)

regimes504.0ms (1.9%)

Counts

5 → 5

Calls

Call 1

Inputs
1
2
3
4
(-.f64 (+.f64 2 1) (sqrt.f64 z))

Outputs
(-.f64 (+.f64 2 1) (sqrt.f64 z))
2
3
2
1

Calls

4 calls:

319.0ms	t
136.0ms	y
27.0ms	x
21.0ms	z

Results

Error	Segments	Branch
30.4b	6	`x`
19.3b	5	`y`
20.0b	3	`z`
27.0b	8	`t`

Compiler

Compiled 34 to 29 computations (14.7% saved)

bsearch288.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
149.0ms	0.0006130410259577217	73.01084445323498
45.0ms	1.2094162665949875e-156	1.2361366398689454e-154
40.0ms	3.094285030353e-176	3.178462159263933e-175
53.0ms	2.271934064978911e-239	1.0091501592559482e-236

Results

155.0ms	114×	body	1024	valid
107.0ms	277×	body	512	valid
19.0ms	89×	body	256	valid

Compiler

Compiled 442 to 425 computations (3.8% saved)

regimes176.0ms (0.6%)

Counts

4 → 5

Calls

Call 1

Inputs
1
2
3
4

Outputs
3
2
3
2
1

Calls

4 calls:

114.0ms	t
24.0ms	x
19.0ms	z
16.0ms	y

Results

Error	Segments	Branch
30.4b	6	`x`
19.4b	5	`y`
20.6b	3	`z`
27.0b	8	`t`

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch207.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
63.0ms	0.0006130410259577217	73.01084445323498
49.0ms	1.2094162665949875e-156	1.2361366398689454e-154
42.0ms	3.094285030353e-176	3.178462159263933e-175
52.0ms	2.271934064978911e-239	1.0091501592559482e-236

Results

112.0ms	272×	body	512	valid
56.0ms	105×	body	1024	valid
27.0ms	103×	body	256	valid

Compiler

Compiled 402 to 393 computations (2.2% saved)

regimes39.0ms (0.1%)

Accuracy

Total -30.1b remaining (-134.1%)

Threshold costs -30.1b (-134.1%)

Counts

2 → 2

Calls

Call 1

Inputs
1
2

Outputs
2
1

Calls

4 calls:

16.0ms	t
9.0ms	x
7.0ms	z
5.0ms	y

Results

Error	Segments	Branch
32.8b	2	`x`
22.4b	2	`y`
30.2b	2	`z`
30.9b	6	`t`

Compiler

Compiled 26 to 22 computations (15.4% saved)

bsearch56.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
56.0ms	0.0006130410259577217	73.01084445323498

Results

31.0ms	81×	body	512	valid
16.0ms	31×	body	1024	valid
6.0ms	32×	body	256	valid

Compiler

Compiled 150 to 141 computations (6% saved)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	831

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(if (<=.f64 y 620000000000000000) (+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))
(if (<=.f64 y 2206763817411543/2251799813685248) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))
(if (<=.f64 y 8782019273372467/2251799813685248) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))
(if (<=.f64 y 8782019273372467/2251799813685248) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z)) (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 8106479329266893/9007199254740992) 2 1))))
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (-.f64 (+.f64 2 1) (sqrt.f64 z)) (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 4447304632028365/1125899906842624) 2 1))))
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) 3 (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 3715469692580659/2251799813685248) 2 1))))
(if (<=.f64 y 4278419646001971/2251799813685248) 2 1)
1

Outputs
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(if (<=.f64 y 620000000000000000) (+.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))
(if (<=.f64 y 2206763817411543/2251799813685248) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))
(if (<=.f64 y 8782019273372467/2251799813685248) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))
(if (<=.f64 y 8782019273372467/2251799813685248) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) 1)
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (-.f64 (+.f64 3 (*.f64 1/2 z)) (sqrt.f64 z)) (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 8106479329266893/9007199254740992) 2 1))))
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (-.f64 (+.f64 2 1) (sqrt.f64 z)) (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 4447304632028365/1125899906842624) 2 1))))
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (-.f64 3 (sqrt.f64 z)) (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 4447304632028365/1125899906842624) 2 1))))
(if (<=.f64 y 2698013860351689/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) 3 (if (<=.f64 y 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) 2 (if (<=.f64 y 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) 3 (if (<=.f64 y 3715469692580659/2251799813685248) 2 1))))
(if (<=.f64 y 4278419646001971/2251799813685248) 2 1)
1

Compiler

Compiled 340 to 266 computations (21.8% saved)

soundness0.0ms (0%)

end159.0ms (0.6%)

Compiler: Compiled 370 to 264 computations (28.6% saved)