Details

analyze353.0ms (1.5%)

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)

sample8.8s (37.7%)

Results

4.5s	15871×	body	256	invalid
2.3s	4550×	body	512	valid
1.4s	1769×	body	1024	valid
509.0ms	1937×	body	256	valid

preprocess102.0ms (0.4%)

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)

simplify46.0ms (0.2%)

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

4.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.8b	(+.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 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	43.9b	(+.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))))))

Status

Error

Program

▶

4.8b

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

▶

43.9b

(+.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))))))

Compiler

Compiled 70 to 54 computations (22.9% saved)

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))
✓	0.8b	(+.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))))))
✓	19.3b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))
✓	20.8b	(+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))

Compiler

Compiled 137 to 83 computations (39.4% saved)

series28.0ms (0.1%)

Counts

4 → 21

Calls

33 calls:

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

rewrite153.0ms (0.7%)

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))))))))

simplify94.0ms (0.4%)

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))

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	1.6b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
✓	4.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 142 to 87 computations (38.7% saved)

series15.0ms (0.1%)

Counts

4 → 4

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
2.0ms	t	@	inf	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
2.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms	y	@	inf	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
1.0ms	z	@	-inf	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite123.0ms (0.5%)

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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simplify14.0ms (0.1%)

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

eval220.0ms (0.9%)

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

prune115.0ms (0.5%)

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

1.0b

Counts

341 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.7b	(-.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))))
	4.4b	(+.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))))
▶	4.4b	(+.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)))
	4.7b	(+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (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)))
▶	57.0b	(-.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))))
▶	2.6b	(+.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)))
	39.2b	(+.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))))))
	4.8b	(+.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
✓	4.8b	(+.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)))
	3.7b	(+.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)))
▶	35.1b	(+.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))))
	5.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 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))))) (-.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)))

Compiler

Compiled 905 to 699 computations (22.8% saved)

localize87.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	1.6b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	4.3b	(-.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

3.0ms

-inf

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

3.0ms

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)))

rewrite72.0ms (0.3%)

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

localize81.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))
✓	0.7b	(+.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))))
✓	3.5b	(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))

Compiler

Compiled 92 to 53 computations (42.4% saved)

series14.0ms (0.1%)

Counts

4 → 19

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(-.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	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	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))))

rewrite138.0ms (0.6%)

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	78
1	452	78
2	7211	78

Stop Event

1×	node limit

Counts

4 → 166

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

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

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
873×	`sub-neg_binary64`
522×	`fma-neg_binary64`
397×	`+-commutative_binary64`
377×	`associate--l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	322
1	196	316
2	507	316
3	1745	304
4	4627	303
5	7446	303

Stop Event

1×	node limit

Counts

185 → 199

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

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))
✓	0.1b	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	8.0b	(-.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)

series18.0ms (0.1%)

Counts

4 → 23

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(+.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))))
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	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))))

rewrite166.0ms (0.7%)

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 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))))

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

simplify101.0ms (0.4%)

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 z))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))
✓	0.0b	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
✓	4.9b	(-.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)

series18.0ms (0.1%)

Counts

4 → 25

Calls

30 calls:

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

rewrite136.0ms (0.6%)

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

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

simplify77.0ms (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 (sqrt.f64 x) (sqrt.f64 t))
(+.f64 (sqrt.f64 z) (sqrt.f64 t))
(+.f64 (sqrt.f64 z) (sqrt.f64 x))
(+.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)))))))
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 (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))
(+.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))))
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)))

localize126.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	1.6b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	3.4b	(+.f64 z (-.f64 1 z))
	3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Compiler

Compiled 175 to 108 computations (38.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`pow1_binary64`
635×	`add-log-exp_binary64`
635×	`log1p-expm1-u_binary64`
635×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	114	7
2	1660	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12
1	4	12

Stop Event

1×

saturated

Counts

49 → 38

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1

eval816.0ms (3.5%)

Compiler: Compiled 34227 to 20510 computations (40.1% saved)

prune370.0ms (1.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	884	25	909
Fresh	5	2	7
Picked	1	0	1
Done	3	2	5
Total	893	29	922

