Details

analyze354.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	74.9%	0.2%	0%	25%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
6.3%	4.7%	70.2%	0.2%	0%	25%	0%	10
9.4%	7%	67.8%	0.2%	0%	25%	0%	11
16.9%	10.5%	51.9%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample5.6s (39.6%)

Results

2.1s	10164×	body	256	infinite
2.1s	8256×	body	256	valid
1.3s	4592×	body	256	invalid

Bogosity

preprocess75.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

519×	`associate-l_binary64`
481×	`fma-neg_binary64`
472×	`fma-def_binary64`
466×	`distribute-rgt-in_binary64`
458×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	175
1	118	175
2	242	175
3	633	175
4	1664	175
5	3672	175
6	5892	175
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

Outputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(.f64 (.f64 (-.f64 (.f64 y 1/2) x) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (.f64 (sqrt.f64 (.f64 z 2)) (-.f64 (*.f64 1/2 y) x)))
(.f64 (-.f64 (.f64 1/2 y) x) (.f64 (sqrt.f64 (.f64 z 2)) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (-.f64 (*.f64 1/2 y) x)))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 y) x)))
(.f64 (.f64 (-.f64 (.f64 z 1/2) y) (sqrt.f64 (.f64 x 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (.f64 (-.f64 (.f64 1/2 z) y) (sqrt.f64 (*.f64 x 2))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (-.f64 (.f64 1/2 z) y)) (sqrt.f64 (*.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x 2)) (.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (-.f64 (*.f64 1/2 z) y)))
(.f64 (sqrt.f64 (.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 z) y)))
(.f64 (-.f64 (.f64 1/2 z) y) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 (.f64 x 2))))
(.f64 (.f64 (-.f64 (.f64 t 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 x x) 2)))
(.f64 (.f64 (sqrt.f64 (.f64 z 2)) (-.f64 (.f64 1/2 t) y)) (sqrt.f64 (exp.f64 (*.f64 x x))))
(.f64 (fma.f64 1/2 t (neg.f64 y)) (.f64 (sqrt.f64 (*.f64 z 2)) (sqrt.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (.f64 z 2)) (*.f64 (fma.f64 1/2 t (neg.f64 y)) (sqrt.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 1/2 t) y) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(.f64 (.f64 (sqrt.f64 (*.f64 z 2)) (fma.f64 1/2 t (neg.f64 y))) (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(.f64 (.f64 (-.f64 (.f64 x 1/2) z) (sqrt.f64 (.f64 y 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (.f64 (-.f64 (.f64 x 1/2) z) (sqrt.f64 (*.f64 y 2))))
(.f64 (-.f64 (.f64 x 1/2) z) (.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (sqrt.f64 (*.f64 y 2))))
(.f64 (sqrt.f64 (.f64 y 2)) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 x 1/2) z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (-.f64 (.f64 x 1/2) z) (sqrt.f64 (.f64 y 2))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) t) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 y y) 2)))
(.f64 (-.f64 (.f64 x 1/2) t) (.f64 (sqrt.f64 (.f64 z 2)) (sqrt.f64 (exp.f64 (*.f64 y y)))))
(.f64 (-.f64 (.f64 x 1/2) t) (.f64 (sqrt.f64 (.f64 z 2)) (sqrt.f64 (pow.f64 (exp.f64 y) y))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) t) (sqrt.f64 (exp.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) t) (pow.f64 (sqrt.f64 (exp.f64 y)) y)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 t 2))) (exp.f64 (/.f64 (*.f64 z z) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 2 t))) (sqrt.f64 (exp.f64 (*.f64 z z))))
(.f64 (sqrt.f64 (.f64 2 t)) (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (pow.f64 (exp.f64 z) z))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 2 t))) (sqrt.f64 (pow.f64 (exp.f64 z) z)))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 2 t)) (pow.f64 (sqrt.f64 (exp.f64 z)) z)))

Compiler

Compiled 25 to 20 computations (20% saved)

simplify189.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary64`
345×	`distribute-lft-neg-out_binary64`
320×	`distribute-rgt-neg-in_binary64`
316×	`associate-l_binary64`
313×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	52	25
3	116	25
4	289	25
5	639	25
6	1796	25
7	3740	25
8	5979	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (sqrt.f64 (exp.f64 (*.f64 t t))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))

eval1.0ms (0%)

