Details

analyze441.0ms (1.2%)

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)

sample9.7s (26%)

Results

5.0s	16006×	body	256	invalid
2.4s	4526×	body	512	valid
1.5s	1799×	body	1024	valid
679.0ms	1931×	body	256	valid

preprocess87.0ms (0.2%)

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)

simplify99.0ms (0.3%)

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

5.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.9b	(+.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))))))
▶	5.3b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Status

Error

Program

▶

42.9b

(+.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))))))

▶

5.3b

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

Compiler

Compiled 70 to 54 computations (22.9% saved)

localize85.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))
✓	1.9b	(+.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))))))
✓	14.3b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))))
✓	15.1b	(+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))

Compiler

Compiled 137 to 83 computations (39.4% saved)

series58.0ms (0.2%)

Counts

4 → 21

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(+.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))))))
3.0ms	x	@	-inf	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 y)) (+.f64 (sqrt.f64 t) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t))))))
3.0ms	t	@	-inf	(-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 t)))
3.0ms	y	@	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))))))
2.0ms	y	@	-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))))))

rewrite139.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
1	603	106

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify83.0ms (0.2%)

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))

localize95.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
✓	3.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 142 to 87 computations (38.7% saved)

series11.0ms (0%)

Counts

4 → 4

Calls

12 calls:

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

rewrite109.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

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

Outputs
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simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	4
1	4	4

Stop Event

1×

saturated

Counts

152 → 149

Calls

Call 1

Inputs
1
1
1
1

Outputs
1
1
1
1

eval284.0ms (0.8%)

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

prune108.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	326	13	339
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	327	14	341

Error

1.5b

Counts

341 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	57.4b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
	39.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (fma.f64 (pow.f64 (+.f64 z 1) 1/4) (pow.f64 (+.f64 z 1) 1/4) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
✓	5.3b	(+.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)))
	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)))
▶	5.3b	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	4.8b	(+.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)))
	10.8b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (-.f64 (pow.f64 (+.f64 z 1) 3/2) (pow.f64 z 3/2)) (+.f64 (+.f64 (+.f64 z 1) z) (sqrt.f64 (*.f64 (+.f64 z 1) z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.5b	(-.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))))
▶	39.4b	(+.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))))))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	5.3b	(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	37.1b	(+.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))))
	4.5b	(+.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)))
▶	2.8b	(+.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 1019 to 783 computations (23.2% saved)

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	3.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 181 to 106 computations (41.4% saved)

series6.0ms (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)))

2.0ms

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

2.0ms

inf

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

rewrite54.0ms (0.1%)

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)))))))

simplify8.0ms (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

localize124.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)))
✓	0.0b	(-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))
✓	1.9b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))
✓	4.7b	(-.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))

Compiler

Compiled 92 to 53 computations (42.4% saved)

series16.0ms (0%)

Counts

4 → 20

Calls

27 calls:

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

rewrite128.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 t)) (.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 1 (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) 2) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) (fma.f64 (neg.f64 (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4))) (hypot.f64 (pow.f64 t 1/4) (pow.f64 y 1/4)) (+.f64 (sqrt.f64 t) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (.f64 (neg.f64 (pow.f64 y 1/4)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) 2) (cbrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))) (sqrt.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 1 t) 3/2) (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 1 t) (.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (-.f64 t (pow.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 y)) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 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simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	352
1	192	346
2	490	343
3	1616	330
4	4243	328
5	7884	328

Stop Event

1×	node limit

Counts

197 → 210

Calls

Call 1

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

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

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
✓	0.0b	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
✓	7.1b	(+.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)))))

Compiler

Compiled 126 to 70 computations (44.4% saved)

series19.0ms (0.1%)

Counts

4 → 17

Calls

33 calls:

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

rewrite198.0ms (0.5%)

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	95
1	452	95
2	7179	95

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify216.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3771×	`fma-neg_binary64`
879×	`sub-neg_binary64`
501×	`fma-def_binary64`
438×	`associate--r+_binary64`
339×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	306
1	117	306
2	275	306
3	696	306
4	2086	306
5	3562	306
6	5475	306
7	6515	306
8	7200	306
9	7309	306
10	7341	306
11	7392	306
12	7474	306
13	7474	306
14	7474	306
15	7474	306

Stop Event

1×	node limit

Counts

194 → 205

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

localize76.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	2.6b	(+.f64 z (-.f64 1 z))
	2.8b	(-.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 (0.1%)

