Details

analyze480.0ms (1.8%)

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)

sample10.1s (36.8%)

Results

5.2s	15797×	body	256	invalid
2.5s	4424×	body	512	valid
1.8s	1828×	body	1024	valid
504.0ms	2004×	body	256	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

70×	`rational_best.json-simplify-1`
38×	`rational_best.json-simplify-43`
8×	`rational_best.json-simplify-16`
2×	`swap-x-t`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	693
1	70	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 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 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 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 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 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 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 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 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 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 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 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 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 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))

Symmetry

(sort x y z t)

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

62×	`rational_best.json-simplify-1`
36×	`rational_best.json-simplify-43`
8×	`rational_best.json-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	99
1	39	99
2	47	99
3	59	99
4	73	99
5	87	99
6	89	99

Stop Event

1×

saturated

Counts

1 → 6

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

eval3.0ms (0%)

Compiler: Compiled 190 to 122 computations (35.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

4.8b

Counts

7 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize190.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
✓	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 134 to 82 computations (38.8% saved)

series7.0ms (0%)

Counts

4 → 4

Calls

12 calls:

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

rewrite128.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`rational_best.json-5`
1296×	`rational_best.json-2`
1296×	`rational_best.json-3`
1296×	`rational_best.json-1`
1296×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	84
1	197	84
2	667	84
3	2823	84

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 z -1)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (-.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 0 (.f64 (sqrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))) (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z -1))))))))
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simplify246.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational_best.json-simplify-132`
948×	`rational_best.json-simplify-2`
848×	`rational_best.json-simplify-24`
696×	`rational_best.json-simplify-80`
624×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2300
1	299	2300
2	1143	1980
3	3328	1980
4	7061	1980

Stop Event

1×	node limit

Counts

92 → 117

Calls

Call 1

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

Outputs
1
1
1
1
(+.f64 (sqrt.f64 (-.f64 z -1)) (neg.f64 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (neg.f64 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(+.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 0)
(+.f64 (sqrt.f64 (+.f64 z 1)) (neg.f64 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (neg.f64 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(+.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (-.f64 z -1)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (neg.f64 (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))
(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(+.f64 (+.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 0 (*.f64 (sqrt.f64 z) 2)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 z) 2))))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 z 1)) (neg.f64 (sqrt.f64 z)))
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(*.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 1)
(+.f64 (sqrt.f64 (+.f64 z 1)) (neg.f64 (sqrt.f64 z)))
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(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
(*.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))
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(.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))))
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(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)))
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(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
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eval187.0ms (0.7%)

Compiler: Compiled 4597 to 2896 computations (37% saved)

prune122.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	7	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	8	118

Error

4.6b

Counts

118 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.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))))
▶	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	37.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	4.9b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))

Compiler

Compiled 745 to 549 computations (26.3% saved)

localize248.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
✓	4.4b	(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))

Compiler

Compiled 169 to 104 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))
1.0ms	z	@	-inf	(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))
0.0ms	z	@	0	(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))

Time

Variable

Point

Expression

1.0ms

inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))

1.0ms

-inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))

0.0ms

(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`rational_best.json-simplify-57`
692×	`rational_best.json-simplify-44`
606×	`rational_best.json-2`
606×	`rational_best.json-3`
606×	`rational_best.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	111	41
2	350	37
3	1405	25
4	5930	25

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))

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

Outputs

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

simplify235.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational_best.json-simplify-80`
1260×	`rational_best.json-simplify-78`
1226×	`rational_best.json-simplify-94`
1182×	`rational_best.json-simplify-24`
1102×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	526
1	97	526
2	540	526
3	3335	526
4	6975	526

Stop Event

1×	node limit

Counts

22 → 23

Calls

Call 1

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

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

localize168.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 105 to 66 computations (37.1% saved)

series41.0ms (0.2%)

Counts

1 → 6

Calls

9 calls:

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

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best.json-5`
1250×	`rational_best.json-2`
1250×	`rational_best.json-3`
1250×	`rational_best.json-1`
1250×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	186	79
2	636	79
3	2713	79

