Details

analyze513.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	74.9%	25.1%	6
0%	56.1%	43.9%	7
0%	42.1%	57.9%	8
0.4%	31.2%	68.4%	9
0.6%	25.7%	73.7%	10
0.9%	21.1%	78.1%	11
1.3%	17%	81.7%	12

Compiler

Compiled 36 to 28 computations (22.2% saved)

sample10.1s (33.7%)

Results

5.2s	15920×	body	256	invalid
2.6s	4580×	body	512	valid
1.6s	1774×	body	1024	valid
573.0ms	1902×	body	256	valid

preprocess90.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

799×	`sub-neg_binary64`
524×	`fma-neg_binary64`
468×	`distribute-rgt-in_binary64`
401×	`associate-+l+_binary64`
382×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	350
1	141	350
2	537	350
3	2852	350
4	4688	350
5	7021	350
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

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

Symmetry

(sort x y z t)

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-def_binary64`
615×	`distribute-neg-in_binary64`
542×	`associate-+r-_binary64`
537×	`cancel-sign-sub-inv_binary64`
504×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	54	50
2	168	50
3	974	50
4	4916	50

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 66 to 46 computations (30.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

4.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
▶	4.1b	(+.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)))

Status

Error

Program

▶

41.7b

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

▶

4.1b

(+.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)))

Compiler

Compiled 70 to 54 computations (22.9% saved)

localize93.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))
✓	2.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
✓	18.4b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))
✓	18.7b	(+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))

Compiler

Compiled 137 to 83 computations (39.4% saved)

series29.0ms (0.1%)

Counts

4 → 21

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
1.0ms	t	@	inf	(+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))
1.0ms	t	@	-inf	(+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))
1.0ms	t	@	-inf	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))
1.0ms	y	@	-inf	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))

rewrite130.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`add-sqr-sqrt_binary64`
318×	`*-un-lft-identity_binary64`
318×	`pow1_binary64`
297×	`add-cbrt-cube_binary64`
297×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
1	603	106

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 t 1) 1/4)) (pow.f64 (+.f64 t 1) 1/4) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 1 (.f64 (sqrt.f64 (+.f64 t 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (neg.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 1 (.f64 (sqrt.f64 (+.f64 t 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (neg.f64 (.f64 (sqrt.f64 (+.f64 t 1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 1 (.f64 (sqrt.f64 (+.f64 t 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (sqrt.f64 z) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1)))) (cbrt.f64 (+.f64 t 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1)))) (cbrt.f64 (+.f64 t 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1)))) (cbrt.f64 (+.f64 t 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 t 1))) (cbrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) (sqrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (+.f64 (+.f64 t 1) (sqrt.f64 (.f64 z (+.f64 t 1))))) (-.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 t 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) (-.f64 z (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 t 1) 3/2)) (+.f64 z (+.f64 (+.f64 t 1) (sqrt.f64 (.f64 z (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (+.f64 t 1)) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 t 1) 3/2))) (neg.f64 (+.f64 z (+.f64 (+.f64 t 1) (sqrt.f64 (.f64 z (+.f64 t 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 z (+.f64 t 1))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3/2) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) 3)) (+.f64 z (-.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 t 1))) (neg.f64 (sqrt.f64 (+.f64 t 1)))) (.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 (+.f64 t 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 t 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 z) (neg.f64 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (neg.f64 (sqrt.f64 (+.f64 t 1))))))))

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

689×	`sub-neg_binary64`
657×	`fma-def_binary64`
639×	`fma-neg_binary64`
559×	`associate-l_binary64`
455×	`associate--l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	493
1	258	491
2	779	488
3	3013	481
4	4855	480
5	7234	480

Stop Event

1×	node limit

Counts

172 → 190

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 z) 1)
(sqrt.f64 z)
(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(*.f64 -1 (sqrt.f64 (+.f64 1 t)))
(-.f64 (sqrt.f64 z) 1)
(-.f64 (+.f64 (sqrt.f64 z) (*.f64 -1/2 t)) 1)
(-.f64 (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/8 (pow.f64 t 2)) (.f64 -1/2 t))) 1)
(-.f64 (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/8 (pow.f64 t 2)) (+.f64 (.f64 -1/16 (pow.f64 t 3)) (*.f64 -1/2 t)))) 1)

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

localize111.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.1b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
✓	4.4b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 142 to 87 computations (38.7% saved)

series9.0ms (0%)

Counts

4 → 4

Calls

12 calls:

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

rewrite104.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`log1p-udef_binary64`
264×	`add-sqr-sqrt_binary64`
261×	`*-un-lft-identity_binary64`
261×	`pow1_binary64`
243×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	504	44
2	7388	44

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

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

Outputs
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simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	4
1	4	4

Stop Event

1×

saturated

Counts

152 → 149

Calls

Call 1

Inputs
1
1
1
1

Outputs
1
1
1
1

eval232.0ms (0.8%)

Compiler: Compiled 14847 to 9400 computations (36.7% saved)

prune117.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	327	12	339
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	328	13	341

Error

0.7b

Counts

341 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
▶	1.9b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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)))
▶	57.7b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
	4.1b	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) 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)))
▶	3.8b	(+.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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	5.7b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	23.0b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))
	3.7b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	38.7b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
▶	40.9b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
▶	37.3b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
✓	4.1b	(+.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)))
	3.6b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 905 to 693 computations (23.4% saved)

localize123.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	2.1b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	4.4b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 181 to 106 computations (41.4% saved)

series7.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	244	11
2	2677	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x)))))))

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	4	1

Stop Event

1×

saturated

Counts

34 → 34

Calls

Call 1

Inputs
1

Outputs
1

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))
✓	2.6b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
✓	6.6b	(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))

Compiler

Compiled 92 to 53 computations (42.4% saved)

series15.0ms (0.1%)

Counts

4 → 20

Calls

27 calls:

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

rewrite214.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

391×	`log1p-udef_binary64`
390×	`expm1-udef_binary64`
239×	`add-sqr-sqrt_binary64`
236×	`*-un-lft-identity_binary64`
236×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
1	452	83
2	7211	83