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)))))

simplify9.0ms (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

localize199.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	3.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 242 to 163 computations (32.6% saved)

series8.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
835×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	183	13
2	2451	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) 3/2) (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 3/2))) x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/4)) (pow.f64 x 3/4) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) 9/2) (pow.f64 x 9/2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) 3/2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) (-.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) 3/2) (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 1 x) 9/2) (pow.f64 x 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 9/2) (pow.f64 x 9/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) 3/2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 9/2) (pow.f64 x 9/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) 3/2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 9/2) (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (neg.f64 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (neg.f64 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 1 x) 3/2) (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4) (neg.f64 (pow.f64 x 3/2)))))))

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
751×	`fma-def_binary64`
430×	`associate-/l*_binary64`
428×	`associate-/r*_binary64`
413×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	402
1	163	390
2	417	300
3	1389	248
4	7225	228

Stop Event

1×	node limit

Counts

47 → 57

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 3/2 x))) (pow.f64 x 3/2))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x)))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))))
(.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (.f64 3/128 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))

Outputs
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 x 3/2)) (pow.f64 x 3/2))
(-.f64 (fma.f64 x 3/2 1) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 3/2 x))) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (fma.f64 3/8 (.f64 x x) (.f64 x 3/2))) (pow.f64 x 3/2))
(-.f64 (+.f64 (fma.f64 x 3/2 1) (.f64 x (.f64 x 3/8))) (pow.f64 x 3/2))
(-.f64 (fma.f64 x 3/2 (fma.f64 3/8 (*.f64 x x) 1)) (pow.f64 x 3/2))
(-.f64 (fma.f64 x (fma.f64 x 3/8 3/2) 1) (pow.f64 x 3/2))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(-.f64 (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (.f64 x x) (.f64 x 3/2)))) (pow.f64 x 3/2))
(+.f64 (fma.f64 -1/16 (pow.f64 x 3) 1) (-.f64 (fma.f64 x 3/2 (.f64 x (.f64 x 3/8))) (pow.f64 x 3/2)))
(-.f64 (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x 3/2 (fma.f64 3/8 (*.f64 x x) 1))) (pow.f64 x 3/2))
(-.f64 (fma.f64 x (fma.f64 x 3/8 3/2) (fma.f64 -1/16 (pow.f64 x 3) 1)) (pow.f64 x 3/2))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (sqrt.f64 x)))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/2 (sqrt.f64 x) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 3/2 (sqrt.f64 x) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 x)))))
(fma.f64 3/2 (sqrt.f64 x) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(.f64 (/.f64 3/2 x) (.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))
(.f64 (exp.f64 (.f64 3/2 (log.f64 x))) (/.f64 3/2 x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 x x)) (.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (+.f64 3/2 (/.f64 3/8 x)))
(.f64 (/.f64 (exp.f64 (.f64 3/2 (log.f64 x))) x) (+.f64 3/2 (/.f64 3/8 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (+.f64 3/2 (/.f64 3/8 x)))
(+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 x x)) (.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 3/2 (/.f64 (.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) x) (/.f64 (pow.f64 -1 3/2) x)) (+.f64 3/8 (/.f64 -1/16 x))))
(.f64 (/.f64 (exp.f64 (.f64 3/2 (log.f64 x))) x) (+.f64 3/2 (+.f64 (/.f64 -1/16 (*.f64 x x)) (/.f64 3/8 x))))
(.f64 (/.f64 (pow.f64 x 3/2) x) (+.f64 3/2 (+.f64 (/.f64 -1/16 (.f64 x x)) (/.f64 3/8 x))))
(+.f64 (.f64 3/128 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (.f64 3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(fma.f64 3/128 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 4)) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 x x)) (.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
(fma.f64 3/128 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (+.f64 3/2 (/.f64 3/8 x))) (.f64 (.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) x) (/.f64 (pow.f64 -1 3/2) x)) (+.f64 (/.f64 -1/16 x) (/.f64 3/128 (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (.f64 3/2 (log.f64 x))) x) (+.f64 3/2 (/.f64 3/8 x)) (.f64 (/.f64 (exp.f64 (*.f64 3/2 (log.f64 x))) (pow.f64 x 3)) (+.f64 -1/16 (/.f64 3/128 x))))
(fma.f64 (/.f64 (pow.f64 x 3/2) x) (+.f64 3/2 (/.f64 3/8 x)) (*.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 x 3)) (+.f64 -1/16 (/.f64 3/128 x))))

eval742.0ms (2%)

Compiler: Compiled 36505 to 23063 computations (36.8% saved)

prune361.0ms (1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	867	12	879
Fresh	4	4	8
Picked	0	1	1
Done	3	2	5
Total	874	19	893