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

simplify257.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational_best.json-simplify-132`
1108×	`rational_best.json-simplify-1`
968×	`rational_best.json-simplify-2`
780×	`rational_best.json-simplify-47`
628×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1594
1	130	1594
2	374	1594
3	1678	1594
4	3599	1594
5	6873	1594

Stop Event

1×	node limit

Counts

22 → 45

Calls

Call 1

Inputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.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 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.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 y)) (sqrt.f64 y))))) 0)
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.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 y)) (sqrt.f64 y))))))
(*.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 y)) (sqrt.f64 y))))) 1)
(*.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))))
(.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 y)) (sqrt.f64 y))))) (.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))))))
(*.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 y)) (sqrt.f64 y))))) (/.f64 1 (/.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y))))))))
(*.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))) (+.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 y)) (sqrt.f64 y))))))
(.f64 (/.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 y)) (sqrt.f64 y)))))) (.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))))
(.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))) (/.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 y)) (sqrt.f64 y)))))))
(.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))))) (+.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 y)) (sqrt.f64 y))))))
(.f64 (/.f64 (/.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 y)) (sqrt.f64 y)))))) (.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y))))))) (.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))) (*.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y))))))))
(/.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 y)) (sqrt.f64 y))))) 1)
(/.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))))
(/.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 y)) (sqrt.f64 y))))) 2) 2)
(pow.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 y)) (sqrt.f64 y))))) 1)

Outputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 y)) 1)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(-.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)) (+.f64 (sqrt.f64 (+.f64 1 x)) 2)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.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)) (+.f64 (sqrt.f64 (+.f64 1 x)) 1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) 1)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (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 y)) (sqrt.f64 y))))) 0)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.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 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(*.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 y)) (sqrt.f64 y))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(*.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 y)) (sqrt.f64 y))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(*.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.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 y)) (sqrt.f64 y))))) (.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(*.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 y)) (sqrt.f64 y))))) (/.f64 1 (/.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y))))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(*.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))) (+.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 y)) (sqrt.f64 y))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.f64 (/.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 y)) (sqrt.f64 y)))))) (.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))) (/.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 y)) (sqrt.f64 y)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))))) (+.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 y)) (sqrt.f64 y))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(.f64 (/.f64 (/.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 y)) (sqrt.f64 y)))))) (.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y))))))) (.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))) (*.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y))))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(/.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 y)) (sqrt.f64 y))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(/.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 y)) (sqrt.f64 y))))) (/.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 y)) (sqrt.f64 y))))) (+.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 y)) (sqrt.f64 y)))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(/.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 y)) (sqrt.f64 y))))) 2) 2)
(/.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) 2)
(/.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)
(/.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) 2)
(/.f64 (*.f64 2 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) 2)
(pow.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 y)) (sqrt.f64 y))))) 1)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))

localize123.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	3.6b	(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y))))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 169 to 104 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y))))

1.0ms

-inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y))))

0.0ms

(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y))))

rewrite317.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`rational_best.json-simplify-57`
700×	`rational_best.json-simplify-44`
604×	`rational_best.json-2`
604×	`rational_best.json-3`
604×	`rational_best.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	110	41
2	348	37
3	1399	25
4	5921	25

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y))))

Outputs

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational_best.json-simplify-2`
1128×	`rational_best.json-simplify-80`
1020×	`rational_best.json-simplify-78`
602×	`rational_best.json-simplify-49`
590×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	526
1	94	526
2	472	526
3	2178	526
4	4538	526

Stop Event

1×	node limit

Counts

22 → 23

Calls

Call 1

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

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

localize317.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 222 to 140 computations (36.9% 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))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`rational_best.json-simplify-82`
868×	`rational_best.json-simplify-57`
672×	`rational_best.json-simplify-80`
632×	`rational_best.json-simplify-43`
568×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	74	21
2	247	21
3	1011	21
4	4255	21