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(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 (sqrt.f64 (+.f64 1 t)) (.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4))) (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(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 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 1 t) 3/2) (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 1 t) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (-.f64 t (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 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(sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (.f64 (+.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (-.f64 y x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (.f64 (+.f64 1 y) x))) (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (.f64 (+.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 1 y) x) (sqrt.f64 (.f64 (+.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 y x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 1 y) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 y) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 x)))))))

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
793×	`sub-neg_binary64`
510×	`associate-l_binary64`
455×	`fma-neg_binary64`
398×	`associate--l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	352
1	192	346
2	490	343
3	1616	330
4	4254	328
5	7889	328

Stop Event

1×	node limit

Counts

197 → 210

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))))
✓	0.0b	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	8.8b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))

Compiler

Compiled 94 to 55 computations (41.5% saved)

series19.0ms (0.1%)

Counts

4 → 23

Calls

33 calls:

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

rewrite126.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`expm1-udef_binary64`
390×	`log1p-udef_binary64`
237×	`add-sqr-sqrt_binary64`
234×	`*-un-lft-identity_binary64`
234×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	450	80
2	7265	80

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) (.f64 (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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x)) (neg.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 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(sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) 2) (.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (-.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) 3) (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) 2) (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) 3) (pow.f64 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simplify187.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-neg_binary64`
964×	`sub-neg_binary64`
520×	`associate-+l+_binary64`
360×	`associate-+r+_binary64`
341×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	498
1	221	486
2	684	486
3	2555	486
4	4149	486
5	6953	486

Stop Event

1×	node limit

Counts

191 → 211

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 z))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(+.f64 (hypot.f64 1 (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 z))) (sqrt.f64 y)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (hypot.f64 1 (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 z))) (sqrt.f64 y))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (hypot.f64 1 (sqrt.f64 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 x) (sqrt.f64 y))
(+.f64 (sqrt.f64 z) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 z))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 z 1/2)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 z 1/2 1)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/2 z)))))
(+.f64 1 (fma.f64 -1/8 (.f64 z z) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 z 1/2)))))
(+.f64 1 (+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (fma.f64 -1/8 (*.f64 z z) (sqrt.f64 (+.f64 1 y)))))
(+.f64 1 (+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (fma.f64 z (*.f64 z -1/8) (sqrt.f64 (+.f64 1 y)))))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))))))
(fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (.f64 z z) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 z 1/2))))))
(+.f64 (+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (fma.f64 -1/8 (*.f64 z z) (sqrt.f64 (+.f64 1 y)))) (fma.f64 1/16 (pow.f64 z 3) 1))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (fma.f64 z (*.f64 z -1/8) (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x)))) (fma.f64 1/16 (pow.f64 z 3) 1)))
(+.f64 1 (fma.f64 1/16 (pow.f64 z 3) (+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (fma.f64 -1/8 (*.f64 z z) (sqrt.f64 (+.f64 1 y))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 z))))
(+.f64 1 (+.f64 (*.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (fma.f64 1/2 y (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))))
(+.f64 1 (fma.f64 y 1/2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (hypot.f64 1 (sqrt.f64 z)) (fma.f64 y 1/2 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 z)))))
(+.f64 1 (+.f64 (.f64 1/2 y) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -1/8 (pow.f64 y 2))))))
(+.f64 1 (fma.f64 1/2 y (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -1/8 (.f64 y y))))))
(+.f64 1 (+.f64 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))) (fma.f64 y 1/2 (sqrt.f64 (+.f64 1 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 y (*.f64 y -1/8) (hypot.f64 1 (sqrt.f64 z)))) (fma.f64 y 1/2 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 y 1/2 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))))))
(+.f64 1 (+.f64 (.f64 1/2 y) (+.f64 (.f64 1/16 (pow.f64 y 3)) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/8 (pow.f64 y 2)))))))
(+.f64 1 (fma.f64 1/2 y (fma.f64 1/16 (pow.f64 y 3) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -1/8 (.f64 y y)))))))
(+.f64 1 (fma.f64 y 1/2 (+.f64 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))) (fma.f64 1/16 (pow.f64 y 3) (sqrt.f64 (+.f64 1 z))))))
(+.f64 (fma.f64 y (*.f64 y -1/8) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (fma.f64 y 1/2 (fma.f64 1/16 (pow.f64 y 3) (hypot.f64 1 (sqrt.f64 z))))))
(+.f64 (fma.f64 -1/8 (*.f64 y y) (sqrt.f64 (+.f64 1 x))) (+.f64 (fma.f64 y 1/2 1) (fma.f64 1/16 (pow.f64 y 3) (sqrt.f64 (+.f64 1 z)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (hypot.f64 1 (sqrt.f64 z))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))))
(fma.f64 1/2 x (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))))
(+.f64 (+.f64 (fma.f64 x 1/2 1) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 z)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (hypot.f64 1 (sqrt.f64 z)) (fma.f64 x 1/2 1)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 x 1/2 1)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (+.f64 (fma.f64 x 1/2 1) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1)) (hypot.f64 1 (sqrt.f64 z))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z))) (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 z)) (*.f64 1/16 (pow.f64 x 3)))))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 (+.f64 1 z)) (.f64 1/16 (pow.f64 x 3))))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 z)))) (fma.f64 x 1/2 1)))
(+.f64 (fma.f64 1/16 (pow.f64 x 3) (hypot.f64 1 (sqrt.f64 z))) (+.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1)) (sqrt.f64 (+.f64 1 y))))
(fma.f64 x (*.f64 x -1/8) (+.f64 (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 x 1/2 1))))
(sqrt.f64 y)
(sqrt.f64 x)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.1b	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
✓	0.1b	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))
✓	4.4b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))

Compiler

Compiled 112 to 70 computations (37.5% saved)

series21.0ms (0.1%)