Error

0.0b

Counts

893 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(+.f64 1 (-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))
	5.4b	(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.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)))
	4.9b	(+.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))))
	51.4b	(+.f64 (+.f64 (+.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.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)))
▶	4.3b	(+.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)))
▶	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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	6.5b	(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.5b	(+.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)))
✓	5.3b	(+.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)))
	23.0b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
▶	1.3b	(+.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)))
✓	2.8b	(+.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)))
	41.5b	(-.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))))
	4.8b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)) (/.f64 (+.f64 z (-.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	25.6b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))
▶	34.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	34.0b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))
	57.4b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
✓	5.3b	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 1182 to 912 computations (22.8% saved)

localize124.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	0.1b	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	3.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 220 to 125 computations (43.2% saved)

series38.0ms (0.1%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

35.0ms

inf

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

2.0ms

-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)))

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

simplify10.0ms (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

localize24.0ms (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))
✓	7.1b	(+.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)

series13.0ms (0%)

Counts

4 → 13

Calls

21 calls:

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

rewrite131.0ms (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	54
1	301	54
2	4608	54

Stop Event

1×	node limit

Counts

4 → 209

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

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

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
525×	`associate-l_binary64`
492×	`fma-def_binary64`
321×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	121
1	78	119
2	153	116
3	384	109
4	946	106
5	2747	106
6	4431	106
7	5796	106
8	7189	106

Stop Event

1×	node limit

Counts

222 → 227

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))
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 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 (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)) (-.f64 1 (sqrt.f64 y)))
(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1))
(-.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))
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 (0.2%)

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)) (sqrt.f64 (+.f64 1 y)))
	0.0b	(+.f64 (sqrt.f64 z) (sqrt.f64 y))
✓	7.1b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 (+.f64 1 y)))) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))

Compiler

Compiled 86 to 56 computations (34.9% saved)

series7.0ms (0%)

Counts

3 → 16

Calls

15 calls:

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

rewrite157.0ms (0.4%)

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 → 155

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
532×	`fma-neg_binary64`
486×	`unswap-sqr_binary64`
370×	`associate-+l+_binary64`
312×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	50	247
1	138	235
2	346	231
3	1012	213
4	2537	213
5	3385	213
6	4761	213
7	6162	212

Stop Event

1×	node limit

Counts

171 → 185

Calls

Call 1

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

localize104.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Compiler

Compiled 155 to 97 computations (37.4% saved)

series4.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
844×	`add-log-exp_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	178	14
2	2466	14

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

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

23 → 23

Calls

Call 1

Inputs
1

Outputs
1

localize136.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	2.6b	(+.f64 z (-.f64 1 z))
	2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Compiler

Compiled 202 to 121 computations (40.1% saved)

series4.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify10.0ms (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

eval697.0ms (1.9%)

Compiler: Compiled 30164 to 18866 computations (37.5% saved)

prune334.0ms (0.9%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	851	21	872
Fresh	3	8	11
Picked	1	0	1
Done	1	6	7
Total	856	35	891

Error

0.0b

Counts

891 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(+.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))
	5.4b	(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (exp.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)))
	34.5b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) 3)
	26.0b	(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
	34.3b	(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))))
	4.3b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	39.4b	(+.f64 1 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
	4.9b	(+.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))))
	51.4b	(+.f64 (+.f64 (+.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.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)))
	37.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) 2))
	34.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (-.f64 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	3.9b	(+.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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	34.9b	(+.f64 1 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
✓	34.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	57.3b	(/.f64 (+.f64 1 (-.f64 y (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))))
	34.6b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
	3.6b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	6.5b	(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	4.5b	(+.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)))
	4.5b	(+.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)))
	57.4b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
✓	5.3b	(+.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)))
	35.6b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
▶	23.0b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
	34.0b	(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	6.1b	(+.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)))
✓	1.3b	(+.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)))
✓	2.8b	(+.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)))
▶	1.6b	(+.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 (+.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)))
✓	5.3b	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	34.2b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) 2)
▶	41.5b	(-.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))))
✓	4.3b	(+.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)))
	34.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1))
▶	41.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 1871 to 1457 computations (22.1% saved)

localize191.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
✓	0.2b	(sqrt.f64 (*.f64 (+.f64 1 x) x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	3.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 300 to 199 computations (33.7% 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))

rewrite90.0ms (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))))))

simplify64.0ms (0.2%)

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))))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts

2 → 5

Calls

6 calls:

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

rewrite79.0ms (0.2%)

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	17
1	152	17
2	2094	17

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

660×	`distribute-rgt-in_binary64`
606×	`distribute-lft-in_binary64`
536×	`unswap-sqr_binary64`
516×	`associate-l_binary64`
445×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	47	38
2	105	38
3	300	32
4	744	31
5	2414	31
6	4059	31
7	4287	31
8	4586	31
9	5125	31
10	6122	31

Stop Event

1×	node limit

Counts

63 → 65

Calls

Call 1

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

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 y) (sqrt.f64 z))
✓	0.1b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
✓	7.9b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))
✓	11.3b	(-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))

Compiler

Compiled 72 to 40 computations (44.4% saved)

series10.0ms (0%)