Error

0.0b

Counts

922 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.1b	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)
	31.3b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	21.5b	(*.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)
	33.4b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
	4.4b	(+.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))))
	44.0b	(cbrt.f64 (pow.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))
	56.9b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
▶	44.7b	(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	3.7b	(+.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)))
	35.1b	(+.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)))
▶	54.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
▶	43.9b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
	21.5b	(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
	2.7b	(+.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)))
	31.3b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	19.7b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	32.0b	(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)))
	44.0b	(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)
	44.3b	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 z)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	57.0b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 3))
	34.4b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	44.3b	(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))))))
✓	2.6b	(+.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)))
	31.5b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))
▶	1.1b	(+.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)))
	4.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	31.4b	(-.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))
✓	4.8b	(+.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 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	43.7b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))

Compiler

Compiled 1696 to 1320 computations (22.2% saved)

localize125.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	0.1b	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	1.6b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	4.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 220 to 125 computations (43.2% saved)

series4.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite66.0ms (0.3%)

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 y 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)))))))

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 y))
✓	0.7b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
	3.5b	(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))

Compiler

Compiled 55 to 30 computations (45.5% saved)

series7.0ms (0%)

Counts

2 → 8

Calls

9 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
617×	`fma-neg_binary64`
258×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`
220×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	301	30
2	4608	30

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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)) (hypot.f64 1 (sqrt.f64 (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))))))

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
510×	`associate-l_binary64`
492×	`fma-def_binary64`
320×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	73	91
2	152	88
3	382	81
4	942	78
5	2702	78
6	4385	78
7	5768	78
8	7147	78

Stop Event

1×	node limit

Counts

108 → 113

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
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
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 t))) (sqrt.f64 t))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
(-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))
(-.f64 (+.f64 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 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
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 y (.f64 y -1/8))))
(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 (*.f64 y 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)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))
	0.0b	(sqrt.f64 (+.f64 1 z))
✓	7.9b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))

Compiler

Compiled 67 to 44 computations (34.3% saved)

series8.0ms (0%)

Counts

3 → 16

Calls

15 calls:

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

rewrite139.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
240×	`log-pow_binary64`
174×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	331	47
2	5336	47

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
519×	`fma-neg_binary64`
486×	`unswap-sqr_binary64`
360×	`associate-+l+_binary64`
316×	`*-commutative_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	49	241
1	136	231
2	342	231
3	1024	213
4	2492	213
5	3355	213
6	4733	213
7	6137	212

Stop Event

1×	node limit

Counts

168 → 182

Calls

Call 1

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

localize79.0ms (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 x) (sqrt.f64 y))
✓	3.5b	(exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y)))))
✓	39.1b	(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))

Compiler

Compiled 127 to 82 computations (35.4% saved)

series8.0ms (0%)

Counts

2 → 18

Calls

18 calls:

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

rewrite175.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

402×	`log1p-udef_binary64`
244×	`add-sqr-sqrt_binary64`
242×	`pow1_binary64`
241×	`*-un-lft-identity_binary64`
227×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	472	59
2	7360	59

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs

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

(exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y)))))

Outputs

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

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-neg_binary64`
963×	`sub-neg_binary64`
513×	`associate-+l+_binary64`
363×	`associate-+r+_binary64`
344×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	468
1	222	456
2	685	456
3	2549	456
4	4134	456
5	6951	456

Stop Event

1×	node limit

Counts

119 → 136

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 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 (+.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 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 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)))))))
(+.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)))))))

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

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
✓	0.1b	(cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))
✓	0.1b	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)
✓	4.9b	(+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))

Compiler

Compiled 161 to 92 computations (42.9% saved)

series180.0ms (0.8%)

Counts

3 → 18

Calls

27 calls:

Time	Variable		Point	Expression
79.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)
12.0ms	z	@	0	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)
11.0ms	z	@	inf	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)
9.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)
9.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`add-sqr-sqrt_binary64`
268×	`pow1_binary64`
267×	`*-un-lft-identity_binary64`
255×	`add-cbrt-cube_binary64`
255×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
1	547	122

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

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

(pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) 3)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sqrt.f64 z)) (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) 1)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) 2) (+.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (sqrt.f64 z))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 1/6) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 1/6) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.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 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) (-.f64 (-.f64 1 (+.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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (-.f64 1 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))) 2)) (/.f64 1 (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) 1) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) 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1))))))