Counts

4 → 25

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
2.0ms	x	@	-inf	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))
1.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
1.0ms	z	@	-inf	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
1.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))

rewrite142.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`log1p-udef_binary64`
254×	`add-sqr-sqrt_binary64`
251×	`*-un-lft-identity_binary64`
251×	`pow1_binary64`
235×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	480	81
2	7834	81

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

Outputs
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(sqrt.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) (sqrt.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 3)) (/.f64 1 (+.f64 z (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 z (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 2)) (/.f64 1 (-.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z)))) (+.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (-.f64 z (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 3)) (+.f64 z (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 2) (-.f64 z (.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 2)) (-.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 z 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 3))) (neg.f64 (+.f64 z (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 z (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 2))) (neg.f64 (-.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 3) (pow.f64 t 3/2)) (+.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 t (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) 2) z) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) t) (-.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 2) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/4) (pow.f64 z 1/4) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) 1)))) (#(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 (cbrt.f64 (sqrt.f64 (+.f64 1 z))) (cbrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 z z))) (sqrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 z) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 1/2 (log1p.f64 z)) 1))))))

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

624×	`sub-neg_binary64`
577×	`fma-neg_binary64`
555×	`associate-+l+_binary64`
461×	`associate--l+_binary64`
419×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	542
1	240	530
2	753	526
3	2802	526
4	4626	526
5	7632	526

Stop Event

1×	node limit

Counts

181 → 204

Calls

Call 1

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

Outputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 2 (hypot.f64 1 (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) (+.f64 2 (sqrt.f64 (+.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 1 (-.f64 (+.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 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)) 1))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 2 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 x)) (sqrt.f64 z)) 2))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 x)) (sqrt.f64 z)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
(-.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(+.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 x)) (sqrt.f64 z))))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 t))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t)) 2))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (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 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 t))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 z 1/2))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (fma.f64 z 1/2 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/2 z)))))
(+.f64 1 (fma.f64 -1/8 (.f64 z z) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 z 1/2)))))
(+.f64 1 (+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (fma.f64 -1/8 (*.f64 z z) (sqrt.f64 (+.f64 1 t)))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (fma.f64 z (*.f64 z -1/8) (fma.f64 z 1/2 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 t)) (fma.f64 z (*.f64 z -1/8) 1)))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z))))))
(fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (.f64 z z) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 z 1/2))))))
(+.f64 (+.f64 (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x))) (fma.f64 -1/8 (*.f64 z z) (sqrt.f64 (+.f64 1 t)))) (fma.f64 1/16 (pow.f64 z 3) 1))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (fma.f64 z (*.f64 z -1/8) (fma.f64 z 1/2 (hypot.f64 1 (sqrt.f64 x)))) (fma.f64 1/16 (pow.f64 z 3) 1)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (fma.f64 z (*.f64 z -1/8) (fma.f64 z 1/2 (sqrt.f64 (+.f64 1 x)))) (fma.f64 1/16 (pow.f64 z 3) 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))))
(+.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 z))))
(+.f64 1 (+.f64 (*.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (fma.f64 1/2 t (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 t 1/2 (sqrt.f64 (+.f64 1 z)))))
(+.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (fma.f64 t 1/2 (hypot.f64 1 (sqrt.f64 z)))))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))))))
(fma.f64 -1/8 (*.f64 t t) (+.f64 1 (fma.f64 1/2 t (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 t 1/2 (sqrt.f64 (+.f64 1 z)))) (fma.f64 -1/8 (*.f64 t t) 1))
(+.f64 1 (fma.f64 t (*.f64 t -1/8) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (fma.f64 t 1/2 (hypot.f64 1 (sqrt.f64 z))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (fma.f64 t (*.f64 t -1/8) (fma.f64 t 1/2 1)))
(+.f64 (.f64 -1/8 (pow.f64 t 2)) (+.f64 1 (+.f64 (.f64 1/2 t) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/16 (pow.f64 t 3)))))))
(fma.f64 -1/8 (.f64 t t) (+.f64 1 (fma.f64 1/2 t (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/16 (pow.f64 t 3)))))))
(+.f64 (fma.f64 t 1/2 (+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 1/16 (pow.f64 t 3) (sqrt.f64 (+.f64 1 x))))) (fma.f64 -1/8 (*.f64 t t) 1))
(+.f64 1 (fma.f64 t (*.f64 t -1/8) (+.f64 (fma.f64 1/16 (pow.f64 t 3) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 t 1/2 (hypot.f64 1 (sqrt.f64 z))))))
(+.f64 1 (fma.f64 t (*.f64 t -1/8) (+.f64 (fma.f64 1/16 (pow.f64 t 3) (sqrt.f64 (+.f64 1 x))) (fma.f64 t 1/2 (sqrt.f64 (+.f64 1 z))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 1 (hypot.f64 1 (sqrt.f64 z))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))))
(fma.f64 1/2 x (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (fma.f64 x 1/2 1))
(+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (hypot.f64 1 (sqrt.f64 z)) (fma.f64 x 1/2 1)))
(+.f64 1 (fma.f64 x 1/2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t))))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (fma.f64 x 1/2 1)))
(+.f64 (+.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1)) (sqrt.f64 (+.f64 1 t))) (hypot.f64 1 (sqrt.f64 z)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z))) (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (*.f64 1/16 (pow.f64 x 3)))))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 (+.f64 1 t)) (.f64 1/16 (pow.f64 x 3))))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 t)))) (fma.f64 x 1/2 1)))
(+.f64 (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 t))) (+.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1)) (hypot.f64 1 (sqrt.f64 z))))
(fma.f64 x (*.f64 x -1/8) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (fma.f64 1/16 (pow.f64 x 3) (sqrt.f64 (+.f64 1 z))) (fma.f64 x 1/2 1))))
(+.f64 (sqrt.f64 x) (sqrt.f64 t))
(+.f64 (sqrt.f64 z) (sqrt.f64 t))
(+.f64 (sqrt.f64 t) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 z))
1
(+.f64 1 (*.f64 1/2 z))
(+.f64 1 (*.f64 z 1/2))
(fma.f64 z 1/2 1)
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (.f64 1/2 z)))
(+.f64 1 (fma.f64 -1/8 (.f64 z z) (.f64 z 1/2)))
(+.f64 1 (fma.f64 z 1/2 (.f64 z (.f64 z -1/8))))
(fma.f64 z 1/2 (fma.f64 -1/8 (*.f64 z z) 1))
(fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1))
(+.f64 (.f64 1/16 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 z 2)) (*.f64 1/2 z))))
(fma.f64 1/16 (pow.f64 z 3) (+.f64 1 (fma.f64 -1/8 (.f64 z z) (.f64 z 1/2))))
(+.f64 (fma.f64 z 1/2 (.f64 z (.f64 z -1/8))) (fma.f64 1/16 (pow.f64 z 3) 1))
(fma.f64 1/16 (pow.f64 z 3) (fma.f64 z 1/2 (fma.f64 -1/8 (*.f64 z z) 1)))
(fma.f64 1/16 (pow.f64 z 3) (fma.f64 z 1/2 (fma.f64 z (*.f64 z -1/8) 1)))