Counts

4 → 13

Calls

24 calls:

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

rewrite137.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`fma-neg_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
240×	`log-pow_binary64`
220×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	331	75
2	5182	75

Stop Event

1×	node limit

Counts

4 → 229

Calls

Call 1

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

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

380×	`fma-def_binary64`
332×	`fma-neg_binary64`
134×	`cancel-sign-sub-inv_binary64`
101×	`associate--r+_binary64`
100×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	134
1	46	134
2	73	134
3	135	134
4	220	134
5	371	134
6	689	134
7	978	134
8	1363	134
9	1691	134
10	1943	134
11	1963	134

Stop Event

1×

saturated

Counts

242 → 244

Calls

Call 1

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

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

localize66.0ms (0.2%)

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))
✓	7.3b	(-.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)

series16.0ms (0%)

Counts

4 → 23

Calls

33 calls:

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

rewrite126.0ms (0.3%)

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

simplify175.0ms (0.5%)

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))))

localize89.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	0.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
	1.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	3.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 181 to 106 computations (41.4% saved)

eval514.0ms (1.4%)

Compiler: Compiled 28735 to 17664 computations (38.5% saved)

prune246.0ms (0.7%)

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	784	24	808
Fresh	4	20	24
Picked	0	1	1
Done	4	6	10
Total	792	51	843

Error

0.0b

Counts

843 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	33.6b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 (-.f64 (+.f64 1 z) (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) 2)) (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
	21.5b	(+.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z))))
	39.1b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	34.5b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) 3)
	41.5b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 (+.f64 1 x) x))))
	34.3b	(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))))
	2.9b	(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	41.3b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) 3) 1/3))))
	4.3b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y))) 2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	39.4b	(+.f64 1 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
	20.3b	(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y)))
	25.6b	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (hypot.f64 1 (sqrt.f64 y))))))) 1)
	4.9b	(+.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))))
	51.4b	(+.f64 (+.f64 (+.f64 (/.f64 (.f64 3/2 (sqrt.f64 x)) (+.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)))
✓	4.3b	(+.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)))
	33.9b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))))))
	44.5b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 1/2 z)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	41.9b	(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))))))
	46.9b	(-.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))
	41.5b	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))
	37.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) 2))
	41.7b	(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
	34.4b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (-.f64 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))))
	23.1b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) 3)))
	3.9b	(+.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 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	41.5b	(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	42.2b	1
	34.9b	(+.f64 1 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))))
✓	34.0b	(+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))
	57.3b	(/.f64 (+.f64 1 (-.f64 y (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))))
	4.5b	(+.f64 (+.f64 (+.f64 (log1p.f64 (expm1.f64 (-.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)))
	34.6b	(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1))
	26.0b	(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (hypot.f64 1 (sqrt.f64 y))))) 3))
	34.6b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
	3.6b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	25.9b	(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (hypot.f64 1 (sqrt.f64 y)))))) 3)
	6.5b	(+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
✓	4.5b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
✓	41.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
	41.9b	(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
	41.7b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (fma.f64 (pow.f64 (+.f64 1 z) 1/4) (pow.f64 (+.f64 1 z) 1/4) (neg.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))
	41.9b	(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
	33.2b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 y z))))))
	57.4b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 (+.f64 1 x))))) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 x) (sqrt.f64 t))))
✓	5.3b	(+.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)))
✓	23.0b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))
	34.0b	(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))
	6.1b	(+.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)))
✓	1.3b	(+.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)))
	23.3b	(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))))
	34.2b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))) 2)

Compiler

Compiled 1346 to 1056 computations (21.5% saved)

regimes647.0ms (1.7%)

Counts

72 → 2

Calls

Call 1

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

89.0ms	z
81.0ms	x
78.0ms	y
51.0ms	t
48.0ms	(+.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
0.3b	2	`x`
0.1b	2	`y`
0.1b	2	`z`
1.3b	1	`t`
0.1b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
0.1b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
0.1b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
0.1b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
0.1b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
0.1b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.3b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.3b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
0.1b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
0.1b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
1.3b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
1.3b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 2047 to 1327 computations (35.2% saved)

bsearch128.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
127.0ms	1.6728622018806565e+27	2.3420735791457475e+27

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes1.2s (3.1%)

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

245.0ms	x
220.0ms	y
154.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
122.0ms	z
56.0ms	t

Results

Error	Segments	Branch
1.4b	2	`x`
1.4b	2	`y`
1.5b	2	`z`
2.8b	1	`t`
1.4b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
1.4b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
1.4b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
1.4b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
1.4b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.4b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.4b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.4b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.5b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1529 to 992 computations (35.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0029947454646048755

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes784.0ms (2.1%)

Counts

57 → 2

Calls

Call 1

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

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

Calls

15 calls:

169.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
101.0ms	y
96.0ms	z
92.0ms	x
72.0ms	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Results

Error	Segments	Branch
1.5b	2	`x`
1.5b	2	`y`
1.5b	2	`z`
2.8b	1	`t`
1.5b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
1.5b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
1.5b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
1.5b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
1.5b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.5b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.5b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.5b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.5b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1406 to 916 computations (34.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999842439422	0.9999999999999745

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes645.0ms (1.7%)

Counts

56 → 1

Calls

Call 1

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

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:

132.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
88.0ms	t
76.0ms	y
65.0ms	z
35.0ms	x

Results

Error	Segments	Branch
2.8b	1	`x`
2.8b	1	`y`
2.8b	1	`z`
2.8b	1	`t`
2.8b	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)))`
2.8b	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)))`
2.8b	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)))`
2.8b	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)))`
2.8b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.8b	1	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
2.8b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1367 to 892 computations (34.7% saved)

regimes1.1s (2.9%)

Counts

55 → 2

Calls

Call 1

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

Outputs

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

Calls

16 calls:

204.0ms	x
173.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
170.0ms	t
137.0ms	y
94.0ms	z

Results

Error	Segments	Branch
1.9b	2	`x`
1.9b	2	`y`
4.3b	1	`z`
4.3b	1	`t`
1.9b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
1.9b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
1.9b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
1.9b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
1.9b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.9b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
1.9b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.9b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
1.9b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
4.3b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.3b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
4.3b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1341 to 879 computations (34.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.002993672755621901

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes833.0ms (2.2%)

Counts

51 → 2

Calls

Call 1

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

Outputs

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

Calls

15 calls:

85.0ms	y
76.0ms	t
69.0ms	z
67.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
66.0ms	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))

Results

Error	Segments	Branch
2.8b	2	`x`
2.8b	2	`y`
5.3b	1	`z`
5.3b	1	`t`
2.8b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
2.8b	2	`(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))`
2.8b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
2.8b	2	`(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))`
2.8b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.8b	2	`(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))`
2.8b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.8b	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
2.8b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
5.3b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
5.3b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 1186 to 781 computations (34.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0029947454646048755

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes414.0ms (1.1%)

Counts

49 → 2

Calls

Call 1

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

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

Calls

8 calls:

95.0ms	x
95.0ms	y
89.0ms	t
34.0ms	z
12.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Results

Error	Segments	Branch
3.1b	2	`x`
3.0b	2	`y`
6.1b	1	`z`
6.1b	1	`t`
3.3b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
3.3b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
6.1b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
6.1b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 950 to 609 computations (35.9% saved)

bsearch187.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
186.0ms	1.9293630078411976e+30	8.063206175253032e+31

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes341.0ms (0.9%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

7 calls:

99.0ms	x
85.0ms	y
70.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
23.0ms	z
22.0ms	t

Results

Error	Segments	Branch
3.5b	2	`x`
3.4b	2	`y`
6.5b	1	`z`
6.5b	1	`t`
3.4b	2	`(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))`
6.5b	1	`(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))`
6.5b	1	`(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))`

Compiler

Compiled 719 to 466 computations (35.2% saved)

bsearch4.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0727089829742908e-6	2.854561898857355e-6

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes852.0ms (2.3%)

Counts

37 → 2

Calls

Call 1

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

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

Calls

4 calls:

278.0ms	z
222.0ms	x
196.0ms	t
121.0ms	y

Results

Error	Segments	Branch
14.1b	4	`x`
6.2b	2	`y`
15.5b	4	`z`
14.8b	6	`t`

Compiler

Compiled 611 to 392 computations (35.8% saved)

bsearch111.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
110.0ms	30680498937.427963	217260996953.47253

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes238.0ms (0.6%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

71.0ms	t
66.0ms	z
51.0ms	y
43.0ms	x

Results

Error	Segments	Branch
15.5b	4	`x`
6.0b	3	`y`
16.3b	4	`z`
16.0b	6	`t`

Compiler

Compiled 191 to 133 computations (30.4% saved)

bsearch182.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	332581002450147.6	16899151966752626.0
89.0ms	5.062546996102832e-22	8.13496078889497e-19

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes175.0ms (0.5%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	x
46.0ms	t
34.0ms	z
24.0ms	y

Results

Error	Segments	Branch
15.5b	4	`x`
6.6b	3	`y`
16.4b	4	`z`
16.0b	6	`t`

Compiler

Compiled 161 to 115 computations (28.6% saved)

bsearch382.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
193.0ms	30680498937.427963	217260996953.47253
188.0ms	5.062546996102832e-22	8.13496078889497e-19

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes265.0ms (0.7%)

