Details

analyze522.0ms (1.7%)

Algorithm

1×

Search

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

sample9.6s (32.1%)

Results

4.4s	16173×	body	256	invalid
2.3s	4516×	body	512	valid
2.3s	1796×	body	1024	valid
526.0ms	1944×	body	256	valid

Bogosity

preprocess11.0ms (0%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
0
3
0

Call 2

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

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

Symmetry

(sort x y z t)

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

4.6b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.6b	(+.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)))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize93.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	4.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
✓	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 142 to 87 computations (38.7% 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))

rewrite148.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`rational.json-1`
1298×	`exponential.json-3`
1298×	`rational.json-2`
1298×	`rational.json-4`
1298×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	84
1	163	84
2	313	84
3	642	84
4	1285	84
5	3057	84
6	5487	84
7	6723	84
8	7942	84

Stop Event

1×	node limit

Counts

4 → 140

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

simplify264.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-35`
1268×	`rational.json-simplify-45`
1190×	`rational.json-simplify-52`
950×	`rational.json-simplify-48`
920×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3620
1	513	3372
2	1424	3248
3	2958	3248
4	4075	3248
5	5417	3248
6	6511	3248
7	7248	3248

Stop Event

1×	node limit

Counts

144 → 154

Calls

Call 1

Inputs
1
1
1
1
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) -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 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))))
(+.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (-.f64 z -1)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z))) -1)
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 z -1)) (sqrt.f64 z)) 1/2))
(+.f64 -2 (-.f64 (sqrt.f64 (-.f64 z -1)) (-.f64 (sqrt.f64 z) 2)))
(+.f64 (-.f64 -1 (.f64 1/2 (-.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z -1))))) (-.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 z -1))))))
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Outputs
1
1
1
1
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(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
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(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
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eval126.0ms (0.4%)

Compiler: Compiled 5429 to 3548 computations (34.6% saved)

prune75.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	4	155

Error

4.4b

Counts

155 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.6b	(+.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)))))
▶	37.5b	(+.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)) 1)))
▶	4.6b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 -2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -2)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	4.7b	(+.f64 (+.f64 -2 (-.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 x) 2))) (+.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)))))

Compiler

Compiled 142 to 112 computations (21.1% saved)

localize133.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 x) 2))
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 166 to 106 computations (36.1% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`rational.json-simplify-35`
1508×	`rational.json-1`
1508×	`rational.json-2`
1508×	`rational.json-4`
1508×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	74	27
2	156	27
3	308	27
4	601	27
5	1394	27
6	3388	27
7	5240	27
8	7106	27

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 4 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)) (-.f64 1 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) (.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 4 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)) (-.f64 1 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)))))))

simplify321.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2368×	`rational.json-simplify-1`
1798×	`rational.json-simplify-35`
1226×	`rational.json-simplify-48`
1226×	`rational.json-simplify-2`
886×	`rational.json-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1652
1	223	1652
2	498	1358
3	1313	1358
4	2809	1358
5	3763	1358
6	5427	1358
7	6504	1358
8	7030	1358
9	7229	1358
10	7432	1358
11	7610	1358

Stop Event

1×	node limit

Counts

52 → 55

Calls

Call 1

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

Outputs
3
2
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(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)) 16)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)) -8)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))) 32)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)) 4)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) -16)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) 64)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) 8)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))))) 128)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4))) (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4)))) 16)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))))
(+.f64 (-.f64 3 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	3.0b	(+.f64 -2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -2))
	4.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 175 to 114 computations (34.9% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite145.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`exponential.json-3`
1508×	`rational.json-1`
1508×	`rational.json-2`
1508×	`rational.json-4`
1508×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	89	33
2	189	33
3	363	21
4	713	21
5	1681	21
6	3918	21
7	5944	21
8	7569	21

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (*.f64 2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1/2) (*.f64 1/2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) -1) (+.f64 (sqrt.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) -1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 1/2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) 4) (/.f64 (sqrt.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) 4) 1) (/.f64 (sqrt.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) 1/2) 1/2) (/.f64 (sqrt.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))))))

simplify253.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1760×	`rational.json-simplify-35`
1666×	`rational.json-simplify-2`
836×	`rational.json-simplify-26`
824×	`rational.json-simplify-51`
806×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	985
1	229	979
2	515	979
3	2336	979
4	4411	979
5	6317	979
6	7018	979
7	7364	979
8	7551	979
9	7741	979
10	7923	979

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

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

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

localize98.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 1)))
	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 107 to 68 computations (36.4% saved)

series5.0ms (0%)

Counts

1 → 6

Calls

9 calls:

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

rewrite212.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`rational.json-1`
1374×	`exponential.json-3`
1374×	`rational.json-2`
1374×	`rational.json-4`
1374×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	156	79
2	322	79
3	697	79
4	1673	79
5	3757	79
6	5539	79
7	7037	79
8	7991	79

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(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 (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 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4))))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 2) 1/2)))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4))))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 1/2) 2)))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4) 4)))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 1)))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 2) 2)))) (#(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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))) 1)))))

simplify1.2s (3.9%)

Algorithm

1×	egg-herbie

Rules

3586×	`rational.json-simplify-51`
3128×	`rational.json-simplify-2`
2088×	`rational.json-simplify-1`
1366×	`rational.json-simplify-48`
1346×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1977
1	186	1977
2	457	1977
3	1111	1977
4	1889	1977
5	2485	1977
6	2800	1977
7	3122	1977
8	3406	1977
9	3511	1977
10	3542	1977
11	3883	1977
12	4295	1977
13	4357	1977
14	4463	1977
15	4536	1977
16	4631	1977
17	4709	1977
18	4868	1977
19	4925	1977
20	4957	1977
21	4983	1977
22	5007	1977
23	5483	1977
24	6894	1977
25	7209	1977
26	7247	1977
27	7282	1977
28	7321	1977
29	7355	1977
30	7909	1977
31	7933	1977
32	7955	1977
33	7977	1977
34	7999	1977

Stop Event

1×	node limit

Counts

27 → 54

Calls

Call 1

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

eval935.0ms (3.1%)

Compiler: Compiled 17361 to 11835 computations (31.8% saved)

prune333.0ms (1.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	491	9	500
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	492	12	504

Error

4.4b

Counts

504 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.6b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
✓	4.6b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 -2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -2)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	18.9b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	50.0b	(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
✓	4.7b	(+.f64 (+.f64 -2 (-.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 x) 2))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
▶	4.7b	(+.f64 (+.f64 -2 (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (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)))))
	5.7b	(+.f64 (+.f64 -2 3) (+.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)))))
▶	37.8b	(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
	38.2b	(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
▶	32.7b	(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
	31.1b	(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
▶	41.4b	(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))

Compiler

Compiled 565 to 453 computations (19.8% saved)

localize213.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (sqrt.f64 x)))
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 173 to 109 computations (37% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite139.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational.json-1`
1520×	`rational.json-simplify-35`
1190×	`exponential.json-3`
1190×	`rational.json-2`
1190×	`rational.json-4`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	89	31
2	187	31
3	384	31
4	859	31
5	1815	31
6	3012	27
7	4524	27
8	5981	27
9	7907	27