Compiler: Compiled 37 to 27 computations (27% 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

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
▶	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
✓	0.0b	(/.f64 (*.f64 t t) 2)
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

Compiler

Compiled 66 to 40 computations (39.4% saved)

series46.0ms (0.3%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
3.0ms	y	@	-inf	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
2.0ms	x	@	inf	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
2.0ms	t	@	inf	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
1.0ms	z	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log-prod_binary64`
583×	`prod-diff_binary64`
307×	`fma-def_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	338	45
2	4230	45

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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

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

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

simplify116.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

559×	`distribute-rgt-in_binary64`
549×	`distribute-lft-in_binary64`
396×	`associate-r_binary64`
388×	`associate-l_binary64`
346×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	2332
1	172	2028
2	563	1484
3	2786	1455
4	7956	1455

Stop Event

1×	node limit

Counts

153 → 102

Calls

Call 1

Inputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(*.f64 1/2 (pow.f64 t 2))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))

Outputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (.f64 1/2 (sqrt.f64 2)) (*.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (.f64 1/2 (sqrt.f64 2)) (*.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (.f64 1/2 (sqrt.f64 2)) (*.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(*.f64 1/2 (pow.f64 t 2))
(.f64 1/2 (.f64 t t))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 (exp.f64 (.f64 t t))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
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(.f64 (.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
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(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 (.f64 t t) (fma.f64 1/2 x (neg.f64 y))))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 x (neg.f64 y)) (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (.f64 (+.f64 (.f64 1/2 (*.f64 t t)) 1) (fma.f64 1/2 x (neg.f64 y))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z)))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 (.f64 t t) (fma.f64 1/2 x (neg.f64 y))))) (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))) (sqrt.f64 z) (.f64 1/8 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (fma.f64 1/2 x (neg.f64 y)) (pow.f64 t 4)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (.f64 t t)))) (.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 t 4))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (-.f64 (.f64 1/2 x) y) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 1/8 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 t 4))))))
(.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 t t)) 1) (sqrt.f64 2)) (.f64 (*.f64 (sqrt.f64 2) 1/8) (pow.f64 t 4)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 (.f64 t t) (fma.f64 1/2 x (neg.f64 y))))) (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))) (sqrt.f64 z) (fma.f64 1/8 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 x (neg.f64 y)) (pow.f64 t 4)))) (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (.f64 (fma.f64 1/2 x (neg.f64 y)) (pow.f64 t 6)) (sqrt.f64 z)))))))
(+.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (.f64 t t)))))) (.f64 (sqrt.f64 z) (+.f64 (.f64 1/48 (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (pow.f64 t 6)))) (.f64 (.f64 1/8 (sqrt.f64 2)) (.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 t 4))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (-.f64 (.f64 1/2 x) y) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 2) (pow.f64 t 4))) (.f64 (.f64 (sqrt.f64 2) 1/48) (pow.f64 t 6))))))
(.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 t 4)) (.f64 1/48 (pow.f64 t 6)))) (.f64 (+.f64 (.f64 1/2 (.f64 t t)) 1) (sqrt.f64 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(fma.f64 -1 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))) (.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 1/2) (*.f64 t t)))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 t t)) 1/2))))))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (fma.f64 1/2 x (neg.f64 y)))))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 t))
✓	0.0b	(.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))

Compiler

Compiled 61 to 31 computations (49.2% saved)

series32.0ms (0.2%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
5.0ms	t	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
3.0ms	z	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
2.0ms	y	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
1.0ms	t	@	inf	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log-prod_binary64`
571×	`prod-diff_binary64`
295×	`fma-def_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	333	42
2	4107	42

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
(sqrt.f64 (exp.f64 t))

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

Outputs

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-lft-in_binary64`
647×	`distribute-rgt-in_binary64`
596×	`associate-l_binary64`
544×	`associate-r_binary64`
481×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1908
1	246	1808
2	768	1290
3	3837	1257

Stop Event

1×	node limit

Counts

121 → 101

Calls

Call 1

Inputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z)))
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(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z)))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
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(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))) (.f64 1/8 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 t 4)) (sqrt.f64 z)))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 6)) (sqrt.f64 z))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))) (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 4)) (sqrt.f64 z))))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
1
(+.f64 1 (*.f64 1/2 t))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/8 (pow.f64 t 2))))
(+.f64 (.f64 1/48 (pow.f64 t 3)) (+.f64 1 (+.f64 (.f64 1/2 t) (*.f64 1/8 (pow.f64 t 2)))))

Outputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 y (neg.f64 (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 x (sqrt.f64 z))) 1/2))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 1/2 x))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (.f64 (sqrt.f64 z) x) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 x (sqrt.f64 z))) 1/2))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 1/2 x))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (.f64 (sqrt.f64 z) x) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) y)) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) y)) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) y)) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 x (sqrt.f64 z))) 1/2))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 1/2 x))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (.f64 (sqrt.f64 z) x) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 y (neg.f64 (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (fma.f64 1/2 x (neg.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x)) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x) (sqrt.f64 z))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
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(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 6)) (sqrt.f64 z))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))) (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 4)) (sqrt.f64 z))))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 z) (fma.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (sqrt.f64 z))) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 t t) (sqrt.f64 z))) (.f64 1/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (sqrt.f64 z)))))))
(+.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (.f64 1/8 (.f64 (sqrt.f64 2) (pow.f64 t 4))))) (.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 2) (.f64 1/48 (*.f64 (sqrt.f64 2) (pow.f64 t 6))))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (+.f64 (.f64 1/48 (pow.f64 t 6)) 1) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 t 4)) (.f64 (*.f64 t 1/2) t)))))
(.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 1/48 (pow.f64 t 6)) (.f64 1/2 (.f64 t t))) (.f64 1/8 (pow.f64 t 4))))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 2) (sqrt.f64 z)))
1
(+.f64 1 (*.f64 1/2 t))
(+.f64 1 (*.f64 t 1/2))
(fma.f64 t 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/8 (pow.f64 t 2))))
(+.f64 1 (fma.f64 1/2 t (.f64 (.f64 t t) 1/8)))
(+.f64 1 (fma.f64 t 1/2 (.f64 t (.f64 t 1/8))))
(fma.f64 t 1/2 (fma.f64 t (*.f64 t 1/8) 1))
(+.f64 (.f64 1/48 (pow.f64 t 3)) (+.f64 1 (+.f64 (.f64 1/2 t) (*.f64 1/8 (pow.f64 t 2)))))
(fma.f64 1/48 (pow.f64 t 3) (+.f64 1 (fma.f64 1/2 t (.f64 (.f64 t t) 1/8))))
(+.f64 (fma.f64 t 1/2 (.f64 t (.f64 t 1/8))) (fma.f64 1/48 (pow.f64 t 3) 1))
(fma.f64 1/48 (pow.f64 t 3) (fma.f64 t 1/2 (fma.f64 t (*.f64 t 1/8) 1)))

eval105.0ms (0.7%)

Compiler: Compiled 4475 to 2488 computations (44.4% saved)

prune73.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	189	14	203
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	190	15	205

Error

0.0b

Counts

205 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
	49.6b	(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x 1/2) y) 3) (pow.f64 (+.f64 z z) 3/2))) (exp.f64 (/.f64 (.f64 t t) 2)))
	0.7b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 2))
	37.9b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3))
▶	0.3b	(.f64 (+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z)))) (exp.f64 (/.f64 (*.f64 t t) 2)))
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
▶	1.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3))
	1.6b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
▶	33.7b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))
	1.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 1/2 (*.f64 t t)) 1) (fma.f64 1/2 x (neg.f64 y)))))
	1.3b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 1 t)))
▶	1.6b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
	40.4b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x 1/2 y) (.f64 1/4 (.f64 x x))))
	16.3b	(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))) 3)))
	45.8b	(sqrt.f64 (.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))) (pow.f64 (-.f64 (.f64 x 1/2) y) 2)))

Compiler

Compiled 631 to 462 computations (26.8% saved)

localize52.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 z z) (exp.f64 (.f64 t t)))
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))

Compiler

Compiled 59 to 19 computations (67.8% saved)

series45.0ms (0.3%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	t	@	inf	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
2.0ms	z	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
1.0ms	t	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
1.0ms	z	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))

rewrite240.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`prod-diff_binary64`
685×	`log-prod_binary64`
342×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	294	35
2	3897	35