Counts

12 → 5

Calls

Call 1

Inputs
1
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z)))
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1))
(+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
(+.f64 1 (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))

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

Calls

4 calls:

89.0ms	t
85.0ms	x
51.0ms	y
33.0ms	z

Results

Error	Segments	Branch
18.1b	8	`x`
16.5b	5	`y`
15.9b	5	`z`
17.8b	9	`t`

Compiler

Compiled 128 to 92 computations (28.1% saved)

bsearch371.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
97.0ms	2.716932641093776e+181	1.919324864659863e+182
98.0ms	3.7116364499216265e+168	6.486721557629565e+168
87.0ms	1.7237002018336683e+109	1.483375485877359e+110
87.0ms	2061756901170.0	279326259965345.13

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes224.0ms (0.6%)

Counts

10 → 9

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	x
54.0ms	t
52.0ms	z
33.0ms	y

Results

Error	Segments	Branch
21.2b	7	`x`
19.0b	5	`y`
15.8b	9	`z`
18.2b	9	`t`

Compiler

Compiled 107 to 79 computations (26.2% saved)

bsearch1.2s (3.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
173.0ms	1.1288356159155267e+275	5.673112675914452e+282
115.0ms	6.098789985749242e+246	1.4196815474198256e+251
116.0ms	2.1805094440027102e+215	1.7969559551487678e+217
174.0ms	1.2360104755004707e+197	2.7241729305171678e+197
135.0ms	2.716932641093776e+181	1.919324864659863e+182
152.0ms	2.9275730598692184e+162	8.036939760797312e+163
164.0ms	1.7237002018336683e+109	1.483375485877359e+110
201.0ms	2061756901170.0	279326259965345.13

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes566.0ms (1.5%)

Counts

8 → 9

Calls

Call 1

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

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

Calls

4 calls:

191.0ms	x
189.0ms	t
104.0ms	z
78.0ms	y

Results

Error	Segments	Branch
26.1b	10	`x`
18.6b	7	`y`
15.8b	9	`z`
26.1b	6	`t`

Compiler

Compiled 85 to 63 computations (25.9% saved)

bsearch2.4s (6.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
541.0ms	1.1288356159155267e+275	5.673112675914452e+282
261.0ms	6.098789985749242e+246	1.4196815474198256e+251
141.0ms	2.1805094440027102e+215	1.7969559551487678e+217
267.0ms	1.2360104755004707e+197	2.7241729305171678e+197
289.0ms	2.716932641093776e+181	1.919324864659863e+182
442.0ms	2.9275730598692184e+162	8.036939760797312e+163
310.0ms	1.7237002018336683e+109	1.483375485877359e+110
136.0ms	2061756901170.0	279326259965345.13

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes450.0ms (1.2%)

Counts

7 → 9

Calls

Call 1

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

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

Calls

4 calls:

210.0ms	z
101.0ms	x
72.0ms	y
60.0ms	t

Results

Error	Segments	Branch
26.1b	10	`x`
18.6b	7	`y`
15.8b	9	`z`
26.1b	6	`t`

Compiler

Compiled 76 to 57 computations (25% saved)

bsearch2.1s (5.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
279.0ms	1.1288356159155267e+275	5.673112675914452e+282
354.0ms	6.098789985749242e+246	1.4196815474198256e+251
207.0ms	2.1805094440027102e+215	1.7969559551487678e+217
258.0ms	1.2360104755004707e+197	2.7241729305171678e+197
339.0ms	2.716932641093776e+181	1.919324864659863e+182
263.0ms	2.9275730598692184e+162	8.036939760797312e+163
207.0ms	1.7237002018336683e+109	1.483375485877359e+110
182.0ms	2061756901170.0	279326259965345.13

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes433.0ms (1.2%)

Counts

6 → 9

Calls

Call 1

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

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

Calls

4 calls:

146.0ms	z
135.0ms	t
115.0ms	x
33.0ms	y

Results

Error	Segments	Branch
26.1b	10	`x`
18.6b	7	`y`
15.8b	9	`z`
26.1b	6	`t`

Compiler

Compiled 67 to 51 computations (23.9% saved)

bsearch1.4s (3.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
337.0ms	1.1288356159155267e+275	5.673112675914452e+282
187.0ms	6.098789985749242e+246	1.4196815474198256e+251
118.0ms	2.1805094440027102e+215	1.7969559551487678e+217
151.0ms	1.1577822878362023e+202	4.2303264421673307e+204
161.0ms	2.716932641093776e+181	1.919324864659863e+182
196.0ms	2.9275730598692184e+162	8.036939760797312e+163
129.0ms	1.7237002018336683e+109	1.483375485877359e+110
164.0ms	2061756901170.0	279326259965345.13

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes87.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	t
19.0ms	z
19.0ms	x
18.0ms	y