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (sqrt.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)))))

simplify374.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2366×	`rational.json-simplify-2`
1668×	`rational.json-simplify-1`
1582×	`rational.json-simplify-49`
1488×	`rational.json-simplify-48`
1482×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	686
1	133	686
2	330	686
3	977	686
4	1633	686
5	1942	686
6	2046	686
7	2269	686
8	2578	686
9	2753	686
10	3929	686
11	4526	686
12	4651	686
13	4768	686
14	5326	686
15	5455	686
16	5567	686
17	5707	686
18	5781	686
19	7226	686

Stop Event

1×	node limit

Counts

26 → 28

Calls

Call 1

Inputs
3
2
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 0)
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 1/2)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)
(.f64 (+.f64 (.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) 1/2)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))))) 128)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)

Outputs
3
2
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 0)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 3 (sqrt.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 1/2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(.f64 (+.f64 (.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))) 1/2)
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 x) -2) (*.f64 2 (+.f64 2 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8) 8)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)) 16)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))) 32)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8)))) 64)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 8))))) 128)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 2 (sqrt.f64 x)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 43 computations (39.4% saved)

series6.0ms (0%)

Counts

4 → 20

Calls

21 calls:

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

rewrite177.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational.json-simplify-35`
1616×	`rational.json-1`
1616×	`rational.json-2`
1616×	`rational.json-4`
1616×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	118	138
2	246	138
3	542	138
4	1283	138
5	2819	138
6	4687	138
7	7021	138

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2) (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2)) (-.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 (+.f64 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(.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) (neg.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 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 (.f64 (sqrt.f64 (+.f64 1 y)) 1/2) (.f64 (sqrt.f64 (+.f64 1 y)) 1/2))))) (#(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 2 (.f64 (sqrt.f64 (+.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (+.f64 1 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 1 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1 y)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 y)) 1)))))
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4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))))))

simplify280.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational.json-simplify-51`
1424×	`rational.json-simplify-2`
1358×	`rational.json-simplify-35`
1084×	`rational.json-simplify-52`
878×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	5333
1	536	5333
2	1381	5333
3	2976	5333
4	4796	5333
5	6180	5333
6	6860	5333
7	7986	5333

Stop Event

1×	node limit

Counts

139 → 196

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
(+.f64 1 (sqrt.f64 (+.f64 1 t)))
(+.f64 1 (+.f64 (*.f64 1/2 y) (sqrt.f64 (+.f64 1 t))))
(+.f64 1 (+.f64 (.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 -1/8 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/2 y) (+.f64 (.f64 1/16 (pow.f64 y 3)) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 -1/8 (pow.f64 y 2))))))
(+.f64 1 (sqrt.f64 (+.f64 1 y)))
(+.f64 1 (+.f64 (*.f64 1/2 t) (sqrt.f64 (+.f64 1 y))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (sqrt.f64 (+.f64 1 y)))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 1/16 (pow.f64 t 3))))))
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 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 0)
(+.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) -1)
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 -1 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))
(+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2) (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2))
(+.f64 -2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2)) (-.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)
(*.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4))
(*.f64 4 (-.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 4)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2) 1/2)
(*.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) -1)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4))
(.f64 1/4 (-.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 4)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2) -2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2) 2)
(/.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) -1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) -8)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 4))))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) (neg.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))))) 8)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1)
(neg.f64 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1/2))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 2) 1/2)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 2))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 2) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 4))))) 64)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) 1)
(+.f64 (sqrt.f64 (+.f64 1 y)) 0)
(+.f64 0 (sqrt.f64 (+.f64 1 y)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 y)) 1/2) (.f64 (sqrt.f64 (+.f64 1 y)) 1/2))
(-.f64 (sqrt.f64 (+.f64 1 y)) 0)
(*.f64 1 (sqrt.f64 (+.f64 1 y)))
(*.f64 (sqrt.f64 (+.f64 1 y)) 1)
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 1/2))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 y)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 y)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (+.f64 1 y)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 y)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 1 y)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 y)) 4))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 1 y)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1 y)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 y)) 4))))) 64)
(pow.f64 (sqrt.f64 (+.f64 1 y)) 1)
(-.f64 1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -1)
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 0)
(-.f64 0 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))
(-.f64 (+.f64 1 (+.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 1 t))) (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2)) 1)
(-.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2) (/.f64 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))) 2))
(-.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 1/2) -1) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) -2))
(*.f64 1 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))
(*.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(*.f64 -1 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))
(.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2))
(*.f64 4 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))
(.f64 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2)) 1/2)
(.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 1/4)
(*.f64 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))) -1)
(.f64 1/2 (+.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2)))
(.f64 1/4 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))
(.f64 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2) 2)
(*.f64 (/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)
(/.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(/.f64 (+.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) 2)) 2)
(/.f64 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)
(/.f64 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))) -1)
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4)))) 32)
(/.f64 (neg.f64 (*.f64 2 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))) (neg.f64 (.f64 2 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))))))) 4)
(pow.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(neg.f64 (+.f64 -1 (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))))))

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
	0.0b	(sqrt.f64 (+.f64 1 y))
	0.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))
	3.6b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))

Compiler

Compiled 72 to 44 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`rational.json-1`
1736×	`rational.json-2`
1736×	`rational.json-3`
1526×	`rational.json-simplify-35`
1200×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	122	53
2	242	53
3	512	53
4	1174	53
5	2496	53
6	4568	53
7	7384	53

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)))))

simplify972.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3958×	`rational.json-simplify-41`
1948×	`rational.json-simplify-2`
1824×	`rational.json-simplify-35`
1276×	`rational.json-simplify-49`
1080×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	1115
1	124	1115
2	315	1115
3	897	1115
4	1532	1115
5	2503	1115
6	2897	1115
7	2932	1115
8	2964	1115
9	2993	1115
10	3019	1115
11	3045	1115
12	3080	1115
13	3106	1115
14	3132	1115
15	3158	1115
16	3184	1115
17	3210	1115
18	3236	1115
19	4136	1115
20	7443	1115
21	7549	1115
22	7598	1115
23	7639	1115
24	7675	1115
25	7709	1115
26	7742	1115
27	7773	1115
28	7802	1115
29	7831	1115
30	7860	1115
31	7889	1115
32	7918	1115
33	7947	1115
34	7976	1115

Stop Event

1×	node limit

Counts

23 → 35

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))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 0)
(.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2))
(*.f64 1 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))
(*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(.f64 (.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) 1/2)
(*.f64 4 (/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))
(.f64 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))
(.f64 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))
(*.f64 (/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)
(/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(/.f64 (*.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) 2)
(/.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)
(/.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8)))) 64)
(pow.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)

Outputs
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (sqrt.f64 t))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (sqrt.f64 t)))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 3 (sqrt.f64 y)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 0)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(*.f64 1 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(.f64 (.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) 1/2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(*.f64 4 (/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(.f64 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 1/4)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(.f64 1/2 (.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(.f64 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1/2) 2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(.f64 1/4 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(*.f64 (/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (*.f64 2 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) 2)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 4) 4)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8) 8)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8)) 16)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8))) 32)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 8)))) 64)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(pow.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))) 1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))

localize59.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 y))
✓	2.6b	(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
✓	6.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))