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify304.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational_best.json-simplify-80`
926×	`rational_best.json-simplify-78`
862×	`rational_best.json-simplify-2`
740×	`rational_best.json-simplify-132`
670×	`rational_best.json-simplify-24`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1124
1	155	1116
2	553	976
3	1449	968
4	3839	968
5	6786	968

Stop Event

1×	node limit

Counts

42 → 51

Calls

Call 1

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

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

localize305.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
✓	4.3b	(-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))

Compiler

Compiled 220 to 138 computations (37.3% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite175.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`rational_best.json-simplify-82`
868×	`rational_best.json-simplify-57`
672×	`rational_best.json-simplify-80`
632×	`rational_best.json-simplify-43`
568×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	74	21
2	247	21
3	1011	21
4	4255	21

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify410.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational_best.json-simplify-80`
926×	`rational_best.json-simplify-78`
862×	`rational_best.json-simplify-2`
740×	`rational_best.json-simplify-132`
670×	`rational_best.json-simplify-24`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1124
1	155	1116
2	553	976
3	1449	968
4	3839	968
5	6786	968

Stop Event

1×	node limit

Counts

42 → 51

Calls

Call 1

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

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

eval1.8s (6.5%)

Compiler: Compiled 46077 to 29343 computations (36.3% saved)

prune833.0ms (3%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	822	11	833
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	823	18	841

Error

4.6b

Counts

841 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	56.2b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
	43.4b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
	60.7b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
▶	60.7b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) 1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.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))))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	19.2b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2))) (*.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	8.3b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 1) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.9b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
▶	4.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (-.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))))
	5.4b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 1))) (-.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))))
	4.9b	(+.f64 (+.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))

Compiler

Compiled 1437 to 1071 computations (25.5% saved)

localize241.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 377 to 242 computations (35.8% saved)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	4.4b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) 1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))

Compiler

Compiled 64 to 42 computations (34.4% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

9 calls:

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

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational_best.json-5`
876×	`rational_best.json-2`
876×	`rational_best.json-3`
876×	`rational_best.json-1`
876×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	136	64
2	456	64
3	1897	64

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational_best.json-simplify-132`
1014×	`rational_best.json-simplify-2`
814×	`rational_best.json-simplify-1`
606×	`rational_best.json-simplify-80`
560×	`rational_best.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1946
1	229	1946
2	491	1946
3	1680	1854
4	4000	1854

Stop Event

1×	node limit

Counts

54 → 77

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

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

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 y))
✓	4.5b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))

Compiler

Compiled 65 to 43 computations (33.8% saved)

series103.0ms (0.4%)

Counts

2 → 8

Calls

9 calls:

Time	Variable		Point	Expression
100.0ms	t	@	-inf	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
1.0ms	y	@	inf	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
0.0ms	y	@	-inf	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
0.0ms	t	@	inf	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
0.0ms	y	@	0	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`rational_best.json-5`
874×	`rational_best.json-2`
874×	`rational_best.json-3`
874×	`rational_best.json-1`
874×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	141	64
2	454	64
3	1892	64

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational_best.json-simplify-80`
1286×	`rational_best.json-simplify-78`
1240×	`rational_best.json-simplify-94`
1080×	`rational_best.json-simplify-135`
766×	`rational_best.json-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2226
1	237	2226
2	798	2134
3	3910	2134

Stop Event

1×	node limit

Counts

54 → 74

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

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

localize299.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))

Compiler

Compiled 196 to 126 computations (35.7% saved)

localize122.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))
✓	4.5b	(+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))

Compiler

Compiled 296 to 197 computations (33.4% saved)

series3.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))

1.0ms

-inf

(+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))

0.0ms

(+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))

rewrite113.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational_best.json-simplify-57`
644×	`rational_best.json-simplify-44`
590×	`rational_best.json-2`
590×	`rational_best.json-3`
590×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	110	47
2	344	47
3	1361	47
4	5706	47

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))