Results

Error	Segments	Branch
35.8b	2	`x`
28.1b	2	`y`
25.2b	2	`z`
33.8b	2	`t`

Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch211.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
211.0ms	1.6728622018806565e+27	2.3420735791457475e+27

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes80.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	t
8.0ms	x
7.0ms	z
7.0ms	y

Results

Error	Segments	Branch
35.8b	2	`x`
28.1b	2	`y`
25.2b	2	`z`
33.8b	2	`t`

Compiler

Compiled 49 to 38 computations (22.4% saved)

bsearch144.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
144.0ms	1.6728622018806565e+27	2.3420735791457475e+27

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes19.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
4.0ms	z
4.0ms	t
4.0ms	y

Results

Error	Segments	Branch
41.5b	1	`x`
41.5b	1	`y`
41.5b	1	`z`
41.5b	1	`t`

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes16.0ms (0%)

Accuracy

Total -0.6b remaining (-1.4%)

Threshold costs -0.6b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
3.0ms	z
3.0ms	y
3.0ms	t

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`y`
41.7b	1	`z`
41.7b	1	`t`

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

71×	`+-commutative_binary64`
28×	`sub-neg_binary64`
10×	`*-commutative_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1813
1	262	1813
2	302	1813
3	323	1813
4	332	1813