Compiler

Compiled 69 to 38 computations (44.9% saved)

series4.0ms (0%)

Counts

2 → 7

Calls

12 calls:

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

rewrite191.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-1`
1348×	`exponential.json-3`
1348×	`rational.json-2`
1348×	`rational.json-4`
1348×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	118	84
2	243	84
3	498	84
4	1089	84
5	2307	84
6	4142	84
7	6258	84
8	7889	84

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 1/2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))) (-.f64 1 (*.f64 1/2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 t)) 4) (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))) 1/2) (*.f64 (sqrt.f64 (+.f64 1 y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) 1/2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))) 2) (*.f64 (sqrt.f64 (+.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 y)) 2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 1)))))

simplify547.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1796×	`rational.json-simplify-35`
1656×	`rational.json-simplify-1`
1566×	`rational.json-simplify-52`
1504×	`rational.json-simplify-2`
882×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	143	3020
1	301	2730
2	752	2730
3	2136	2730
4	3693	2730
5	4295	2586
6	4615	2586
7	5092	2586
8	5436	2586
9	6168	2586
10	6874	2586
11	7367	2586
12	7493	2586
13	7539	2586
14	7564	2586

Stop Event

1×	node limit

Counts

68 → 85

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 y))
(*.f64 -1 (sqrt.f64 y))
(*.f64 (sqrt.f64 y) -1)
(neg.f64 (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (sqrt.f64 t)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 2 (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (-.f64 1 (sqrt.f64 y)) (sqrt.f64 (-.f64 y -1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 0)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))) -1)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 t)))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 -2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(+.f64 (-.f64 -1 (.f64 1/2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))) (-.f64 1 (.f64 1/2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 t)) 4) (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 4)))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 t)) 4) (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 t)) 4)))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) 1/2)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))) -1)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4) 1/4)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1/2) 2)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(.f64 (.f64 1/2 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))) -2)
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t))))))
(neg.f64 (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 t)))))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (sqrt.f64 t)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 4) 4)
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(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) -1)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (+.f64 -1 (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (-.f64 y -1)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 y) (+.f64 -1 (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (+.f64 (sqrt.f64 y) (sqrt.f64 t)))))

localize92.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 107 to 68 computations (36.4% saved)

series5.0ms (0%)

Counts

1 → 6

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
1.0ms	z	@	-inf	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
0.0ms	t	@	-inf	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
0.0ms	x	@	-inf	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
0.0ms	t	@	inf	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))

rewrite118.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	157	79
2	324	79
3	707	79
4	1680	79
5	3767	79
6	5540	79
7	7068	79

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))))

simplify1.3s (4.5%)

Algorithm

1×	egg-herbie

Rules

2378×	`rational.json-simplify-49`
2096×	`rational.json-simplify-1`
1978×	`rational.json-simplify-2`
1874×	`rational.json-simplify-48`
1852×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1855
1	179	1855
2	406	1855
3	988	1855
4	2536	1855
5	3703	1855
6	4114	1855
7	4388	1855
8	4728	1855
9	4792	1855
10	4829	1855
11	5937	1855
12	6062	1855
13	6090	1855
14	6307	1855
15	6403	1855
16	6458	1855
17	7025	1855
18	7071	1855
19	7113	1855
20	7147	1855
21	7175	1855
22	7295	1855
23	7323	1855
24	7351	1855
25	7377	1855
26	7403	1855
27	7429	1855
28	7455	1855
29	7481	1855
30	7507	1855
31	7533	1855
32	7559	1855
33	7585	1855
34	7611	1855
35	7637	1855
36	7663	1855
37	7689	1855
38	7715	1855
39	7741	1855

Stop Event

1×	node limit

Counts

25 → 56

Calls

Call 1

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

eval349.0ms (1.2%)

Compiler: Compiled 20727 to 13934 computations (32.8% saved)

prune375.0ms (1.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	805	9	814
Fresh	2	2	4
Picked	1	0	1
Done	3	4	7
Total	811	15	826

Error

4.4b

Counts

826 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.7b	(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
	34.4b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
✓	4.6b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
✓	4.6b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 -2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) -2)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	21.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
	41.9b	(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
	50.0b	(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
✓	4.7b	(+.f64 (+.f64 -2 (-.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 x) 2))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
✓	4.7b	(+.f64 (+.f64 -2 (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (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)))))
▶	5.7b	(+.f64 (+.f64 -2 3) (+.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)))))
▶	53.6b	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
▶	37.6b	(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
	23.1b	(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
▶	41.5b	(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
	25.8b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))

Compiler

Compiled 571 to 463 computations (18.9% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 -2 3) (+.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)))))
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
	4.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 126 to 81 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 6

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(+.f64 (+.f64 -2 3) (+.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)))))
0.0ms	z	@	inf	(+.f64 (+.f64 -2 3) (+.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)))))
0.0ms	t	@	inf	(+.f64 (+.f64 -2 3) (+.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)))))
0.0ms	y	@	-inf	(+.f64 (+.f64 -2 3) (+.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)))))
0.0ms	z	@	-inf	(+.f64 (+.f64 -2 3) (+.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)))))

rewrite176.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`exponential.json-3`
1448×	`rational.json-1`
1448×	`rational.json-2`
1448×	`rational.json-4`
1448×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	171	79
2	340	79
3	739	79
4	1767	79
5	3970	79
6	5783	79
7	7340	79

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(+.f64 (+.f64 -2 3) (+.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.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)))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.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)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.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)))) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) 1)))))

simplify1.3s (4.4%)

Algorithm

1×	egg-herbie

Rules

2352×	`rational.json-simplify-49`
2072×	`rational.json-simplify-1`
1960×	`rational.json-simplify-2`
1866×	`rational.json-simplify-48`
1846×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1855
1	177	1855
2	402	1855
3	980	1855
4	2551	1855
5	3716	1855
6	4123	1855
7	4395	1855
8	4734	1855
9	4798	1855
10	4835	1855
11	5939	1855
12	6064	1855
13	6092	1855
14	6309	1855
15	6405	1855
16	6460	1855
17	7027	1855
18	7073	1855
19	7115	1855
20	7149	1855
21	7177	1855
22	7297	1855
23	7325	1855
24	7353	1855
25	7379	1855
26	7405	1855
27	7431	1855
28	7457	1855
29	7483	1855
30	7509	1855
31	7535	1855
32	7561	1855
33	7587	1855
34	7613	1855
35	7639	1855
36	7665	1855
37	7691	1855
38	7717	1855
39	7743	1855