Outputs

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

simplify148.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best.json-simplify-2`
1120×	`rational_best.json-simplify-80`
1016×	`rational_best.json-simplify-78`
602×	`rational_best.json-simplify-49`
584×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1035
1	102	1035
2	475	1035
3	2172	1035
4	4521	1035

Stop Event

1×	node limit

Counts

23 → 24

Calls

Call 1

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

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

eval591.0ms (2.2%)

Compiler: Compiled 42643 to 27933 computations (34.5% saved)

prune208.0ms (0.8%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	688	10	698
Fresh	2	6	8
Picked	0	1	1
Done	2	7	9
Total	692	24	716

Error

4.6b

Counts

716 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	56.1b	(-.f64 (+.f64 (+.f64 1 (*.f64 y 1/2)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
▶	60.7b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (+.f64 (*.f64 1/2 x) 1) 1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
	56.2b	(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
	43.4b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
	36.3b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
▶	60.9b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.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))))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	19.2b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2))) (*.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
✓	8.3b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 1) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.9b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
✓	4.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (-.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))))
	5.4b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 1))) (-.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))))
▶	4.9b	(+.f64 (+.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
	49.3b	(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
	41.8b	(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))

Compiler

Compiled 1636 to 1232 computations (24.7% saved)

localize119.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 341 to 218 computations (36.1% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 t)))
✓	4.4b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series2.0ms (0%)

Counts

2 → 6

Calls

6 calls:

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

rewrite344.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational_best.json-simplify-57`
756×	`rational_best.json-simplify-80`
522×	`rational_best.json-simplify-78`
518×	`rational_best.json-simplify-77`
518×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	81	44
2	268	44
3	1131	44
4	4834	44

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify185.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

928×	`rational_best.json-simplify-80`
908×	`rational_best.json-simplify-24`
898×	`rational_best.json-simplify-29`
866×	`rational_best.json-simplify-78`
826×	`rational_best.json-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1691
1	293	1691
2	946	1691
3	3335	1691
4	6134	1691

Stop Event

1×	node limit

Counts

71 → 88

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (+.f64 (*.f64 1/2 x) 1) 1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))

Compiler

Compiled 69 to 47 computations (31.9% saved)

series2.0ms (0%)

Counts

1 → 5

Calls

6 calls:

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

rewrite159.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`rational_best.json-5`
872×	`rational_best.json-2`
872×	`rational_best.json-3`
872×	`rational_best.json-1`
872×	`exponential.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	145	49
2	473	49
3	1958	49

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify324.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best.json-simplify-80`
1222×	`rational_best.json-simplify-78`
1186×	`rational_best.json-simplify-94`
1164×	`rational_best.json-simplify-24`
1064×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	1507
1	135	1507
2	603	1415
3	3402	1415
4	7234	1415

Stop Event

1×	node limit

Counts

31 → 40

Calls

Call 1

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

Outputs
(-.f64 (+.f64 3 (*.f64 1/2 x)) (sqrt.f64 x))
(-.f64 (+.f64 2 (*.f64 1/2 x)) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) 2) (sqrt.f64 x))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (*.f64 1/2 x) 2)) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
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(+.f64 (+.f64 (*.f64 1/2 x) 2) (+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (+.f64 (*.f64 1/2 x) 2) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	1.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.9b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 105 to 66 computations (37.1% saved)

series4.0ms (0%)

Counts

1 → 6

Calls

9 calls:

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

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational_best.json-5`
1244×	`rational_best.json-2`
1244×	`rational_best.json-3`
1244×	`rational_best.json-1`
1244×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	185	79
2	634	79
3	2700	79

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

simplify250.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational_best.json-simplify-132`
1106×	`rational_best.json-simplify-1`
968×	`rational_best.json-simplify-2`
780×	`rational_best.json-simplify-47`
634×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1594
1	129	1594
2	372	1594
3	1677	1594
4	3607	1594
5	6882	1594

Stop Event

1×	node limit

Counts

22 → 41

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 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 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 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 0)
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 1)
(*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (/.f64 1 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))
(.f64 (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 1)
(/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 2)
(pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 1)