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z 1672862201880656494364459008) (+.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 (+.f64 1 (-.f64 t t)) (+.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 (+.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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 0) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.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 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 18446743889242109952/18446744073709551616) (+.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 (+.f64 1 (-.f64 t t)) (+.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)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(if (<=.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))) 0) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (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 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(if (<=.f64 y 1929363007841197643273397600256) (+.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 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)) 4722366482869645/2361183241434822606848) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(if (<=.f64 y 2010677178363279/65536) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) (sqrt.f64 y))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 y 172269547448235872/340282366920938463463374607431768211456) (+.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)))) (if (<=.f64 y 2660648019601181/8) (+.f64 (sqrt.f64 (+.f64 1 y)) (-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(if (<=.f64 y 172269547448235872/340282366920938463463374607431768211456) (+.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 z)) (sqrt.f64 z)))) (if (<=.f64 y 2010677178363279/65536) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(if (<=.f64 z 2061756901170) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (if (<=.f64 z 17237002018336682518913042397898239938443881200593767612862391683186227476591152819770611453686485384693809152) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (if (<=.f64 z 3711636449921626472696632165718584273457394708565186481647872420945981555828176273723473150537973366107055571278199623608526775546864742213773194554914388996771981295616) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (if (<=.f64 z 27169326410937758354876084327016152803441156465082556769042320029792845589846253655987562851394500477256823961396186807822878159631283643752589251169636242738491910376190767550955520) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(if (<=.f64 z 2061756901170) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (if (<=.f64 z 17237002018336682518913042397898239938443881200593767612862391683186227476591152819770611453686485384693809152) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (if (<=.f64 z 2927573059869218398451537142285321783924414972964092669990035215862106415049714891202850816448181407604604339585848530720310373937228260211473316598737281874919424) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 27169326410937758354876084327016152803441156465082556769042320029792845589846253655987562851394500477256823961396186807822878159631283643752589251169636242738491910376190767550955520) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (if (<=.f64 z 123601047550047069831087895384766807639609647613691728203643011822028162223379646937721699183049904560298362821641982575483095038149595614359723429185599485512976419247845122610756394102689848360960) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 218050944400271020205203189025611785968195914131823585400378349045588999610526155824282386610770253576934369307548015842070590123529938656155512276398168167269490157007405711692274503970460944741472674772445973970944) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 6098789985749242265270155593653597960068876196034893980413909117203476185591622747561089266034355286461409731056778806942325974632274591500448489061292445958604833866713164151052532559133674986970946684049948369265695639138035658942716530948833280) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 112883561591552666831161449255576004233559526388230106156417276778884237430104611313622409138695878706817075881922997254883162398866442690608138643668055456019939189837941568118083739223226673202247497288983425040606467149742004531100282609472811216515906956003122396685926400) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (+.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)))))))))))
(if (<=.f64 z 2061756901170) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (if (<=.f64 z 17237002018336682518913042397898239938443881200593767612862391683186227476591152819770611453686485384693809152) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (if (<=.f64 z 2927573059869218398451537142285321783924414972964092669990035215862106415049714891202850816448181407604604339585848530720310373937228260211473316598737281874919424) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 27169326410937758354876084327016152803441156465082556769042320029792845589846253655987562851394500477256823961396186807822878159631283643752589251169636242738491910376190767550955520) (-.f64 (sqrt.f64 (+.f64 1 y)) (+.f64 (sqrt.f64 y) -1)) (if (<=.f64 z 123601047550047069831087895384766807639609647613691728203643011822028162223379646937721699183049904560298362821641982575483095038149595614359723429185599485512976419247845122610756394102689848360960) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 218050944400271020205203189025611785968195914131823585400378349045588999610526155824282386610770253576934369307548015842070590123529938656155512276398168167269490157007405711692274503970460944741472674772445973970944) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 6098789985749242265270155593653597960068876196034893980413909117203476185591622747561089266034355286461409731056778806942325974632274591500448489061292445958604833866713164151052532559133674986970946684049948369265695639138035658942716530948833280) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 112883561591552666831161449255576004233559526388230106156417276778884237430104611313622409138695878706817075881922997254883162398866442690608138643668055456019939189837941568118083739223226673202247497288983425040606467149742004531100282609472811216515906956003122396685926400) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) 1))))))))
(if (<=.f64 z 2061756901170) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (if (<=.f64 z 17237002018336682518913042397898239938443881200593767612862391683186227476591152819770611453686485384693809152) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (if (<=.f64 z 2927573059869218398451537142285321783924414972964092669990035215862106415049714891202850816448181407604604339585848530720310373937228260211473316598737281874919424) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 27169326410937758354876084327016152803441156465082556769042320029792845589846253655987562851394500477256823961396186807822878159631283643752589251169636242738491910376190767550955520) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (if (<=.f64 z 123601047550047069831087895384766807639609647613691728203643011822028162223379646937721699183049904560298362821641982575483095038149595614359723429185599485512976419247845122610756394102689848360960) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 218050944400271020205203189025611785968195914131823585400378349045588999610526155824282386610770253576934369307548015842070590123529938656155512276398168167269490157007405711692274503970460944741472674772445973970944) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (if (<=.f64 z 6098789985749242265270155593653597960068876196034893980413909117203476185591622747561089266034355286461409731056778806942325974632274591500448489061292445958604833866713164151052532559133674986970946684049948369265695639138035658942716530948833280) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 112883561591552666831161449255576004233559526388230106156417276778884237430104611313622409138695878706817075881922997254883162398866442690608138643668055456019939189837941568118083739223226673202247497288983425040606467149742004531100282609472811216515906956003122396685926400) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) 1))))))))
(if (<=.f64 z 2061756901170) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (if (<=.f64 z 17237002018336682518913042397898239938443881200593767612862391683186227476591152819770611453686485384693809152) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (if (<=.f64 z 2927573059869218398451537142285321783924414972964092669990035215862106415049714891202850816448181407604604339585848530720310373937228260211473316598737281874919424) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 27169326410937758354876084327016152803441156465082556769042320029792845589846253655987562851394500477256823961396186807822878159631283643752589251169636242738491910376190767550955520) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (if (<=.f64 z 11577822878362022729897308094125626658266683471593986959305380405751131027736990645786745576630275353461611975717852287733545808190239054593774302829936796311209543633105152838307796214527347742585389056) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 218050944400271020205203189025611785968195914131823585400378349045588999610526155824282386610770253576934369307548015842070590123529938656155512276398168167269490157007405711692274503970460944741472674772445973970944) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) (if (<=.f64 z 6098789985749242265270155593653597960068876196034893980413909117203476185591622747561089266034355286461409731056778806942325974632274591500448489061292445958604833866713164151052532559133674986970946684049948369265695639138035658942716530948833280) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (if (<=.f64 z 112883561591552666831161449255576004233559526388230106156417276778884237430104611313622409138695878706817075881922997254883162398866442690608138643668055456019939189837941568118083739223226673202247497288983425040606467149742004531100282609472811216515906956003122396685926400) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 y)) 1))))))))
(if (<=.f64 z 1672862201880656494364459008) (-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 z 1672862201880656494364459008) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
1

Outputs
(if (<=.f64 z 1672862201880656494364459008) (+.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 (+.f64 1 (-.f64 t t)) (+.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 (+.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 z 1672862201880656494364459008) (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z 1))))) (/.f64 (+.f64 1 (-.f64 t t)) (+.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 1 t))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) 0) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.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 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))))
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 0) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 z 1)))) (+.f64 (/.f64 (+.f64 1 (-.f64 y y)) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 1 y)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
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(if (<=.f64 z 1672862201880656494364459008) (-.f64 (+.f64 (sqrt.f64 (+.f64 z 1)) 2) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 z 1672862201880656494364459008) (+.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 2 (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 z 1672862201880656494364459008) (+.f64 (sqrt.f64 (+.f64 z 1)) (-.f64 2 (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 x 1/2)) (sqrt.f64 x))
1

Compiler

Compiled 1246 to 906 computations (27.3% saved)

soundness0.0ms (0%)

end775.0ms (2.1%)

Compiler: Compiled 1346 to 880 computations (34.6% saved)