Stop Event

1×	node limit

Counts

25 → 56

Calls

Call 1

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

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

localize78.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational.json-1`
1710×	`rational.json-2`
1442×	`rational.json-simplify-35`
1006×	`exponential.json-3`
1006×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	60	21
2	131	21
3	259	21
4	487	21
5	1088	21
6	2945	21
7	5458	21
8	7349	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 t 1)) (-.f64 1 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 t 1)) (-.f64 1 (sqrt.f64 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 t 1)) 1/2) (-.f64 (*.f64 (sqrt.f64 (+.f64 t 1)) 1/2) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 t)) (+.f64 -1 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 t 1)) 1) (-.f64 -1 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 (sqrt.f64 (+.f64 t 1)) 8) (*.f64 (sqrt.f64 t) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))))))))

simplify596.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2954×	`rational.json-simplify-35`
1462×	`rational.json-simplify-2`
1460×	`rational.json-simplify-1`
1102×	`rational.json-simplify-48`
822×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1601
1	222	1601
2	764	1225
3	1700	1037
4	2699	1037
5	3397	1037
6	4673	1037
7	6008	1037
8	6437	1037
9	6615	1037
10	6786	1037
11	6942	1037
12	7093	1037
13	7465	1037
14	7474	1037
15	7492	1037
16	7498	1037
17	7506	1037
18	7672	1037
19	7835	1037
20	7998	1037

Stop Event

1×	node limit

Counts

49 → 53

Calls

Call 1

Inputs
1
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 t 1)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 1 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 t 1)) (-.f64 1 (sqrt.f64 t))) -1)
(+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2))
(+.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1/2) (-.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1/2) (sqrt.f64 t)))
(+.f64 (-.f64 1 (sqrt.f64 t)) (+.f64 -1 (sqrt.f64 (+.f64 t 1))))
(+.f64 -2 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 t 1)) 1) (-.f64 -1 (sqrt.f64 t)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) -2)
(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2)))
(*.f64 -1 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) 1/2)
(*.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) -1)
(.f64 4 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/4))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8) 1/8)
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2) -1/2)
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) 2)
(.f64 -2 (.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) 1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) 1/2) -2)
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/4) 4)
(.f64 1/8 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))
(.f64 1/8 (-.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 8) (*.f64 (sqrt.f64 t) 8)))
(.f64 -1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) 2)
(/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4) 4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8) 8)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2) -2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))))) 128)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)
(neg.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))))

Outputs
1
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 t 1)) (-.f64 1 (sqrt.f64 t))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 0)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 1 (+.f64 -1 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 t 1)) (-.f64 1 (sqrt.f64 t))) -1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1/2) (-.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1/2) (sqrt.f64 t)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (-.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (sqrt.f64 t)))
(+.f64 (-.f64 1 (sqrt.f64 t)) (+.f64 -1 (sqrt.f64 (+.f64 t 1))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 -2 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 t 1)) 1) (-.f64 -1 (sqrt.f64 t)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) -2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(*.f64 -1 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) 1/2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(*.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) -1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 4 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/4))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4) 1/4)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8) 1/8)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2) -1/2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/2) 2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 -2 (.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) 1/2))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) 1/2) -2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1/4) 4)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 1/8 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 1/8 (-.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 8) (*.f64 (sqrt.f64 t) 8)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(.f64 -1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 2) 2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))) -1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 4) 4)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8) 8)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -2) -2)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4) -4)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)) 16)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4)) -8)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))) 32)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) -4))) -16)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)))) 64)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 8))))) 128)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)) 1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(neg.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 t 1))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
	2.2b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series2.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`rational.json-simplify-35`
1508×	`exponential.json-3`
1508×	`rational.json-1`
1508×	`rational.json-2`
1508×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	81	27
2	169	27
3	314	27
4	601	27
5	1381	27
6	3067	27
7	5073	27
8	6972	27

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)))))

simplify1.8s (5.8%)

Algorithm

1×	egg-herbie

Rules

3546×	`rational.json-simplify-35`
2424×	`rational.json-simplify-2`
1582×	`rational.json-simplify-49`
1242×	`rational.json-simplify-1`
1126×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	575
1	115	575
2	310	575
3	922	575
4	1510	573
5	2951	573
6	3785	573
7	3838	573
8	3871	573
9	3901	573
10	4385	573
11	4529	573
12	4615	573
13	4677	573
14	4723	573
15	4769	573
16	4815	573
17	4861	573
18	4907	573
19	5989	573
20	6694	573
21	6882	573
22	6922	573
23	6961	573
24	7000	573
25	7039	573
26	7078	573
27	7117	573
28	7156	573
29	7195	573
30	7234	573
31	7273	573
32	7273	573
33	7312	573
34	7351	573
35	7390	573
36	7429	573
37	7468	573
38	7507	573
39	7546	573
40	7585	573
41	7624	573
42	7663	573
43	7702	573
44	7741	573
45	7780	573
46	7819	573
47	7858	573
48	7897	573
49	7936	573
50	7975	573

Stop Event

1×	node limit

Counts

23 → 28

Calls

Call 1

Inputs
4
3
(-.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 0)
(-.f64 (+.f64 3 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))) 1)
(*.f64 1 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2))
(.f64 1/4 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 2)
(*.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 2)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))))) 128)
(pow.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)

Outputs
4
3
(-.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 0)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 3 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t)))) 1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 1 (sqrt.f64 t))) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (-.f64 1 (sqrt.f64 t)) 2))
(+.f64 3 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 0 (sqrt.f64 t))))
(+.f64 3 (+.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (sqrt.f64 t))))
(*.f64 1 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 1/2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(*.f64 4 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1/4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(.f64 1/2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(.f64 1/4 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(*.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8) 8)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)) 16)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))) 32)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) 64)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))))) 128)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(pow.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 3 (sqrt.f64 (+.f64 1 t)))
✓	3.2b	(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))

Compiler

Compiled 31 to 23 computations (25.8% saved)

series1.0ms (0%)

Counts

2 → 6

Calls

6 calls:

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

rewrite123.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`rational.json-1`
1722×	`rational.json-2`
1398×	`exponential.json-3`
1398×	`rational.json-4`
1398×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	83	44
2	181	44
3	356	44
4	733	44
5	1800	44
6	4028	44
7	5946	44
8	7811	44

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 3 (neg.f64 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 (sqrt.f64 t)) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 t)) (+.f64 3 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (neg.f64 (sqrt.f64 t))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)) (+.f64 (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) -1) (+.f64 1 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 1/2 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) (/.f64 (sqrt.f64 t) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 1/2) (/.f64 (sqrt.f64 t) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1) (/.f64 (sqrt.f64 t) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 3 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)))))

simplify321.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2026×	`rational.json-simplify-35`
1810×	`rational.json-simplify-2`
1690×	`rational.json-simplify-1`
918×	`rational.json-simplify-51`
812×	`rational.json-simplify-52`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	153	1974
1	338	1974
2	924	1974
3	1998	1952
4	3183	1952
5	4097	1946
6	5229	1946
7	6346	1946
8	6863	1946
9	7119	1946
10	7371	1946
11	7372	1946
12	7777	1946