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)) (+.f64 2 (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 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.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)) (+.f64 (sqrt.f64 (+.f64 1 x)) 2)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 2 (sqrt.f64 (+.f64 1 t)))) (+.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)) (+.f64 (sqrt.f64 (+.f64 1 x)) 1)) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))
(-.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 x)) (+.f64 2 (sqrt.f64 (+.f64 1 z)))) (+.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 x)) (+.f64 (sqrt.f64 (+.f64 1 z)) 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 0)
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(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) -1)
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(*.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))
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(.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))))
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(*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) (/.f64 1 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 1 (+.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 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 1 (+.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 1 (+.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.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 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 1 (+.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))) 2) 2)
(/.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))) 2)
(/.f64 (*.f64 2 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)
(/.f64 (*.f64 2 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))) 2)
(/.f64 (*.f64 2 (+.f64 1 (+.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)
(pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (-.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 z)) (sqrt.f64 z)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))
(+.f64 1 (+.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)))))

localize296.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))
✓	4.4b	(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) 2))
	4.5b	(+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))

Compiler

Compiled 355 to 228 computations (35.8% saved)

series2.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) 2))

1.0ms

inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) 2))

0.0ms

(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) 2))

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`rational_best.json-simplify-57`
704×	`rational_best.json-simplify-44`
600×	`rational_best.json-2`
600×	`rational_best.json-3`
600×	`rational_best.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	111	37
2	353	25
3	1398	25
4	5862	25

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) 2))

Outputs

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

simplify140.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational_best.json-simplify-2`
1120×	`rational_best.json-simplify-80`
1016×	`rational_best.json-simplify-78`
600×	`rational_best.json-simplify-49`
584×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	551
1	99	551
2	479	551
3	2192	551
4	4543	551

Stop Event

1×	node limit

Counts

23 → 24

Calls

Call 1

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

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

eval781.0ms (2.9%)

Compiler: Compiled 31553 to 20695 computations (34.4% saved)

prune206.0ms (0.8%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	553	9	562
Fresh	3	8	11
Picked	0	1	1
Done	4	8	12
Total	560	26	586

Error

4.6b

Counts

586 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	41.8b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
	41.7b	(-.f64 (+.f64 3 (*.f64 1/2 x)) (sqrt.f64 x))
	56.2b	(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
	43.4b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.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))))
✓	4.8b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (neg.f64 (*.f64 2 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	18.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 (.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	19.2b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	19.3b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (neg.f64 (*.f64 (sqrt.f64 z) 2)))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) (.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2))) (*.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2))) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
	41.1b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) 2))) (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) (neg.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))))
✓	8.3b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (/.f64 1 1) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	38.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.9b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
✓	4.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (-.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))))
	5.4b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 1))) (-.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))))
✓	4.9b	(+.f64 (+.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
	4.8b	(+.f64 (+.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
	4.9b	(+.f64 (+.f64 (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))) (-.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))))
	49.3b	(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
	36.2b	2
	42.0b	1

Compiler

Compiled 1188 to 887 computations (25.3% saved)

regimes474.0ms (1.7%)

Counts

39 → 1

Calls

Call 1

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

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:

296.0ms	x
30.0ms	t
20.0ms	z
20.0ms	y
14.0ms	(+.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)))

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 1514 to 1001 computations (33.9% saved)

regimes148.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	z
35.0ms	x
34.0ms	t
25.0ms	y
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
16.7b	2	`x`
8.8b	2	`y`
15.9b	4	`z`
17.7b	3	`t`
19.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 337 to 228 computations (32.3% saved)

bsearch52.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	0.0008449648737450208	0.9732582725229547

Results

31.0ms	82×	body	512	valid
14.0ms	20×	body	1024	valid
5.0ms	26×	body	256	valid

Compiler

Compiled 330 to 273 computations (17.3% saved)

regimes203.0ms (0.7%)

Counts

18 → 6

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
1
2
1

Calls

5 calls:

59.0ms	t
58.0ms	z
47.0ms	y
29.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
30.8b	3	`x`
19.4b	5	`y`
16.0b	6	`z`
25.3b	6	`t`
36.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 281 to 192 computations (31.7% saved)

bsearch155.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
35.0ms	3.0773945183106324e+172	9.502235211921559e+172
0.0ms	4.887568216893192e+159	5.061231271329129e+159
56.0ms	1.3805952096472299e+129	6.3437291632101886e+131
16.0ms	3760413027932465.0	4682371396340222.0
46.0ms	9.61000117551081e-25	4.6944150393916904e-23

Results

92.0ms	256×	body	512	valid
46.0ms	73×	body	1024	valid
7.0ms	39×	body	256	valid

Compiler

Compiled 734 to 621 computations (15.4% saved)

regimes195.0ms (0.7%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	z
54.0ms	t
46.0ms	y
29.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
30.8b	3	`x`
19.4b	5	`y`
16.0b	6	`z`
25.3b	6	`t`
36.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 256 to 176 computations (31.3% saved)

bsearch156.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
37.0ms	3.0773945183106324e+172	9.502235211921559e+172
0.0ms	4.887568216893192e+159	5.061231271329129e+159
53.0ms	1.3805952096472299e+129	6.3437291632101886e+131
23.0ms	3760413027932465.0	4682371396340222.0
42.0ms	9.61000117551081e-25	4.6944150393916904e-23

Results

101.0ms	258×	body	512	valid
43.0ms	72×	body	1024	valid
7.0ms	38×	body	256	valid

Compiler

Compiled 692 to 593 computations (14.3% saved)

regimes222.0ms (0.8%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	t
61.0ms	x
45.0ms	z
43.0ms	y

Results

Error	Segments	Branch
29.8b	7	`x`
21.5b	5	`y`
19.6b	5	`z`
25.3b	6	`t`

Compiler

Compiled 226 to 154 computations (31.9% saved)

bsearch295.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	3.0773945183106324e+172	9.502235211921559e+172
0.0ms	4.887568216893192e+159	5.061231271329129e+159
245.0ms	1.3805952096472299e+129	6.3437291632101886e+131
16.0ms	3760413027932465.0	4682371396340222.0

Results

157.0ms	51×	body	1024	valid
132.0ms	192×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 370 to 327 computations (11.6% saved)

regimes365.0ms (1.3%)

Counts

14 → 5

Calls

Call 1

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

Outputs
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
1
2
1

Calls

4 calls:

181.0ms	x
102.0ms	z
49.0ms	t
24.0ms	y

Results

Error	Segments	Branch
33.2b	2	`x`
23.8b	3	`y`
22.7b	5	`z`
27.2b	6	`t`

Compiler

Compiled 191 to 130 computations (31.9% saved)

bsearch295.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
38.0ms	3.0773945183106324e+172	9.502235211921559e+172
0.0ms	4.887568216893192e+159	5.061231271329129e+159
159.0ms	1.3805952096472299e+129	6.3437291632101886e+131
97.0ms	0.008826845539624395	1.6579988950517468

Results

252.0ms	230×	body	512	valid
34.0ms	68×	body	1024	valid
4.0ms	22×	body	256	valid

Compiler

Compiled 458 to 405 computations (11.6% saved)

regimes203.0ms (0.7%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

95.0ms	z
70.0ms	x
25.0ms	t
12.0ms	y

Results

Error	Segments	Branch
33.2b	2	`x`
23.8b	3	`y`
22.7b	5	`z`
30.9b	5	`t`

Compiler

Compiled 52 to 41 computations (21.2% saved)

bsearch465.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
107.0ms	3.0773945183106324e+172	9.502235211921559e+172
0.0ms	4.887568216893192e+159	5.061231271329129e+159
177.0ms	1.3805952096472299e+129	6.3437291632101886e+131
181.0ms	0.008826845539624395	1.6579988950517468

Results

212.0ms	246×	body	512	valid
142.0ms	23×	body	256	valid
106.0ms	51×	body	1024	valid