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (*.f64 (neg.f64 y) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 x 1/2)) (*.f64 (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (fma.f64 y (fma.f64 x 1/2 y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3))) (fma.f64 y (fma.f64 x 1/2 y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (/.f64 0 0) (pow.f64 (exp.f64 t) t)) (pow.f64 (-.f64 (*.f64 x 1/2) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x 1/2) y) 3) (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (exp.f64 t) t)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (exp.f64 t) t)) 3/2) (pow.f64 (-.f64 (*.f64 x 1/2) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (/.f64 0 0)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (fma.f64 t t (log.f64 (/.f64 0 0))) (log.f64 (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (fma.f64 t t (log.f64 (/.f64 0 0))) (log.f64 (-.f64 (*.f64 x 1/2) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (neg.f64 y) (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 x 1/2) (*.f64 (*.f64 (/.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (neg.f64 y)))))))

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

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

620×	`unsub-neg_binary64`
497×	`fma-neg_binary64`
483×	`associate-r_binary64`
467×	`associate-l_binary64`
384×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1875
1	212	1369
2	703	1300
3	3924	1261
4	6921	1261

Stop Event

1×	node limit

Counts

113 → 77

Calls

Call 1

Inputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (.f64 (-.f64 (.f64 1/2 x) y) (-.f64 (.f64 1/6 z) (.f64 1/2 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2))))))) (sqrt.f64 (/.f64 1 z)))))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(*.f64 2 z)
(+.f64 (.f64 2 z) (.f64 2 (*.f64 (pow.f64 t 2) z)))
(+.f64 (.f64 2 z) (+.f64 (.f64 2 (.f64 (pow.f64 t 2) z)) (.f64 (pow.f64 t 4) z)))
(+.f64 (.f64 2 z) (+.f64 (.f64 2 (.f64 (pow.f64 t 2) z)) (+.f64 (.f64 1/3 (.f64 (pow.f64 t 6) z)) (.f64 (pow.f64 t 4) z))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))

Outputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (neg.f64 y) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (*.f64 z (pow.f64 (exp.f64 t) t))) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (-.f64 (.f64 1/2 x) y) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t)))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)))
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(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(*.f64 2 z)
(+.f64 (.f64 2 z) (.f64 2 (*.f64 (pow.f64 t 2) z)))
(.f64 2 (+.f64 z (.f64 z (*.f64 t t))))
(.f64 2 (.f64 (+.f64 (*.f64 t t) 1) z))
(.f64 2 (.f64 z (fma.f64 t t 1)))
(.f64 z (fma.f64 2 (.f64 t t) 2))
(+.f64 (.f64 2 z) (+.f64 (.f64 2 (.f64 (pow.f64 t 2) z)) (.f64 (pow.f64 t 4) z)))
(fma.f64 2 z (fma.f64 2 (.f64 z (.f64 t t)) (*.f64 z (pow.f64 t 4))))
(fma.f64 2 z (.f64 z (+.f64 (.f64 2 (*.f64 t t)) (pow.f64 t 4))))
(.f64 z (+.f64 2 (fma.f64 2 (.f64 t t) (pow.f64 t 4))))
(.f64 z (+.f64 (pow.f64 t 4) (fma.f64 2 (.f64 t t) 2)))
(+.f64 (.f64 2 z) (+.f64 (.f64 2 (.f64 (pow.f64 t 2) z)) (+.f64 (.f64 1/3 (.f64 (pow.f64 t 6) z)) (.f64 (pow.f64 t 4) z))))
(fma.f64 2 z (fma.f64 2 (.f64 z (.f64 t t)) (fma.f64 1/3 (.f64 z (pow.f64 t 6)) (.f64 z (pow.f64 t 4)))))
(fma.f64 2 (.f64 (+.f64 (.f64 t t) 1) z) (.f64 z (+.f64 (pow.f64 t 4) (.f64 (pow.f64 t 6) 1/3))))
(.f64 z (+.f64 (.f64 (fma.f64 t t 1) 2) (fma.f64 (pow.f64 t 6) 1/3 (pow.f64 t 4))))
(.f64 z (+.f64 (fma.f64 (pow.f64 t 6) 1/3 (pow.f64 t 4)) (.f64 2 (fma.f64 t t 1))))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))
(.f64 2 (.f64 z (exp.f64 (pow.f64 t 2))))
(.f64 2 (.f64 z (exp.f64 (*.f64 t t))))
(.f64 2 (.f64 z (pow.f64 (exp.f64 t) t)))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
0.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
0.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
571×	`prod-diff_binary64`
420×	`pow-prod-down_binary64`
313×	`pow2_binary64`
260×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	252	29
2	3085	28