Stop Event

1×	node limit

Counts

78 → 95

Calls

Call 1

Inputs
4
3
4
(+.f64 4 (*.f64 1/2 t))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 4 (.f64 1/2 t)))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 4 (+.f64 (.f64 1/2 t) (*.f64 1/16 (pow.f64 t 3)))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 1 (+.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 3 (neg.f64 (sqrt.f64 t))))
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (neg.f64 (sqrt.f64 t)))
(+.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 0)
(+.f64 0 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))))
(+.f64 (-.f64 3 (sqrt.f64 t)) (sqrt.f64 (+.f64 1 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) 3)
(+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 3 (sqrt.f64 (+.f64 1 t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(+.f64 (+.f64 3 (neg.f64 (sqrt.f64 t))) (sqrt.f64 (+.f64 1 t)))
(+.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))
(+.f64 -2 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t)))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(+.f64 (+.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) -1) (+.f64 1 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2)))
(*.f64 1 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(*.f64 -1 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))))
(.f64 -1 (.f64 (*.f64 1/2 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t))))) 2))
(.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(.f64 4 (.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 1/2))
(.f64 4 (.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1))
(*.f64 4 (-.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 1/2) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1) (/.f64 (sqrt.f64 t) 4)))
(*.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))) -1)
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(.f64 1/4 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 2)
(.f64 (.f64 1/2 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t))))) -2)
(*.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 2)
(/.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))) -1)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -2) -2)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)) 16)
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -4) -4)
(/.f64 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) 64)
(pow.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(neg.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 0)
(*.f64 1 (+.f64 3 (sqrt.f64 (+.f64 1 t))))
(*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)
(.f64 2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2))
(*.f64 4 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4))
(.f64 4 (.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 1/2))
(.f64 4 (.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1))
(.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2) 1/2)
(.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2))
(.f64 1/4 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4))
(.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 2)
(*.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 4)
(/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)
(/.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2) 2)
(/.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 4)
(/.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8)))) 64)
(pow.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)

Outputs
4
3
4
(+.f64 4 (*.f64 1/2 t))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 4 (.f64 1/2 t)))
(+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2)))
(+.f64 4 (+.f64 (.f64 1/2 t) (.f64 -1/8 (pow.f64 t 2))))
(+.f64 (.f64 1/2 t) (+.f64 4 (.f64 -1/8 (pow.f64 t 2))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 4 (+.f64 (.f64 1/2 t) (*.f64 1/16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (+.f64 (.f64 1/2 t) (.f64 1/16 (pow.f64 t 3))) (*.f64 -1/8 (pow.f64 t 2))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 (.f64 1/2 t) (+.f64 4 (*.f64 1/16 (pow.f64 t 3)))))
(+.f64 (.f64 1/2 t) (+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 4 (*.f64 1/16 (pow.f64 t 3)))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 1 (+.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -1))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 3 (neg.f64 (sqrt.f64 t))))
(+.f64 3 (+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1))))
(+.f64 3 (+.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 t 1)) (+.f64 3 (neg.f64 (sqrt.f64 t))))
(+.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (neg.f64 (sqrt.f64 t)))
(+.f64 3 (+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1))))
(+.f64 3 (+.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 t 1)) (+.f64 3 (neg.f64 (sqrt.f64 t))))
(+.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 0)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 0 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (-.f64 3 (sqrt.f64 t)) (sqrt.f64 (+.f64 1 t)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) 3)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 3 (sqrt.f64 (+.f64 1 t))))
(+.f64 3 (+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1))))
(+.f64 3 (+.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 t 1)) (+.f64 3 (neg.f64 (sqrt.f64 t))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 3 (neg.f64 (sqrt.f64 t))) (sqrt.f64 (+.f64 1 t)))
(+.f64 3 (+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 (+.f64 t 1))))
(+.f64 3 (+.f64 (sqrt.f64 (+.f64 t 1)) (neg.f64 (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 t 1)) (+.f64 3 (neg.f64 (sqrt.f64 t))))
(+.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 -2 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t)))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(+.f64 (+.f64 (.f64 1/2 (sqrt.f64 (+.f64 t 1))) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)) (+.f64 (.f64 1/2 (sqrt.f64 (+.f64 t 1))) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(+.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 2) (+.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 t 1)) 1)))
(+.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 2) (+.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 1 (sqrt.f64 (+.f64 t 1)))))
(+.f64 (/.f64 (-.f64 3 (sqrt.f64 t)) 2) (+.f64 (sqrt.f64 (+.f64 t 1)) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(+.f64 (+.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) -1) (+.f64 1 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(*.f64 1 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(*.f64 -1 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 -1 (.f64 (*.f64 1/2 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t))))) 2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(.f64 2 (+.f64 (.f64 1/2 (sqrt.f64 (+.f64 t 1))) (/.f64 (-.f64 3 (sqrt.f64 t)) 2)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 1/2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(*.f64 4 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 4 (.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 1/2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 4 (.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(*.f64 4 (-.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) (/.f64 (sqrt.f64 t) 4)))
(*.f64 4 (-.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 t 1))) 4) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 t 1))) 1/4) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 1/2) (/.f64 (sqrt.f64 t) 4)))
(*.f64 4 (-.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 t 1))) 4) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 t 1))) 1/4) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1) (/.f64 (sqrt.f64 t) 4)))
(*.f64 4 (-.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 t 1))) 4) (/.f64 (sqrt.f64 t) 4)))
(.f64 4 (-.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 t 1))) 1/4) (/.f64 (sqrt.f64 t) 4)))
(*.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))) -1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 1/4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 1/2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 1/2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 t)) 2) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 1/4 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1/2) 2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(.f64 (.f64 1/2 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t))))) -2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(*.f64 (/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) 2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))) -1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 4) 4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -2) -2)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8) 8)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)) 16)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -4) -4)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) -4)) -8)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8))) 32)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 8)))) 64)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(pow.f64 (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 1)
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(neg.f64 (-.f64 (sqrt.f64 t) (+.f64 3 (sqrt.f64 (+.f64 1 t)))))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 0)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(*.f64 1 (+.f64 3 (sqrt.f64 (+.f64 1 t))))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(*.f64 4 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 4 (.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 1/2))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 4 (.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2) 1/2)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 1/4)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 1/2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 1/4 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4))
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(.f64 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1/2) 2)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(*.f64 (/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 4)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 2) 2)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 4) 4)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8) 8)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (.f64 2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8)) 16)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8))) 32)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 8)))) 64)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))
(pow.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) 1)
(+.f64 3 (sqrt.f64 (+.f64 t 1)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.0b	(+.f64 (sqrt.f64 z) (sqrt.f64 t))
✓	16.9b	(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
✓	17.1b	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series7.0ms (0%)

Counts

4 → 13

Calls

21 calls:

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

rewrite191.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`exponential.json-3`
1466×	`rational.json-1`
1466×	`rational.json-2`
1466×	`rational.json-4`
1466×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	116
1	122	116
2	239	116
3	480	116
4	1022	116
5	2074	116
6	3658	116
7	5398	116
8	6246	116
9	6796	116
10	7478	116

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) (.f64 (sqrt.f64 (+.f64 1 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) (.f64 (sqrt.f64 (+.f64 1 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) (.f64 (sqrt.f64 (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2) (.f64 (sqrt.f64 (+.f64 1 t)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (.f64 (sqrt.f64 (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 2) (.f64 2 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (sqrt.f64 t) 1/2) (.f64 (sqrt.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (sqrt.f64 z) 1/2) (.f64 (sqrt.f64 t) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (sqrt.f64 t)) (.f64 2 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (sqrt.f64 z)) (.f64 2 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (.f64 (sqrt.f64 (+.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (+.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 z)) 1)))))

simplify746.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2392×	`rational.json-simplify-2`
2104×	`rational.json-simplify-51`
1838×	`rational.json-simplify-35`
1298×	`rational.json-simplify-45`
1066×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	3042
1	388	3042
2	1025	3042
3	2357	3042
4	2972	3042
5	3194	3042
6	3450	3042
7	3726	3042
8	4071	3042
9	5890	3042
10	6467	3042
11	6730	3042
12	7008	3042
13	7008	3042
14	7806	3042