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
693×	`fma-def_binary64`
617×	`associate-l_binary64`
518×	`associate-r_binary64`
409×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	498
1	177	498
2	476	498
3	2209	498
4	6919	498

Stop Event

1×	node limit

Counts

174 → 127

Calls

Call 1

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

Outputs
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 2 (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 1 (-.f64 (+.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 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) -1))))
(-.f64 (+.f64 2 (+.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 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (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 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.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 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (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 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 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
(-.f64 (+.f64 1 (+.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 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t))))
(pow.f64 (*.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (pow.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 2)) 1/3)
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 2 (sqrt.f64 x)) (sqrt.f64 t))))
(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(pow.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 2)) 1/3)
(+.f64 1 (-.f64 (+.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 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))
(+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) -1))))
(*.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (pow.f64 1 1/3))
(-.f64 (+.f64 2 (+.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 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.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 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) (-.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 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1 (+.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 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 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 t))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t))))
(pow.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1/3)
(cbrt.f64 (+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(cbrt.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 2 (sqrt.f64 x)) (sqrt.f64 t)))))
(cbrt.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) 1/3)
(cbrt.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 t))) (+.f64 (sqrt.f64 x) (sqrt.f64 t)))))
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))))
(cbrt.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) -1)))))
(pow.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3)
(cbrt.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))
(cbrt.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3)
(cbrt.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))))
(cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (sqrt.f64 x)))
(pow.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3)
(cbrt.f64 (-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(cbrt.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 t) (sqrt.f64 z)))))
(cbrt.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t)))))
(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t))) 1/3)
(cbrt.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 t) (sqrt.f64 z))))))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (-.f64 1 (sqrt.f64 z)) (sqrt.f64 t)))))
(cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t)))))

eval692.0ms (3%)

Compiler: Compiled 30140 to 18157 computations (39.8% saved)

prune288.0ms (1.2%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	885	17	902
Fresh	7	15	22
Picked	1	0	1
Done	3	3	6
Total	896	35	931

Error

0.0b

Counts

931 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	42.8b	(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
	43.9b	(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
	3.7b	(+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 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)))
	33.4b	(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y))))
	21.5b	(*.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)
	43.9b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
	31.3b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	4.4b	(+.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))))
	56.9b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	43.9b	(-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
	42.6b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
	3.7b	(+.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)))
	35.1b	(+.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)))
	3.8b	(+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3) (/.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)))
	21.5b	(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))))
	30.1b	(pow.f64 (cbrt.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t))))) 3)
▶	2.7b	(+.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)))
▶	31.3b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	44.0b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 3))
	19.7b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	32.0b	(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)))
▶	44.3b	(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))))))
▶	54.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))
✓	2.6b	(+.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)))
▶	44.1b	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
	44.4b	(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
✓	1.1b	(+.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)))
	57.6b	(pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) 1)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (sqrt.f64 z))) 3)
	4.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	5.7b	(+.f64 (+.f64 (+.f64 1 (/.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)))
	31.4b	(-.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))
✓	4.8b	(+.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 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	44.3b	(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 z)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	22.1b	(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
	31.9b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))

Compiler

Compiled 1825 to 1431 computations (21.6% saved)

localize130.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (*.f64 (+.f64 1 x) x))
	1.6b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	4.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 261 to 180 computations (31% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`pow1_binary64`
549×	`add-log-exp_binary64`
549×	`log1p-expm1-u_binary64`
549×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	123	9
2	1532	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-neg_binary64`
654×	`times-frac_binary64`
654×	`fma-def_binary64`
438×	`cancel-sign-sub-inv_binary64`
252×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	68
1	96	68
2	284	68
3	656	68
4	2287	68
5	7979	68

Stop Event

1×	node limit

Counts

30 → 33

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 y))
✓	3.8b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series2.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
724×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	152	11
2	2094	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 1 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 (-.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 1 (-.f64 y y)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 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 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 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (+.f64 1 (-.f64 y y))))))) (#(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 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (neg.f64 (+.f64 1 (-.f64 y y))) (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 (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 pow.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 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 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (neg.f64 (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	1
1	4	1