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 2)) (*.f64 (neg.f64 y) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) (*.f64 (sqrt.f64 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 2)) (fma.f64 y (fma.f64 1/2 x y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y)) (sqrt.f64 2)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3))) (fma.f64 y (fma.f64 1/2 x y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (-.f64 (*.f64 1/2 x) y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (-.f64 (*.f64 1/2 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 2)))))))

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

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

990×	`fma-def_binary64`
605×	`fma-neg_binary64`
199×	`cancel-sign-sub-inv_binary64`
189×	`unsub-neg_binary64`
176×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	942
1	43	834
2	112	654
3	263	654
4	476	654
5	844	654
6	1418	654
7	2650	654
8	3167	654
9	3401	654
10	3492	654
11	3508	654
12	3508	654
13	3508	654

Stop Event

1×

saturated

Counts

90 → 54

Calls

Call 1

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

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

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))
	0.0b	(/.f64 (*.f64 t t) 2)
✓	0.2b	(*.f64 (sqrt.f64 z) (neg.f64 y))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))

Compiler

Compiled 56 to 26 computations (53.6% saved)

series20.0ms (0.1%)

Counts

3 → 48

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
2.0ms	y	@	0	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))
1.0ms	t	@	inf	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log-prod_binary64`
495×	`pow-prod-down_binary64`
332×	`pow-unpow_binary64`
322×	`pow2_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	291	34
2	3591	33

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))

Outputs

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

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

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

simplify304.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

830×	`distribute-rgt-neg-in_binary64`
727×	`distribute-lft-neg-in_binary64`
463×	`*-commutative_binary64`
454×	`distribute-lft-out--_binary64`
334×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	904
1	124	894
2	396	844
3	1717	824
4	4032	824
5	7836	824

Stop Event

1×	node limit

Counts

104 → 68

Calls

Call 1

Inputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (+.f64 (.f64 -1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 6))) (sqrt.f64 z))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))

Outputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 y (.f64 t t)) (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) y)) (.f64 t t))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (.f64 y (*.f64 t t))) (neg.f64 y))))
(.f64 (.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z))) (+.f64 -1 (.f64 (*.f64 t t) -1/2)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 y (.f64 (*.f64 t t) -1/2)) y)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 y (.f64 t t)) (sqrt.f64 z))) (fma.f64 -1/8 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4)))) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 t (.f64 t y)))) (.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (.f64 -1/8 (.f64 y (*.f64 (sqrt.f64 2) (pow.f64 t 4)))))))
(.f64 (sqrt.f64 z) (-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (.f64 y (.f64 t t))) (.f64 (.f64 -1/8 y) (pow.f64 t 4)))) (.f64 (sqrt.f64 2) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 y (.f64 t t)) (+.f64 -1/2 (.f64 (*.f64 t t) -1/8))) y)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 y (.f64 t t)) (+.f64 -1/2 (.f64 (*.f64 t t) -1/8))) y)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (+.f64 (.f64 -1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 6))) (sqrt.f64 z))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 y (.f64 t t)) (sqrt.f64 z))) (fma.f64 -1/48 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 6)))) (fma.f64 -1/8 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4)))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))))
(+.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/48 (.f64 (.f64 (sqrt.f64 2) y) (pow.f64 t 6))) (.f64 -1/8 (.f64 y (.f64 (sqrt.f64 2) (pow.f64 t 4)))))) (.f64 (sqrt.f64 z) (+.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) y)) (*.f64 t t)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -1/8 y) (pow.f64 t 4)) (neg.f64 y))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (.f64 y (.f64 t t))) (.f64 (.f64 -1/48 y) (pow.f64 t 6))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (+.f64 -1 (.f64 -1/8 (pow.f64 t 4)))) (.f64 y (+.f64 (.f64 (.f64 t t) -1/2) (.f64 -1/48 (pow.f64 t 6)))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 t 6) (.f64 y -1/48)) (-.f64 (.f64 (.f64 y (.f64 t t)) (+.f64 -1/2 (.f64 (*.f64 t t) -1/8))) y))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 y (pow.f64 (exp.f64 1/2) (.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (neg.f64 y) (sqrt.f64 2)) (pow.f64 (exp.f64 (.f64 t t)) 1/2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 t t) 2)
✓	0.0b	(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))
✓	0.2b	(.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z)))
✓	0.3b	(*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z)))