Stop Event

1×	node limit

Counts

106 → 124

Calls

Call 1

Inputs
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 3 (sqrt.f64 z))
(-.f64 2 (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(sqrt.f64 t)
(sqrt.f64 z)
1
(+.f64 1 (*.f64 1/2 z))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2))
(.f64 2 (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) (*.f64 (sqrt.f64 (+.f64 1 z)) 1/2)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) (*.f64 (sqrt.f64 (+.f64 1 z)) 2)))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 4)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8)))) 64)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 0)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))
(.f64 2 (+.f64 (.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2) (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (*.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(.f64 1/2 (+.f64 (.f64 2 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 2) (*.f64 2 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8)))) 64)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 0)
(*.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2))
(.f64 2 (+.f64 (.f64 (sqrt.f64 t) 1/2) (*.f64 (sqrt.f64 z) 1/2)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 z) 1/2) (*.f64 (sqrt.f64 t) 1/2)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(.f64 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(.f64 1/2 (+.f64 (.f64 2 (sqrt.f64 t)) (*.f64 2 (sqrt.f64 z))))
(.f64 1/2 (+.f64 (.f64 2 (sqrt.f64 z)) (*.f64 2 (sqrt.f64 t))))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))
(*.f64 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)
(/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)
(/.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8)))) 64)
(pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(+.f64 (sqrt.f64 (+.f64 1 z)) 0)
(+.f64 0 (sqrt.f64 (+.f64 1 z)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (.f64 (sqrt.f64 (+.f64 1 z)) 1/2))
(-.f64 (sqrt.f64 (+.f64 1 z)) 0)
(*.f64 1 (sqrt.f64 (+.f64 1 z)))
(*.f64 (sqrt.f64 (+.f64 1 z)) 1)
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 z)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 z)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 z)) 4))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 z)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 1 z)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1 z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8)))) 64)
(pow.f64 (sqrt.f64 (+.f64 1 z)) 1)

Outputs
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 3 (sqrt.f64 t)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (sqrt.f64 t))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 3 (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 3 (sqrt.f64 z))
(-.f64 2 (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (sqrt.f64 t)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) 2) (sqrt.f64 t))
(sqrt.f64 t)
(sqrt.f64 z)
1
(+.f64 1 (*.f64 1/2 z))
(+.f64 1 (*.f64 z 1/2))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 1 (+.f64 (.f64 z 1/2) (.f64 -1/8 (pow.f64 z 2))))
(+.f64 (+.f64 1 (.f64 z 1/2)) (.f64 -1/8 (pow.f64 z 2)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(+.f64 1 (+.f64 (+.f64 (.f64 z 1/2) (.f64 -1/8 (pow.f64 z 2))) (*.f64 1/16 (pow.f64 z 3))))
(+.f64 1 (+.f64 (.f64 z 1/2) (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/16 (pow.f64 z 3)))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (.f64 z 1/2) (*.f64 1/16 (pow.f64 z 3)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 0)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 2 (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) (*.f64 (sqrt.f64 (+.f64 1 z)) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 2)))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) (*.f64 (sqrt.f64 (+.f64 1 z)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8) 8)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8)) 16)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8))) 32)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 8)))) 64)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 0)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 2 (+.f64 (.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2) (*.f64 (sqrt.f64 (+.f64 1 t)) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 1/2) (*.f64 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 1/4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 1/2 (+.f64 (.f64 2 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) (*.f64 (sqrt.f64 (+.f64 1 t)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 1 t)) 2) (*.f64 2 (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1/2) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))) 2)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 4) 4)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8) 8)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8)) 16)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8))) 32)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 8)))) 64)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 0)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 2 (+.f64 (.f64 (sqrt.f64 t) 1/2) (*.f64 (sqrt.f64 z) 1/2)))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 2 (+.f64 (.f64 (sqrt.f64 z) 1/2) (*.f64 (sqrt.f64 t) 1/2)))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/2)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 4 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 1/4)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 1/2 (.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 1/2 (+.f64 (.f64 2 (sqrt.f64 t)) (*.f64 2 (sqrt.f64 z))))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 1/2 (+.f64 (.f64 2 (sqrt.f64 z)) (*.f64 2 (sqrt.f64 t))))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1/2) 2)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(*.f64 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 2)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 4) 4)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8) 8)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8)) 16)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8))) 32)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 8)))) 64)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 t)) 1)
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(+.f64 (sqrt.f64 (+.f64 1 z)) 0)
(sqrt.f64 (+.f64 1 z))
(+.f64 0 (sqrt.f64 (+.f64 1 z)))
(sqrt.f64 (+.f64 1 z))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) (.f64 (sqrt.f64 (+.f64 1 z)) 1/2))
(sqrt.f64 (+.f64 1 z))
(-.f64 (sqrt.f64 (+.f64 1 z)) 0)
(sqrt.f64 (+.f64 1 z))
(*.f64 1 (sqrt.f64 (+.f64 1 z)))
(sqrt.f64 (+.f64 1 z))
(*.f64 (sqrt.f64 (+.f64 1 z)) 1)
(sqrt.f64 (+.f64 1 z))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2))
(sqrt.f64 (+.f64 1 z))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 z)) 4))
(sqrt.f64 (+.f64 1 z))
(.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 2) 1/2)
(sqrt.f64 (+.f64 1 z))
(.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 4) 1/4)
(sqrt.f64 (+.f64 1 z))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 z)) 2))
(sqrt.f64 (+.f64 1 z))
(.f64 (.f64 (sqrt.f64 (+.f64 1 z)) 1/2) 2)
(sqrt.f64 (+.f64 1 z))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 z)) 4))
(sqrt.f64 (+.f64 1 z))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 z)) 4) 4)
(sqrt.f64 (+.f64 1 z))
(/.f64 (sqrt.f64 (+.f64 1 z)) 1)
(sqrt.f64 (+.f64 1 z))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 2) 2)
(sqrt.f64 (+.f64 1 z))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 4) 4)
(sqrt.f64 (+.f64 1 z))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 8) 8)
(sqrt.f64 (+.f64 1 z))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8)) 16)
(sqrt.f64 (+.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1 z)) 8))) 32)
(sqrt.f64 (+.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 z)) 8)))) 64)
(sqrt.f64 (+.f64 1 z))
(pow.f64 (sqrt.f64 (+.f64 1 z)) 1)
(sqrt.f64 (+.f64 1 z))

eval168.0ms (0.6%)

Compiler: Compiled 10185 to 7174 computations (29.6% saved)

prune228.0ms (0.8%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	498	12	510
Fresh	2	4	6
Picked	1	0	1
Done	3	5	8
Total	504	21	525