Stop Event

1×

saturated

Counts

36 → 36

Calls

Call 1

Inputs
1

Outputs
1

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 y))
✓	0.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))
✓	0.1b	(+.f64 (sqrt.f64 y) (sqrt.f64 x))
✓	5.6b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))

Compiler

Compiled 55 to 30 computations (45.5% saved)

series8.0ms (0%)

Counts

3 → 9

Calls

18 calls:

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

rewrite221.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
617×	`fma-neg_binary64`
258×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`
220×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	301	48
2	4608	48

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

230×	`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	78
1	35	78
2	50	78
3	88	78
4	138	78
5	231	78
6	424	78
7	600	78
8	828	78
9	1028	78
10	1180	78
11	1192	78

Stop Event

1×

saturated

Counts

189 → 191

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))
✓	0.0b	(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3)
✓	0.3b	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
	7.9b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))

Compiler

Compiled 109 to 72 computations (33.9% saved)

series71.0ms (0.3%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	z	@	0	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
9.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
8.0ms	x	@	-inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
7.0ms	z	@	-inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
7.0ms	z	@	inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`fma-neg_binary64`
327×	`expm1-udef_binary64`
326×	`log1p-udef_binary64`
204×	`add-sqr-sqrt_binary64`
197×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	428	56
2	6049	56

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)

(pow.f64 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 2) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) (+.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 z))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 z))) (*.f64 -1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 z))) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 z))) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 z))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 2) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 2) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) (sqrt.f64 x)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/6) (pow.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 2) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 2))) (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 3) (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 z)))) 2) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))))) 1))))))

simplify189.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-l_binary64`
603×	`sqr-pow_binary64`
503×	`cube-prod_binary64`
460×	`pow-sqr_binary64`
420×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	132
1	74	120
2	153	120
3	309	120
4	610	120
5	1201	120
6	3080	120
7	3625	120
8	4175	120
9	4657	120
10	5189	120
11	5946	120
12	6534	120
13	7038	120
14	7480	120
15	7913	120

Stop Event

1×	node limit

Counts

101 → 109

Calls

Call 1

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

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))))
	0.1b	(+.f64 (sqrt.f64 x) (sqrt.f64 y))
✓	40.3b	(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))))))

Compiler

Compiled 110 to 56 computations (49.1% saved)

series13.0ms (0.1%)

Counts

2 → 10

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(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))))))
2.0ms	z	@	inf	(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))))))
1.0ms	z	@	0	(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))))))
1.0ms	y	@	0	(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))))))
1.0ms	x	@	-inf	(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))))))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

395×	`expm1-udef_binary64`
395×	`log1p-udef_binary64`
239×	`add-sqr-sqrt_binary64`
235×	`pow1_binary64`
234×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	74
1	466	66
2	6927	66

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

(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 (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 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 1 z)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (hypot.f64 1 (sqrt.f64 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 x)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))) (sqrt.f64 (+.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (hypot.f64 1 (sqrt.f64 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 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))) (sqrt.f64 (+.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))) (sqrt.f64 (+.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))) 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simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	223
1	100	223
2	246	223
3	672	223
4	2144	223
5	3644	223
6	5554	223
7	6623	223
8	7323	223
9	7505	223
10	7563	223
11	7616	223
12	7703	223
13	7703	223
14	7703	223
15	7703	223

Stop Event

1×	node limit

Counts

80 → 90

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

eval612.0ms (2.6%)

Compiler: Compiled 27928 to 17898 computations (35.9% saved)

prune350.0ms (1.5%)

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	846	25	871
Fresh	10	17	27
Picked	1	0	1
Done	3	4	7
Total	860	46	906