localize108.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
	0.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	4.4b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 169 to 100 computations (40.8% saved)

series4.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	244	11
2	2677	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 t)) (*.f64 -1 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 t)) (*.f64 (neg.f64 (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 t)) (*.f64 (neg.f64 (pow.f64 t 1/4)) (pow.f64 t 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) (fma.f64 (neg.f64 (sqrt.f64 t)) 1 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 t) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) (fma.f64 (neg.f64 (pow.f64 t 1/4)) (pow.f64 t 1/4) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 t 1/4)) (-.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 t 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 t) 3/2) (pow.f64 t 3/2))) (-.f64 (+.f64 (+.f64 1 t) t) (sqrt.f64 (*.f64 (+.f64 1 t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 t))) (exp.f64 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 (sqrt.f64 t)) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 t)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 t))) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 (+.f64 1 t) 1/4) (neg.f64 (sqrt.f64 t)))))))

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	4	1

Stop Event

1×

saturated

Counts

34 → 34

Calls

Call 1

Inputs
1

Outputs
1

eval1.4s (4.7%)

Compiler: Compiled 34212 to 20343 computations (40.5% saved)

prune263.0ms (0.9%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	895	22	917
Fresh	3	4	7
Picked	0	1	1
Done	3	2	5
Total	901	29	930

Error

0.4b

Counts

930 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.3b	(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
	5.7b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	5.1b	(+.f64 (+.f64 (+.f64 1 (-.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)))
	34.0b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 3)))
	18.8b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	53.5b	(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))
	40.9b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
	41.2b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 3)
	37.3b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2)))
	3.7b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.5b	(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
✓	1.9b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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)))
	4.1b	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) 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)))
▶	22.3b	(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 1)
	37.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
✓	4.1b	(+.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)))
	42.3b	(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
	1.9b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 (+.f64 1 x) 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)))
	33.4b	(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x))
	33.3b	(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	57.7b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	33.3b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	3.6b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	1.2b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	30.8b	(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
✓	3.8b	(+.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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	41.1b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
	41.6b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
▶	30.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))

Compiler

Compiled 1707 to 1329 computations (22.1% saved)

localize126.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
✓	0.1b	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	2.1b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	4.4b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 220 to 125 computations (43.2% saved)

series8.0ms (0%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
2.0ms	y	@	-inf	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
1.0ms	y	@	inf	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
1.0ms	y	@	-inf	(+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
1.0ms	y	@	inf	(+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	244	22
2	2677	22

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 y))) (exp.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))) (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 y (-.f64 (+.f64 1 y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (+.f64 1 y)) (-.f64 (sqrt.f64 y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 y) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 1/4) (pow.f64 y 1/4) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (sqrt.f64 y))))))

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	2
1	4	2

Stop Event

1×

saturated

Counts

72 → 71

Calls

Call 1

Inputs
1
1

Outputs
1
1

localize44.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	2.1b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t))

Compiler

Compiled 57 to 35 computations (38.6% saved)

series4.0ms (0%)

Counts

2 → 7

Calls

9 calls:

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

rewrite123.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`fma-def_binary64`
584×	`log-prod_binary64`
408×	`fma-neg_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	270	22
2	3873	22

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (fma.f64 (neg.f64 (sqrt.f64 t)) 1 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 t) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 t)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 t)) 1/2) (neg.f64 (-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 t) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 x 1/4)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 x 1/4)) (*.f64 (neg.f64 (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x))) (pow.f64 t 1/4)) (-.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x))) (pow.f64 t 1/4)) (fma.f64 (neg.f64 (sqrt.f64 t)) 1 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x))) (pow.f64 t 1/4)) (-.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x))) (pow.f64 t 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 t) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x))) (pow.f64 t 1/4)) (-.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x))) (pow.f64 t 1/4)) (+.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))))

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
510×	`associate-l_binary64`
459×	`fma-def_binary64`
430×	`fma-neg_binary64`
397×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	61
1	62	59
2	125	59
3	333	53
4	813	52
5	2512	52
6	4032	52
7	5166	52
8	6623	52

Stop Event

1×	node limit

Counts

164 → 168

Calls

Call 1

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

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

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 y))
✓	0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
✓	0.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	4.1b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))

Compiler

Compiled 62 to 40 computations (35.5% saved)

series13.0ms (0%)

Counts

4 → 11

Calls

15 calls:

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

rewrite244.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`fma-neg_binary64`
287×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
240×	`log-pow_binary64`
234×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	331	58
2	5180	58

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 y)))) (exp.f64 (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))))) (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 y)))) (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (neg.f64 (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (neg.f64 (-.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (-.f64 1 (sqrt.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1)))) (#(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 (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (cbrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 y 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 y y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 y y))) (sqrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) -1)))))

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
508×	`fma-def_binary64`
496×	`associate-l_binary64`
334×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	102
1	81	100
2	172	97
3	424	90
4	1022	87
5	2814	87
6	4595	87
7	6224	87
8	7807	87