Compiler

Compiled 451 to 398 computations (11.8% saved)

regimes257.0ms (0.9%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

4 calls:

181.0ms	y
45.0ms	t
20.0ms	z
10.0ms	x

Results

Error	Segments	Branch
33.2b	2	`x`
23.8b	3	`y`
22.7b	5	`z`
30.9b	5	`t`

Compiler

Compiled 43 to 35 computations (18.6% saved)

bsearch407.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
138.0ms	3.0773945183106324e+172	9.502235211921559e+172
0.0ms	4.887568216893192e+159	5.061231271329129e+159
162.0ms	1.3805952096472299e+129	6.3437291632101886e+131
106.0ms	0.008826845539624395	1.6579988950517468

Results

209.0ms	69×	body	1024	valid
187.0ms	219×	body	512	valid
6.0ms	32×	body	256	valid

Compiler

Compiled 331 to 308 computations (6.9% saved)

regimes42.0ms (0.2%)

Accuracy

Total -26.7b remaining (-103.8%)

Threshold costs -26.7b (-103.8%)

Counts

2 → 2

Calls

Call 1

Inputs
1
2

Outputs
2
1

Calls

4 calls:

14.0ms	z
13.0ms	t
8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
33.2b	2	`x`
25.8b	2	`y`
32.9b	4	`z`
33.5b	4	`t`

Compiler

Compiled 26 to 22 computations (15.4% saved)

bsearch180.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
179.0ms	0.0008449648737450208	0.9732582725229547

Results

124.0ms	69×	body	512	valid
48.0ms	26×	body	1024	valid
6.0ms	33×	body	256	valid

Compiler

Compiled 138 to 129 computations (6.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	958

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)))
(if (<=.f64 y 1080863910568919/1125899906842624) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) 1)
(if (<=.f64 z 552958846246525/85070591730234615865843651857942052864) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (if (<=.f64 z 4500000000000000) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) 2 1)))))
(if (<=.f64 z 110591769249305/42535295865117307932921825928971026432) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (if (<=.f64 z 4500000000000000) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 52000000000000000180853872491135894128328160769955693387236798319946645613740979481412294614841672989393617344248248593036649512650363995764080201506567773646793251666001920) 2 1)))))
(if (<=.f64 z 4500000000000000) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) 2 1))))
(if (<=.f64 z 5188146770730811/144115188075855872) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (if (<=.f64 z 30499999999999999483889768593652059918767329323604106985036377285996229118111028478657478857606254227787271192553320628272410656768) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) 2 1))))
(if (<=.f64 z 3602879701896397/9007199254740992) (-.f64 (+.f64 3 (*.f64 1/2 x)) (sqrt.f64 x)) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) 2 1))))
(if (<=.f64 z 3242591731706757/18014398509481984) (-.f64 (+.f64 3 (*.f64 1/2 x)) (sqrt.f64 x)) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) 2 (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) 2 1))))
(if (<=.f64 y 1080863910568919/1125899906842624) 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)))
(if (<=.f64 y 1080863910568919/1125899906842624) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) 1)
(if (<=.f64 z 552958846246525/85070591730234615865843651857942052864) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (if (<=.f64 z 4500000000000000) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) 2 1)))))
(if (<=.f64 z 110591769249305/42535295865117307932921825928971026432) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) (if (<=.f64 z 4500000000000000) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (if (<=.f64 z 629999999999999995798707711343383403613725179494710046753167673524749432267259506976485919271409613789420069696169514749008480829440) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112) 1 (if (<=.f64 z 52000000000000000180853872491135894128328160769955693387236798319946645613740979481412294614841672989393617344248248593036649512650363995764080201506567773646793251666001920) 2 1)))))
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(if (<=.f64 y 1080863910568919/1125899906842624) 2 1)
1

Compiler

Compiled 396 to 310 computations (21.7% saved)

soundness0.0ms (0%)

end442.0ms (1.6%)

Compiler: Compiled 430 to 310 computations (27.9% saved)