Error

0.0b

Counts

906 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	44.3b	(fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
	4.4b	(+.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))))
	3.7b	(+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 (sqrt.f64 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)))
	43.9b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
	5.7b	(+.f64 (+.f64 (+.f64 1 (/.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)))
	31.8b	(fma.f64 (pow.f64 (+.f64 1 y) 1/4) (pow.f64 (+.f64 1 y) 1/4) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	21.5b	(+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
	42.9b	1
	2.7b	(+.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) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (.f64 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)))
	31.6b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) 2)
	56.9b	(-.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 t)))) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))
	43.9b	(-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
	42.6b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
	31.8b	(fma.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (sqrt.f64 (+.f64 1 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
✓	4.8b	(+.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 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.1b	(+.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) 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)))
	3.7b	(+.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)))
	35.1b	(+.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)))
	44.1b	(pow.f64 (pow.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) 1/3) 3)
	3.8b	(+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3) (/.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)))
	44.0b	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) 1/3) 3)
	31.4b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y))) (sqrt.f64 x))
	41.8b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
	31.8b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) 1)))
	30.1b	(pow.f64 (cbrt.f64 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 t)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 t))))) 3)
✓	2.7b	(+.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)))
	35.8b	(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	19.7b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	31.7b	(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 y 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 y 1/4)) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))))
	3.2b	(+.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) (cbrt.f64 (pow.f64 (+.f64 x (.f64 x x)) 3/2)))) (-.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)))
	44.1b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))) 3)
	31.6b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (-.f64 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	34.1b	(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
	22.1b	(-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))
	31.3b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))))
	31.9b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
	31.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 y x)))))
	21.6b	(-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 y))))
	44.4b	(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))
✓	1.1b	(+.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)))
	57.6b	(pow.f64 (cbrt.f64 (-.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 z)) 1)) (+.f64 (sqrt.f64 x) (sqrt.f64 t))) (sqrt.f64 z))) 3)
	4.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	54.0b	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	31.9b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) 3)
	34.4b	(+.f64 (+.f64 1 (*.f64 1/2 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
✓	2.6b	(+.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)))

Compiler

Compiled 1234 to 969 computations (21.5% saved)

regimes857.0ms (3.7%)

Counts

81 → 1

Calls

Call 1

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

120.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
89.0ms	z
78.0ms	t
67.0ms	(+.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)))
66.0ms	y

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`z`
1.1b	1	`t`
1.1b	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)))`
1.1b	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)))`
1.1b	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)))`
1.1b	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)))`
1.1b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.1b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.1b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.1b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.1b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
1.1b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
1.1b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
1.1b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 2134 to 1373 computations (35.7% saved)

regimes550.0ms (2.4%)

Counts

71 → 1

Calls

Call 1

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

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:

91.0ms	y
84.0ms	z
61.0ms	x
56.0ms	t
28.0ms	(+.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
2.6b	1	`x`
2.6b	1	`y`
2.6b	1	`z`
2.6b	1	`t`
2.6b	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
2.6b	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
2.6b	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
2.6b	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
2.6b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.6b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.6b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.6b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.6b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
2.6b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
2.6b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1687 to 1088 computations (35.5% saved)

regimes652.0ms (2.8%)

Counts

68 → 1

Calls

Call 1

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

Outputs

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

Calls

14 calls:

80.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
71.0ms	y
66.0ms	t
56.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
54.0ms	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Results

Error	Segments	Branch
4.0b	1	`x`
4.0b	1	`y`
4.0b	1	`z`
4.0b	1	`t`
4.0b	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
4.0b	1	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
4.0b	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
4.0b	1	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
4.0b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
4.0b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
4.0b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
4.0b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.0b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.0b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1551 to 999 computations (35.6% saved)

regimes476.0ms (2%)

Counts

65 → 1

Calls

Call 1

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

Calls

11 calls:

90.0ms	y
85.0ms	x
65.0ms	z
57.0ms	t
29.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Results

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

Compiler

Compiled 1371 to 875 computations (36.2% saved)

regimes458.0ms (2%)

Counts

64 → 1

Calls

Call 1

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

6 calls:

97.0ms	y
96.0ms	t
75.0ms	x
64.0ms	z
48.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Results

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

Compiler

Compiled 1237 to 775 computations (37.3% saved)

regimes504.0ms (2.2%)

Counts

48 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

182.0ms	z
128.0ms	y
85.0ms	t
57.0ms	x

Results

Error	Segments	Branch
13.9b	2	`x`
9.0b	2	`y`
9.5b	2	`z`
11.0b	3	`t`

Compiler

Compiled 785 to 492 computations (37.3% saved)

bsearch98.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
96.0ms	5.474708517710431e+28	5.960440500505247e+35

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes281.0ms (1.2%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	z
71.0ms	x
66.0ms	t
40.0ms	y