Stop Event

1×	node limit

Counts

222 → 226

Calls

Call 1

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

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

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))
✓	1.1b	(+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
✓	2.1b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	3.7b	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))

Compiler

Compiled 122 to 71 computations (41.8% saved)

series16.0ms (0.1%)

Counts

3 → 11

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
3.0ms	x	@	-inf	(+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
1.0ms	x	@	0	(+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
1.0ms	t	@	-inf	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))
1.0ms	t	@	inf	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))

rewrite213.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`fma-neg_binary64`
374×	`expm1-udef_binary64`
374×	`log1p-udef_binary64`
226×	`add-sqr-sqrt_binary64`
223×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	426	77
2	6732	77

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(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))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) 1)))) 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(-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (neg.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (neg.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 t) 3/2) (pow.f64 t 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 t) t) (sqrt.f64 (*.f64 (+.f64 1 t) t)))) (neg.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (-.f64 t t)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))) (neg.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y))))) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 t 1/4)) (-.f64 (pow.f64 (+.f64 1 t) 1/4) (pow.f64 t 1/4)) (neg.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))))

simplify234.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3772×	`fma-neg_binary64`
846×	`sub-neg_binary64`
481×	`fma-def_binary64`
418×	`associate--r+_binary64`
339×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	224
1	105	224
2	254	224
3	679	224
4	2150	224
5	3598	224
6	5527	224
7	6440	224
8	7197	224
9	7519	224
10	7611	224
11	7665	224
12	7767	224
13	7767	224
14	7767	224
15	7767	224

Stop Event

1×	node limit

Counts

195 → 204

Calls

Call 1

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

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

localize100.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	0.1b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
✓	0.4b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
✓	8.3b	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))

Compiler

Compiled 153 to 78 computations (49% saved)

series56.0ms (0.2%)

Counts

3 → 17

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
5.0ms	z	@	inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
4.0ms	y	@	0	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
4.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
4.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)

rewrite135.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`log1p-udef_binary64`
255×	`add-sqr-sqrt_binary64`
251×	`pow1_binary64`
250×	`*-un-lft-identity_binary64`
237×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
1	514	103
2	7535	103

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 z) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (/.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 y)))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 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simplify220.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

3772×	`fma-neg_binary64`
869×	`sub-neg_binary64`
488×	`fma-def_binary64`
441×	`associate--r+_binary64`
344×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	400
1	100	400
2	246	400
3	672	400
4	2142	400
5	3658	400
6	5575	400
7	6618	400
8	7318	400
9	7500	400
10	7558	400
11	7611	400
12	7698	400
13	7698	400
14	7698	400
15	7698	400

Stop Event

1×	node limit

Counts

156 → 118

Calls

Call 1

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

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

eval762.0ms (2.6%)

Compiler: Compiled 31795 to 19667 computations (38.1% saved)

prune231.0ms (0.8%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	931	17	948
Fresh	7	14	21
Picked	1	0	1
Done	4	3	7
Total	943	34	977

Error

0.4b

Counts

977 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.8b	(+.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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	33.4b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
▶	27.5b	(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) 1)
	30.0b	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
▶	41.4b	(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
	5.1b	(+.f64 (+.f64 (+.f64 1 (-.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)))
	41.7b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
▶	18.8b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	40.9b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
	45.8b	(/.f64 (+.f64 (.f64 (+.f64 1 (-.f64 y (pow.f64 (-.f64 1 (sqrt.f64 y)) 2))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (+.f64 (expm1.f64 (.f64 1/2 (log1p.f64 y))) (sqrt.f64 y)) (+.f64 1 (-.f64 x x)))) (.f64 (+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 y))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	41.2b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 3)
	37.3b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2)))
	3.7b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.5b	(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
✓	1.9b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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)))
	35.7b	(-.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	22.3b	(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1)
	37.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
▶	1.9b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	42.3b	(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
	1.9b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 (+.f64 1 x) 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)))
	30.2b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
	33.3b	(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	21.5b	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
	57.7b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	27.8b	(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
	3.6b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.1b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) 2)
	33.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
✓	1.2b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.9b	(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
	30.4b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
▶	22.6b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
	41.6b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))

Compiler

Compiled 1821 to 1425 computations (21.7% saved)

localize131.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (-.f64 y y)) (/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))
	2.1b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	2.8b	(-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))
	4.4b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 234 to 130 computations (44.4% saved)

series43.0ms (0.1%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	y	@	-inf	(-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))
2.0ms	y	@	inf	(-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))
2.0ms	y	@	-inf	(/.f64 (+.f64 1 (-.f64 y y)) (/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))
1.0ms	y	@	inf	(/.f64 (+.f64 1 (-.f64 y y)) (/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))
1.0ms	y	@	0	(-.f64 (hypot.f64 1 (sqrt.f64 y)) (sqrt.f64 y))

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
781×	`add-log-exp_binary64`
779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	249	22
2	2511	22

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

((#(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 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4) (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 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 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (pow.f64 y 1/4)) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (pow.f64 y 1/4)))))) (#(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 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))) (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))))))) (#(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 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) (cbrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (neg.f64 (sqrt.f64 y)) 3)) (+.f64 (+.f64 1 y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(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 pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 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 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (fma.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4) (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 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (pow.f64 (+.f64 1 y) 3/2) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))) (/.f64 (pow.f64 y 3/2) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) (/.f64 y (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))))) (#(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 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 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (pow.f64 y 1/4)) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (pow.f64 y 1/4)))))) (#(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 pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 y)))))))

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	2
1	4	2

Stop Event

1×

saturated

Counts

76 → 47

Calls

Call 1

Inputs
1
1

Outputs
1
1

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.9b	(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite138.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	174	9
2	2542	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (-.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 (-.f64 x x)))) (/.f64 x (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 0) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))) (cbrt.f64 (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (-.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (-.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (-.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 x x)) (sqrt.f64 (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 1 (-.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (-.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	4	1

Stop Event

1×

saturated

Counts

40 → 40

Calls

Call 1

Inputs
1

Outputs
1

localize83.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 y)))
✓	4.1b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
✓	4.4b	(-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