Compiler

Compiled 90 to 33 computations (63.3% saved)

series43.0ms (0.3%)

Counts

3 → 48

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z)))
3.0ms	z	@	-inf	(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))
1.0ms	z	@	-inf	(*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z)))
1.0ms	z	@	0	(.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z)))
1.0ms	x	@	inf	(.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z)))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
388×	`fma-def_binary64`
333×	`pow-prod-down_binary64`
278×	`pow2_binary64`
260×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	266	25
2	3866	18

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 z z)) (*.f64 z (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z z) z) (*.f64 (+.f64 z z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) 0) (/.f64 (*.f64 z z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z 0) (*.f64 2 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 z 3)) (fma.f64 z z 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (pow.f64 z 3)) 2) (pow.f64 (fma.f64 z z 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 z 3))) (cbrt.f64 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 z 3))) (neg.f64 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 z 3))) (*.f64 0 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 z 3)) 0) (*.f64 (fma.f64 z z 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 z 3)) (+.f64 z z)) (fma.f64 z z 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 z z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z z) (*.f64 2 (pow.f64 z 3))) (fma.f64 z z 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 9/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z z 0) (*.f64 2 (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 z) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 z z) (*.f64 z (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) z (*.f64 (+.f64 z z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) z)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 z z)) (*.f64 z (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z z) z) (*.f64 (+.f64 z z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) 0) (/.f64 (*.f64 z z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z 0) (*.f64 2 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 z 3)) (fma.f64 z z 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (pow.f64 z 3)) 2) (pow.f64 (fma.f64 z z 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 z 3))) (cbrt.f64 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 z 3))) (neg.f64 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 z 3))) (*.f64 0 (fma.f64 z z 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 z 3)) 0) (*.f64 (fma.f64 z z 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 z 3)) (+.f64 z z)) (fma.f64 z z 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 z z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z z) (*.f64 2 (pow.f64 z 3))) (fma.f64 z z 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 9/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z z 0) (*.f64 2 (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 z) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 z z) (*.f64 z (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) z (*.f64 (+.f64 z z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) z)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 z z) (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z))) (/.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (pow.f64 (fma.f64 x 1/2 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (cbrt.f64 (fma.f64 x 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (sqrt.f64 (fma.f64 x 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (fma.f64 x 1/2 y) (+.f64 (+.f64 z z) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3)) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (/.f64 1 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 z z)) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3)) (+.f64 (+.f64 z z) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (cbrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 z z) (+.f64 z z))) (neg.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 z z) (+.f64 z z))) (neg.f64 (+.f64 (+.f64 z z) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3)) (+.f64 (+.f64 z z) (+.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 x) z) (+.f64 1 (expm1.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 z z))) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 z z))) (+.f64 1 (expm1.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 z z))) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 1 (expm1.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 z z))) (+.f64 1 (expm1.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 z z) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 z z) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 z z) (+.f64 z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) y (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (*.f64 x 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) 1 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (*.f64 y y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (pow.f64 y 3) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (*.f64 (*.f64 x x) 1/4) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (pow.f64 (*.f64 x 1/2) 3) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (cbrt.f64 y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (cbrt.f64 (*.f64 x 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (sqrt.f64 y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (sqrt.f64 (*.f64 x 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (fma.f64 x 1/2 y) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (pow.f64 (fma.f64 x 1/2 y) 2) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z z) (*.f64 (fma.f64 x 1/2 y) (+.f64 (+.f64 z z) (+.f64 z z))) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 z z) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x (+.f64 z z)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z z) 1/2) 2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 z z) 1/2) 3) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 1/4) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x 1/2) 3) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 (+.f64 z z) 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 z z) 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (+.f64 z z) 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 z z) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 z z) (*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1 (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (/.f64 1 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) 3))) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/2 y) (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z z) 1/2) x (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z z) x) 1/2 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z z) x) (*.f64 (+.f64 z z) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 z z)) (fma.f64 x 1/2 y) (+.f64 (+.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z z) -1) y (+.f64 z z))))))

simplify215.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
587×	`fma-neg_binary64`
190×	`cancel-sign-sub-inv_binary64`
181×	`unsub-neg_binary64`
178×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	891
1	33	837
2	93	747
3	235	711
4	409	711
5	747	711
6	1186	711
7	2362	711
8	2890	711
9	3145	711
10	3239	711
11	3255	711
12	3255	711
13	3255	711