Results

Error	Segments	Branch
14.7b	2	`x`
8.4b	3	`y`
9.5b	2	`z`
12.2b	3	`t`

Compiler

Compiled 350 to 227 computations (35.1% saved)

bsearch242.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	230530113109239.75	699291369135409800.0
113.0ms	3.0870146908345284e-34	1.850545791896906e-32

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes118.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	x
29.0ms	y
24.0ms	z
22.0ms	t

Results

Error	Segments	Branch
14.7b	2	`x`
8.4b	3	`y`
9.5b	2	`z`
15.8b	2	`t`

Compiler

Compiled 239 to 161 computations (32.6% saved)

bsearch186.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	230530113109239.75	699291369135409800.0
84.0ms	3.0870146908345284e-34	1.850545791896906e-32

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes112.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	t
27.0ms	x
27.0ms	y
19.0ms	z

Results

Error	Segments	Branch
15.2b	2	`x`
8.4b	3	`y`
10.0b	2	`z`
16.2b	2	`t`

Compiler

Compiled 209 to 144 computations (31.1% saved)

bsearch267.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	230530113109239.75	699291369135409800.0
114.0ms	3.0870146908345284e-34	1.850545791896906e-32

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes130.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	z
25.0ms	t
24.0ms	x
23.0ms	y

Results

Error	Segments	Branch
15.2b	2	`x`
10.0b	2	`y`
10.0b	2	`z`
16.2b	2	`t`

Compiler

Compiled 194 to 135 computations (30.4% saved)

bsearch89.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
89.0ms	107430412272.73264	138759120092853.5

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes138.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	z
28.0ms	x
23.0ms	t
17.0ms	y

Results

Error	Segments	Branch
15.2b	2	`x`
10.0b	2	`y`
10.0b	2	`z`
16.2b	2	`t`

Compiler

Compiled 180 to 127 computations (29.4% saved)

bsearch92.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
92.0ms	107430412272.73264	138759120092853.5

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes147.0ms (0.6%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	z
28.0ms	t
21.0ms	y
15.0ms	x

Results

Error	Segments	Branch
17.5b	2	`x`
10.7b	2	`y`
18.0b	7	`z`
20.4b	3	`t`

Compiler

Compiled 84 to 63 computations (25% saved)

bsearch87.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
87.0ms	0.0018335722571492705	5.797599274570947

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes18.0ms (0.1%)

Accuracy

Total -13.0b remaining (-31.1%)

Threshold costs -13.0b (-31.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
41.8b	1	`x`
41.8b	1	`y`
41.8b	1	`z`
41.8b	1	`t`

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

62×	`+-commutative_binary64`
30×	`sub-neg_binary64`
14×	`unsub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	641
1	168	641
2	214	641
3	251	641
4	284	641
5	290	641

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)))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.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 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (+.f64 (+.f64 1 (/.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)))
(if (<=.f64 y 54747085177104309399463133184) (+.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 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 922120452436959/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 922120452436959/4) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 922120452436959/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 z 3520279749352903/32768) (-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))
(if (<=.f64 z 3520279749352903/32768) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))
(if (<=.f64 y 33823438168286552/18446744073709551616) (+.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))
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)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))))
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 (+.f64 1 (/.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 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (+.f64 1 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))))
(if (<=.f64 y 54747085177104309399463133184) (+.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 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 1 (sqrt.f64 y)))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 922120452436959/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 922120452436959/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 922120452436959/4) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 922120452436959/4) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 922120452436959/4) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (if (<=.f64 y 922120452436959/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 7218683240190743/23384026197294446691258957323460528314494920687616) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (if (<=.f64 y 922120452436959/4) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 z 3520279749352903/32768) (-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))
(if (<=.f64 z 3520279749352903/32768) (-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))
(if (<=.f64 z 3520279749352903/32768) (-.f64 (+.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
(if (<=.f64 z 3520279749352903/32768) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))
(if (<=.f64 z 3520279749352903/32768) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (-.f64 1 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))))
(if (<=.f64 z 3520279749352903/32768) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))))
(if (<=.f64 y 33823438168286552/18446744073709551616) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 y 4227929771035819/2305843009213693952) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 2) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
1

Compiler

Compiled 463 to 355 computations (23.3% saved)

soundness0.0ms (0%)

end194.0ms (0.8%)

Compiler: Compiled 505 to 336 computations (33.5% saved)