Error

4.4b

Counts

525 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	5.7b	(-.f64 (+.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)))) -1)
	60.6b	(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
	58.2b	(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
✓	57.7b	(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
	41.7b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
	34.4b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
✓	4.6b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	21.8b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
	41.1b	(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
	58.6b	(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
	50.0b	(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	54.1b	(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
✓	4.7b	(+.f64 (+.f64 -2 (-.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 (sqrt.f64 x) 2))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
✓	4.7b	(+.f64 (+.f64 -2 (+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (sqrt.f64 x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
	22.0b	(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
	23.1b	(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
✓	41.5b	(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
	43.7b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
	36.1b	(+.f64 1 1)
	50.1b	4
	40.5b	3

Compiler

Compiled 394 to 324 computations (17.8% saved)

regimes303.0ms (1%)

Counts

35 → 1

Calls

Call 1

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

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:

88.0ms	y
68.0ms	(+.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)))
64.0ms	t
18.0ms	z
16.0ms	x

Results

Error	Segments	Branch
4.6b	1	`x`
4.6b	1	`y`
4.6b	1	`z`
4.6b	1	`t`
4.6b	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)))`
4.6b	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)))`
4.6b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
4.6b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
4.6b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
4.6b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.6b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 747 to 508 computations (32% saved)

regimes237.0ms (0.8%)

Counts

30 → 3

Calls

Call 1

Inputs
3
4
(+.f64 1 1)
(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (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)) 1)))
(-.f64 (+.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)))) -1)
(+.f64 (+.f64 -2 3) (+.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)))))

Outputs

(-.f64 (+.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)))) -1)

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

(-.f64 (+.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)))) -1)

Calls

5 calls:

100.0ms	t
89.0ms	x
19.0ms	y
14.0ms	z
4.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
4.7b	3	`x`
5.7b	1	`y`
5.7b	1	`z`
5.7b	1	`t`
5.7b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 465 to 310 computations (33.3% saved)

bsearch144.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	25066.80499999998	1.2940223941751944e+20
76.0ms	2.5586282682791634e-26	3.2948671829015738e-25

Results

86.0ms	121×	body	512	valid
38.0ms	74×	body	1024	valid
14.0ms	61×	body	256	valid

Compiler

Compiled 1002 to 801 computations (20.1% saved)

regimes194.0ms (0.6%)

Counts

28 → 2

Calls

Call 1

Inputs
3
4
(+.f64 1 1)
(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (-.f64 (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)) 1)))

Outputs

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

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

Calls

5 calls:

75.0ms	x
53.0ms	t
25.0ms	y
24.0ms	z
7.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
12.5b	6	`x`
5.9b	2	`y`
6.0b	2	`z`
12.3b	4	`t`
17.5b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 413 to 276 computations (33.2% saved)

bsearch34.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	2.0613553626190506e-36	7.521390832111706e-36

Results

19.0ms	47×	body	512	valid
11.0ms	22×	body	1024	valid
2.0ms	11×	body	256	valid

Compiler

Compiled 262 to 213 computations (18.7% saved)

regimes180.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

Inputs
3
4
(+.f64 1 1)
(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))))

Outputs

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

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

Calls

4 calls:

68.0ms	x
57.0ms	t
24.0ms	y
23.0ms	z

Results

Error	Segments	Branch
15.2b	6	`x`
8.9b	2	`y`
6.0b	2	`z`
12.3b	5	`t`

Compiler

Compiled 352 to 235 computations (33.2% saved)

bsearch42.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	25158159500668064000.0	2.2290210722197196e+21

Results

20.0ms	55×	body	512	valid
14.0ms	24×	body	1024	valid
6.0ms	33×	body	256	valid

Compiler

Compiled 350 to 285 computations (18.6% saved)

regimes225.0ms (0.7%)

Counts

25 → 3

Calls

Call 1

Inputs
3
4
(+.f64 1 1)
(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y))))

Outputs

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

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

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

Calls

4 calls:

99.0ms	x
59.0ms	t
34.0ms	z
24.0ms	y

Results

Error	Segments	Branch
16.3b	4	`x`
8.9b	2	`y`
6.0b	3	`z`
12.7b	5	`t`

Compiler

Compiled 327 to 219 computations (33% saved)

bsearch105.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	25158159500668064000.0	2.2290210722197196e+21
58.0ms	1.3361528147113179e-34	4.8499706200661253e-26

Results

54.0ms	137×	body	512	valid
36.0ms	65×	body	1024	valid
11.0ms	54×	body	256	valid

Compiler

Compiled 618 to 513 computations (17% saved)

regimes417.0ms (1.4%)

Counts

24 → 3

Calls

Call 1

Inputs
3
4
(+.f64 1 1)
(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))

Outputs

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

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

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

Calls

4 calls:

304.0ms	x
52.0ms	t
32.0ms	z
21.0ms	y

Results

Error	Segments	Branch
16.3b	4	`x`
8.9b	2	`y`
6.3b	3	`z`
12.7b	5	`t`

Compiler

Compiled 310 to 208 computations (32.9% saved)

bsearch260.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	25158159500668064000.0	2.2290210722197196e+21
211.0ms	1.3361528147113179e-34	4.8499706200661253e-26

Results

207.0ms	140×	body	512	valid
39.0ms	64×	body	1024	valid
10.0ms	52×	body	256	valid

Compiler

Compiled 618 to 513 computations (17% saved)

regimes424.0ms (1.4%)

Counts

23 → 3

Calls

Call 1

Inputs
3
4
(+.f64 1 1)
(-.f64 (+.f64 4 (*.f64 1/2 t)) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 3 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 4 (sqrt.f64 t))) -1)
(-.f64 (+.f64 (+.f64 4 (.f64 1/2 t)) (.f64 -1/8 (pow.f64 t 2))) (sqrt.f64 t))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 1 (*.f64 z 1/2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 2 (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))

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

Calls

4 calls:

133.0ms	z
105.0ms	t
99.0ms	x
24.0ms	y

Results

Error	Segments	Branch
16.3b	4	`x`
8.9b	2	`y`
6.3b	3	`z`
12.7b	5	`t`

Compiler

Compiled 293 to 198 computations (32.4% saved)

bsearch99.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	25158159500668064000.0	2.2290210722197196e+21
58.0ms	1.3361528147113179e-34	4.8499706200661253e-26

Results

49.0ms	131×	body	512	valid
34.0ms	65×	body	1024	valid
13.0ms	60×	body	256	valid

Compiler

Compiled 490 to 417 computations (14.9% saved)

regimes101.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	x
23.0ms	t
10.0ms	z
9.0ms	y

Results

Error	Segments	Branch
16.3b	4	`x`
8.9b	2	`y`
9.0b	2	`z`
13.4b	5	`t`

Compiler

Compiled 64 to 51 computations (20.3% saved)

bsearch30.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	2.0613553626190506e-36	7.521390832111706e-36

Results

14.0ms	41×	body	512	valid
11.0ms	21×	body	1024	valid
3.0ms	18×	body	256	valid

Compiler

Compiled 182 to 153 computations (15.9% saved)

regimes99.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

Outputs
3
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))

Calls

4 calls:

75.0ms	t
9.0ms	y
9.0ms	z
4.0ms	x

Results

Error	Segments	Branch
23.1b	1	`x`
20.6b	2	`y`
11.7b	2	`z`
18.1b	5	`t`

Compiler

Compiled 55 to 44 computations (20% saved)

bsearch37.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	0.38259662157395985	3.374002394787325