Compiler

Compiled 65 to 42 computations (35.4% saved)

series6.0ms (0%)

Counts

3 → 9

Calls

12 calls:

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

rewrite212.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`fma-neg_binary64`
287×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
242×	`log-pow_binary64`
240×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	332	47
2	5235	47

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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(exp.f64 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 z))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 z))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 y)))) (/.f64 (+.f64 1 y) (-.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 y) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 y) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y))) (+.f64 1 (pow.f64 (+.f64 1 y) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 0 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (expm1.f64 (*.f64 1/2 (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 y) 3/2)) (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 y) 3/2)) (+.f64 (+.f64 1 y) (-.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 y) (-.f64 1 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 y) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 0 y)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 y) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) 1)))))

simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
508×	`fma-def_binary64`
497×	`associate-l_binary64`
334×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	100
1	81	98
2	172	95
3	424	88
4	1021	85
5	2821	85
6	4601	85
7	6232	85
8	7794	85

Stop Event

1×	node limit

Counts

176 → 183

Calls

Call 1

Inputs
1
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
2
(+.f64 2 (*.f64 1/2 y))
(+.f64 2 (+.f64 (.f64 1/2 y) (.f64 -1/8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 1/2 y) (+.f64 (.f64 1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2)))))

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

localize112.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	0.7b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
✓	1.1b	(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
✓	3.7b	(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))

Compiler

Compiled 90 to 51 computations (43.3% saved)

series35.0ms (0.1%)

Counts

3 → 11

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	y	@	inf	(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)

rewrite132.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`log-prod_binary64`
623×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
244×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	365	64
2	5013	64

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 1 (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 1 y) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 y (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 y) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 1 (-.f64 y (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 3)) (+.f64 (+.f64 1 y) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 y (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 2))) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) 3))) (neg.f64 (+.f64 (+.f64 1 y) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> 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y)) (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 1/2) (neg.f64 (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 x 1/4)) (neg.f64 (-.f64 (sqrt.f64 y) (hypot.f64 1 (sqrt.f64 x)))))))))

simplify43.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

226×	`fma-def_binary64`
198×	`fma-neg_binary64`
82×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-in_binary64`
60×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	122
1	35	122
2	50	122
3	88	122
4	138	122
5	229	122
6	422	122
7	594	122
8	831	122
9	1031	122
10	1183	122
11	1195	122

Stop Event

1×

saturated

Counts

233 → 160

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 x))
(*.f64 -1 (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
(-.f64 (+.f64 1 (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 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(+.f64 (-.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (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 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(+.f64 (-.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

localize65.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))
✓	1.1b	(+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))
	2.1b	(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
✓	6.9b	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))

Compiler

Compiled 161 to 90 computations (44.1% saved)

series74.0ms (0.2%)

Counts

3 → 13

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
9.0ms	x	@	inf	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
7.0ms	t	@	inf	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
7.0ms	x	@	0	(/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))
6.0ms	x	@	-inf	(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

271×	`add-sqr-sqrt_binary64`
268×	`pow1_binary64`
267×	`*-un-lft-identity_binary64`
251×	`add-cbrt-cube_binary64`
251×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	104
1	508	77

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs

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

(+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))

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

Outputs

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x)))))))

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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 y))) (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (sqrt.f64 x)))))))

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

895×	`times-frac_binary64`
787×	`fma-neg_binary64`
402×	`cancel-sign-sub-inv_binary64`
313×	`sub-neg_binary64`
282×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	831
1	269	790
2	925	741
3	4253	740

Stop Event

1×	node limit

Counts

157 → 168

Calls

Call 1

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

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

eval662.0ms (2.2%)

Compiler: Compiled 27010 to 16999 computations (37.1% saved)

prune267.0ms (0.9%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	799	23	822
Fresh	10	16	26
Picked	1	0	1
Done	4	3	7
Total	814	42	856

Error

0.0b

Counts

856 → 42

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.8b	(+.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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	33.4b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
	21.4b	(+.f64 (+.f64 2 (*.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	22.9b	(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	20.6b	(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	5.1b	(+.f64 (+.f64 (+.f64 1 (-.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)))
	45.8b	(/.f64 (+.f64 (.f64 (+.f64 1 (-.f64 y (pow.f64 (-.f64 1 (sqrt.f64 y)) 2))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (+.f64 (expm1.f64 (.f64 1/2 (log1p.f64 y))) (sqrt.f64 y)) (+.f64 1 (-.f64 x x)))) (.f64 (+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 y))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	29.1b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2)))) 2)
	41.4b	(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))
	44.1b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	22.9b	(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 x)))) 3) 1)
	42.3b	1
	21.1b	(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
	19.7b	(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	18.0b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y)))
	40.9b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
	41.4b	(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
	41.4b	(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
	27.5b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))))) 2)
	34.2b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) 2)
	42.0b	(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
	36.0b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) 2)
	30.2b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
	21.1b	(log.f64 (/.f64 (exp.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (expm1.f64 (sqrt.f64 y)))))
	33.3b	(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	19.8b	(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) y) (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)))) (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 y) 3/2)))) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)) (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)))))
	37.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	42.3b	(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
	1.9b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 (+.f64 1 x) 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)))
	21.5b	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
	33.7b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) 2)
	57.7b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	27.8b	(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
	33.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
	3.6b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
✓	1.2b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.9b	(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
	30.4b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
	41.7b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
	41.4b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	1.9b	(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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)))
	42.4b	(+.f64 1 (neg.f64 (sqrt.f64 x)))

Compiler

Compiled 1043 to 831 computations (20.3% saved)

regimes659.0ms (2.2%)