Results

16.0ms	32×	body	1024	valid
15.0ms	44×	body	512	valid
5.0ms	20×	body	256	valid

Compiler

Compiled 162 to 141 computations (13% saved)

regimes201.0ms (0.7%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

102.0ms	t
59.0ms	z
26.0ms	x
12.0ms	y

Results

Error	Segments	Branch
29.2b	7	`x`
22.6b	3	`y`
20.3b	5	`z`
29.0b	7	`t`

Compiler

Compiled 46 to 37 computations (19.6% saved)

bsearch307.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
61.0ms	3.362470179440286e+237	1.3428772008484246e+238
40.0ms	1.4730824725751946e+196	9.603467019806841e+196
119.0ms	5.481351895493487e+188	1.3087674575863373e+189
86.0ms	0.38259662157395985	3.374002394787325

Results

260.0ms	248×	body	512	valid
37.0ms	73×	body	1024	valid
6.0ms	31×	body	256	valid

Compiler

Compiled 478 to 437 computations (8.6% saved)

regimes94.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

Outputs
3
(+.f64 1 1)

Calls

4 calls:

62.0ms	x
17.0ms	t
7.0ms	z
7.0ms	y

Results

Error	Segments	Branch
32.9b	5	`x`
33.6b	2	`y`
24.7b	2	`z`
30.2b	5	`t`

Compiler

Compiled 37 to 31 computations (16.2% saved)

bsearch37.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	0.38259662157395985	3.374002394787325

Results

20.0ms	54×	body	512	valid
12.0ms	25×	body	1024	valid
3.0ms	17×	body	256	valid

Compiler

Compiled 126 to 117 computations (7.1% saved)

regimes17.0ms (0.1%)

Accuracy

Total -14.0b remaining (-36.4%)

Threshold costs -14.0b (-36.4%)

Counts

2 → 2

Calls

Call 1

Inputs
3
4

Outputs
4
3

Calls

4 calls:

7.0ms	t
3.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
40.5b	1	`x`
40.5b	1	`y`
40.5b	1	`z`
38.3b	2	`t`

Compiler

Compiled 26 to 22 computations (15.4% saved)

bsearch43.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	0.010475085166229615	110050.26114052134

Results

22.0ms	55×	body	512	valid
15.0ms	83×	body	256	valid
4.0ms	6×	body	1024	valid

Compiler

Compiled 150 to 141 computations (6% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1149

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 x 1742245718635205/5444517870735015415413993718908291383296) (-.f64 (+.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)))) -1) (if (<=.f64 x 126000000000000000000) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))) (-.f64 (+.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)))) -1)))
(if (<=.f64 y 5612166287350667/748288838313422294120286634350736906063837462003712) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 26000000000000000000) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 6279889847906223/11417981541647679048466287755595961091061972992) (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (if (<=.f64 z 26000000000000000000) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))))
(if (<=.f64 z 2899096875808981/11150372599265311570767859136324180752990208) (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (if (<=.f64 z 26000000000000000000) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))))
(if (<=.f64 z 3902630409742859/5575186299632655785383929568162090376495104) (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (if (<=.f64 z 26000000000000000000) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))))
(if (<=.f64 y 5612166287350667/748288838313422294120286634350736906063837462003712) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 3602879701896397/9007199254740992) 3 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 3602879701896397/9007199254740992) 3 (if (<=.f64 z 1299999999999999906355817956954965983357529182483614040494059400995374889551766949076877782662402404285816570448213651656743234139006965883256321478274192257652563309934042385083270596395008) (+.f64 1 1) (if (<=.f64 z 14999999999999999267149386958852698080083740691779325049199875835860267585624938774917581833758510342143813173150707385060422379875828739638953603889414680990655549807560137501165854807343629336576) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))) (if (<=.f64 z 12999999999999999764881677158280098463536362704700692086119981795839630882823981950009929220280988412606792099920826715697335695242318872410678609193614294218199508492816167658183557882560795652782783140981135393982194100683740919642456064) (+.f64 1 1) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))))
(if (<=.f64 z 7926335344172073/18014398509481984) 3 (+.f64 1 1))
(if (<=.f64 t 8214565720323785/288230376151711744) 4 3)
3

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 x 1742245718635205/5444517870735015415413993718908291383296) (-.f64 (+.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)))) -1) (if (<=.f64 x 126000000000000000000) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))) (-.f64 (+.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)))) -1)))
(if (<=.f64 y 5612166287350667/748288838313422294120286634350736906063837462003712) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 26000000000000000000) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 6279889847906223/11417981541647679048466287755595961091061972992) (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (if (<=.f64 z 26000000000000000000) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))))
(if (<=.f64 z 2899096875808981/11150372599265311570767859136324180752990208) (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (if (<=.f64 z 26000000000000000000) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))))
(if (<=.f64 z 3902630409742859/5575186299632655785383929568162090376495104) (+.f64 3 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (if (<=.f64 z 26000000000000000000) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y)))))
(if (<=.f64 y 5612166287350667/748288838313422294120286634350736906063837462003712) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 3602879701896397/9007199254740992) 3 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 y -1)) (sqrt.f64 y))))
(if (<=.f64 z 3602879701896397/9007199254740992) 3 (if (<=.f64 z 1299999999999999906355817956954965983357529182483614040494059400995374889551766949076877782662402404285816570448213651656743234139006965883256321478274192257652563309934042385083270596395008) (+.f64 1 1) (if (<=.f64 z 14999999999999999267149386958852698080083740691779325049199875835860267585624938774917581833758510342143813173150707385060422379875828739638953603889414680990655549807560137501165854807343629336576) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))) (if (<=.f64 z 12999999999999999764881677158280098463536362704700692086119981795839630882823981950009929220280988412606792099920826715697335695242318872410678609193614294218199508492816167658183557882560795652782783140981135393982194100683740919642456064) (+.f64 1 1) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))))
(if (<=.f64 z 3602879701896397/9007199254740992) 3 (if (<=.f64 z 1299999999999999906355817956954965983357529182483614040494059400995374889551766949076877782662402404285816570448213651656743234139006965883256321478274192257652563309934042385083270596395008) 2 (if (<=.f64 z 14999999999999999267149386958852698080083740691779325049199875835860267585624938774917581833758510342143813173150707385060422379875828739638953603889414680990655549807560137501165854807343629336576) (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t))) (if (<=.f64 z 12999999999999999764881677158280098463536362704700692086119981795839630882823981950009929220280988412606792099920826715697335695242318872410678609193614294218199508492816167658183557882560795652782783140981135393982194100683740919642456064) 2 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 t -1)) (sqrt.f64 t)))))))
(if (<=.f64 z 7926335344172073/18014398509481984) 3 (+.f64 1 1))
(if (<=.f64 z 7926335344172073/18014398509481984) 3 2)
(if (<=.f64 t 8214565720323785/288230376151711744) 4 3)
3

Compiler

Compiled 449 to 350 computations (22% saved)

soundness0.0ms (0%)

end238.0ms (0.8%)

Remove: (sort x y z t)
Compiler: Compiled 471 to 330 computations (29.9% saved)