Counts

76 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (neg.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 2 (*.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.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 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y)))
(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))))) 2)
(+.f64 (+.f64 (+.f64 1 (-.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 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (expm1.f64 (sqrt.f64 y)))))
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2)))) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) 2)
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 3)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 3)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 x)))) 3) 1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.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 (+.f64 z (-.f64 1 z)) (+.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 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (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 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (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 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 y)) (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 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) 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 (-.f64 (pow.f64 (+.f64 1 y) 3/2) (pow.f64 y 3/2)) (+.f64 (+.f64 (+.f64 1 y) y) (sqrt.f64 (*.f64 (+.f64 1 y) y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 (+.f64 1 x) 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 1 (-.f64 y (pow.f64 (-.f64 1 (sqrt.f64 y)) 2))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (+.f64 (expm1.f64 (.f64 1/2 (log1p.f64 y))) (sqrt.f64 y)) (+.f64 1 (-.f64 x x)))) (.f64 (+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 y))) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) y) (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)))) (.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 y) 3/2)))) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)) (-.f64 (+.f64 1 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)))))

Outputs

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

Calls

16 calls:

191.0ms	y
104.0ms	t
72.0ms	x
62.0ms	z
25.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`z`
1.2b	1	`t`
1.2b	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)))`
1.2b	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)))`
1.2b	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)))`
1.2b	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)))`
1.2b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.2b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.2b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.2b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
1.2b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
1.2b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
1.2b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1974 to 1300 computations (34.1% saved)

regimes655.0ms (2.2%)

Counts

69 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (neg.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 2 (*.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.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 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y)))
(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))))) 2)
(+.f64 (+.f64 (+.f64 1 (-.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 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (expm1.f64 (sqrt.f64 y)))))
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2)))) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) 2)
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 3)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 3)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 x)))) 3) 1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.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 (+.f64 z (-.f64 1 z)) (+.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 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (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 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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

15 calls:

171.0ms	x
76.0ms	y
42.0ms	t
39.0ms	z
24.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Results

Error	Segments	Branch
1.9b	1	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`t`
1.9b	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)))`
1.9b	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)))`
1.9b	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)))`
1.9b	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)))`
1.9b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.9b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.9b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.9b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.9b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
1.9b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
1.9b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1622 to 1070 computations (34% saved)

regimes1.3s (4.3%)

Counts

65 → 2

Calls

Call 1

Inputs
1
(+.f64 1 (neg.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 2 (*.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.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 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y)))
(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))))) 2)
(+.f64 (+.f64 (+.f64 1 (-.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 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (expm1.f64 (sqrt.f64 y)))))
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2)))) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) 2)
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 3)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 3)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 x)))) 3) 1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

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

Calls

16 calls:

259.0ms	y
153.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
153.0ms	x
145.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
63.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Results

Error	Segments	Branch
2.0b	2	`x`
2.0b	2	`y`
4.1b	1	`z`
4.1b	1	`t`
2.0b	2	`(+.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)))`
2.0b	2	`(+.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)))`
2.0b	2	`(+.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)))`
2.0b	2	`(+.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)))`
2.0b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.0b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.0b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.0b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
3.0b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
3.0b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
4.1b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.1b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1485 to 989 computations (33.4% saved)

bsearch284.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
283.0ms	558.4004015684403	3026.3585085401837

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes1.1s (3.6%)

Counts

64 → 2

Calls

Call 1

Inputs
1
(+.f64 1 (neg.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 2 (*.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.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 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y)))
(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))))) 2)
(+.f64 (+.f64 (+.f64 1 (-.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 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 1) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (+.f64 1 (expm1.f64 (sqrt.f64 y)))))
(-.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y)))) (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (/.f64 (+.f64 1 (-.f64 y x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) 2)))) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))) 2)
(exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 3)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 3)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 2)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 x)))) 3) 1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (hypot.f64 1 (sqrt.f64 t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))

Outputs

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

Calls

13 calls:

226.0ms	t
185.0ms	z
114.0ms	y
103.0ms	x
103.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Results

Error	Segments	Branch
2.1b	2	`x`
2.1b	2	`y`
4.0b	2	`z`
5.1b	1	`t`
2.1b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.1b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.1b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.1b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
3.2b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
3.2b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
3.7b	3	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
3.7b	3	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
5.1b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1341 to 883 computations (34.2% saved)

bsearch236.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
235.0ms	5.484053509800018e+31	7.474409179918119e+32

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes675.0ms (2.3%)

Counts

44 → 3

Calls

Call 1

Inputs
1
(+.f64 1 (neg.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))
(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 2 (*.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (+.f64 1 (*.f64 1/2 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 x)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t)))
(-.f64 (+.f64 2 (+.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 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y)))
(+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) 1)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 y)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (-.f64 1 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y)))) 3) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) 2)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))) 3))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 z)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)))))) 2)

Outputs

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

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

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

Calls

4 calls:

225.0ms	t
133.0ms	y
123.0ms	x
103.0ms	z

Results

Error	Segments	Branch
11.1b	3	`x`
4.1b	2	`y`
3.6b	3	`z`
9.9b	3	`t`

Compiler

Compiled 703 to 465 computations (33.9% saved)

bsearch490.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
246.0ms	2.2437517479300632e+30	7.792146200463464e+30
244.0ms	1.5172183661289052e-24	3.981716791377732e-22

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes485.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

246.0ms	x
109.0ms	t
85.0ms	z
33.0ms	y

Results

Error	Segments	Branch
13.7b	2	`x`
6.9b	2	`y`
4.5b	3	`z`
10.3b	3	`t`

Compiler

Compiled 382 to 257 computations (32.7% saved)

bsearch203.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	2.2437517479300632e+30	7.792146200463464e+30
105.0ms	1.5172183661289052e-24	3.981716791377732e-22

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes284.0ms (1%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

4 calls:

108.0ms	y
86.0ms	t
51.0ms	x
29.0ms	z

Results

Error	Segments	Branch
13.7b	2	`x`
6.9b	2	`y`
6.9b	2	`z`
13.1b	2	`t`

Compiler

Compiled 295 to 198 computations (32.9% saved)

bsearch194.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
194.0ms	2.0165899666012955e-20	8.129276816015238e-16

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes469.0ms (1.6%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))

Calls

4 calls:

221.0ms	t
117.0ms	y
80.0ms	z
42.0ms	x

Results

Error	Segments	Branch
19.2b	2	`x`
6.9b	3	`y`
14.2b	3	`z`
18.5b	6	`t`

Compiler

Compiled 244 to 165 computations (32.4% saved)

bsearch385.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
186.0ms	34721730252025.332	305954575684329150.0
199.0ms	2.0165899666012955e-20	8.129276816015238e-16

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes180.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

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

Outputs
(+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))

Calls

4 calls:

55.0ms	z
43.0ms	x
42.0ms	t
32.0ms	y

Results

Error	Segments	Branch
19.2b	2	`x`
7.0b	3	`y`
14.2b	3	`z`
19.6b	3	`t`

Compiler

Compiled 214 to 147 computations (31.3% saved)

bsearch303.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
133.0ms	818027180953.7164	34721730252025.332
169.0ms	2.0165899666012955e-20	8.129276816015238e-16

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes78.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

Outputs
(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))

Calls

4 calls:

31.0ms	z
20.0ms	y
13.0ms	x
7.0ms	t

Results

Error	Segments	Branch
19.2b	2	`x`
7.1b	3	`y`
14.3b	3	`z`
21.1b	1	`t`

Compiler

Compiled 119 to 83 computations (30.3% saved)

bsearch276.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
106.0ms	818027180953.7164	34721730252025.332
169.0ms	1.2488006607689187e-26	2.8217562998183236e-25

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes67.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	z
19.0ms	y
12.0ms	x
7.0ms	t

Results

Error	Segments	Branch
19.3b	2	`x`
7.1b	3	`y`
14.3b	3	`z`
21.1b	1	`t`

Compiler

Compiled 108 to 76 computations (29.6% saved)

bsearch193.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
95.0ms	818027180953.7164	34721730252025.332
98.0ms	1.2488006607689187e-26	2.8217562998183236e-25

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes63.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	z
18.0ms	y
12.0ms	x
7.0ms	t

Results

Error	Segments	Branch
19.3b	2	`x`
7.1b	3	`y`
14.3b	3	`z`
21.1b	1	`t`

Compiler

Compiled 99 to 70 computations (29.3% saved)

bsearch326.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
184.0ms	818027180953.7164	34721730252025.332
142.0ms	1.2488006607689187e-26	2.8217562998183236e-25

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes89.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	z
22.0ms	y
21.0ms	x
11.0ms	t

Results

Error	Segments	Branch
19.3b	2	`x`
10.0b	2	`y`
16.7b	2	`z`
21.1b	1	`t`

Compiler

Compiled 72 to 51 computations (29.2% saved)

bsearch99.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
99.0ms	0.04637627181512525	4.137369500660434

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes21.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
4.0ms	t
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
41.4b	1	`x`
41.4b	1	`y`
41.4b	1	`z`
41.4b	1	`t`

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes17.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	t
4.0ms	x
4.0ms	y
3.0ms	z

Results

Error	Segments	Branch
42.0b	1	`x`
42.0b	1	`y`
42.0b	1	`z`
42.0b	1	`t`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes15.0ms (0%)

Accuracy

Total -0.3b remaining (-0.7%)

Threshold costs -0.3b (-0.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

4 calls:

4.0ms	y
3.0ms	z
3.0ms	t
3.0ms	x

Results

Error	Segments	Branch
42.3b	1	`x`
42.3b	1	`y`
42.3b	1	`z`
42.3b	1	`t`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

73×	`+-commutative_binary64`
39×	`sub-neg_binary64`
31×	`unsub-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
28×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	879
1	207	879
2	254	879
3	303	879
4	364	879
5	415	879
6	452	879
7	467	879
8	479	879
9	483	879

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (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 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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 4911741875834303/8796093022208) (+.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 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))))
(if (<=.f64 y 54840535098000184153227808210944) (+.f64 (+.f64 (+.f64 1 (-.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 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))))
(if (<=.f64 z 4130261254098103/2722258935367507707706996859454145691648) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t))) (if (<=.f64 z 2243751747930063178184066596864) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (/.f64 (+.f64 1 (-.f64 z z)) (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)))
(if (<=.f64 z 4130261254098103/2722258935367507707706996859454145691648) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 z)) (sqrt.f64 t))) (if (<=.f64 z 2243751747930063178184066596864) (+.f64 (+.f64 2 (.f64 1/2 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1)))
(if (<=.f64 y 6862100069441050624/340282366920938463463374607431768211456) (+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) 1))
(if (<=.f64 y 6862100069441050624/340282366920938463463374607431768211456) (+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) (if (<=.f64 y 8888762944518485/256) (-.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))))
(if (<=.f64 y 6862100069441050624/340282366920938463463374607431768211456) (+.f64 2 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) (if (<=.f64 y 6701278666372845/8192) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))))
(if (<=.f64 y 4351435209306927/348449143727040986586495598010130648530944) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 6701278666372845/8192) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (neg.f64 (sqrt.f64 x)))))
(if (<=.f64 y 4351435209306927/348449143727040986586495598010130648530944) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 6701278666372845/8192) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 4351435209306927/348449143727040986586495598010130648530944) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 6701278666372845/8192) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 855491217266404992/18446744073709551616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (neg.f64 (sqrt.f64 x)))
1

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

Compiler

Compiled 626 to 474 computations (24.3% saved)

soundness0.0ms (0%)

end576.0ms (1.9%)

Compiler: Compiled 660 to 439 computations (33.5% saved)

Iter	Nodes	Cost
0	125	879
1	207	879
2	254	879
3	303	879
4	364	879
5	415	879
6	452	879
7	467	879
8	479	879
9	483	879

Iter	Nodes	Cost
0	125	879
1	207	879
2	254	879
3	303	879
4	364	879
5	415	879
6	452	879
7	467	879
8	479	879
9	483	879

Iter	Nodes	Cost
0	125	879
1	207	879
2	254	879
3	303	879
4	364	879
5	415	879
6	452	879
7	467	879
8	479	879
9	483	879