Stop Event

1×

saturated

Counts

301 → 185

Calls

Call 1

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

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

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 z z) (exp.f64 (.f64 t t)))
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3))
✓	0.6b	(cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
✓	0.7b	(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3)

Compiler

Compiled 85 to 25 computations (70.6% saved)

series185.0ms (1.3%)

Counts

3 → 84

Calls

24 calls:

Time	Variable		Point	Expression
103.0ms	z	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3)
47.0ms	t	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3)
9.0ms	z	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3)
8.0ms	x	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3))
4.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`prod-diff_binary64`
756×	`log-prod_binary64`
354×	`fma-def_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	361	52
2	4373	52

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 z z) (exp.f64 (*.f64 t t))))) 3)

(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 z z) (exp.f64 (*.f64 t t)))))

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

Outputs

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simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-def_binary64`
512×	`*-commutative_binary64`
398×	`unswap-sqr_binary64`
311×	`distribute-rgt-in_binary64`
309×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2784
1	529	2171
2	1867	2073
3	6021	2036

Stop Event

1×	node limit

Counts

169 → 129

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 -2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 -2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 -2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 -2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 3)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
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(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))) (+.f64 (.f64 (+.f64 (.f64 1/72 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))) (.f64 1/9 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))) (pow.f64 t 4)) (.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))) (.f64 1/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))) (pow.f64 t 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))) (+.f64 (.f64 (pow.f64 t 6) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (+.f64 (.f64 1/648 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 1 z)) 1/3)) (.f64 1/216 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 1 z)) 1/3))) (pow.f64 z 1/6)))) (+.f64 (.f64 1/1296 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))) (+.f64 (.f64 1/216 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))) (.f64 1/108 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))))))) (+.f64 (.f64 (+.f64 (.f64 1/72 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))) (.f64 1/9 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))) (pow.f64 t 4)) (.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))) (.f64 1/3 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))))) (pow.f64 t 2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t 2))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) (pow.f64 (*.f64 (sqrt.f64 2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) (pow.f64 (*.f64 (sqrt.f64 2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) (pow.f64 (*.f64 (sqrt.f64 2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) (pow.f64 (*.f64 (sqrt.f64 2) 1) 1/3))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))))
(.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (pow.f64 t 2) (pow.f64 z 1/6))))) (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (pow.f64 t 2) (pow.f64 z 1/6))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6))) (.f64 1/72 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (pow.f64 t 4) (pow.f64 z 1/6)))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (pow.f64 t 2) (pow.f64 z 1/6))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6))) (+.f64 (.f64 1/1296 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (pow.f64 t 6) (pow.f64 z 1/6))))) (.f64 1/72 (.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (.f64 (pow.f64 t 4) (pow.f64 z 1/6))))))))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 (*.f64 z (exp.f64 (pow.f64 t 2))) 1/6)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (.f64 (-.f64 (.f64 1/2 x) y) (-.f64 (.f64 1/6 z) (.f64 1/2 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2))))))) (sqrt.f64 (/.f64 1 z)))))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))

Outputs
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 z) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (pow.f64 t 2)))) 3)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 z) (*.f64 t t))) 3) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 t t (log.f64 z))) 3))
(.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 z (exp.f64 (*.f64 t t))) 1/6) 3))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 -2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (pow.f64 t 2) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 3)))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (.f64 t t) (neg.f64 (log.f64 (/.f64 -1 z))))) 3) (sqrt.f64 -2))
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(.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t (.f64 t (fma.f64 1/2 x (neg.f64 y))))))))
(.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 t t))) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 z 1/2) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 (/.f64 1 z)))) (fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) (.f64 t t)) (-.f64 (.f64 1/2 x) y))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))))
(fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 z 1/2) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 2))) (.f64 (.f64 (pow.f64 t 4) (fma.f64 1/2 x (neg.f64 y))) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t (.f64 t (fma.f64 1/2 x (neg.f64 y)))))))))
(fma.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (fma.f64 z 1/2 (.f64 z -1/4)) (.f64 (.f64 (pow.f64 t 4) (fma.f64 1/2 x (neg.f64 y))) (sqrt.f64 (/.f64 1 z))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (.f64 z 1/4) (.f64 (.f64 (pow.f64 t 4) (fma.f64 1/2 x (neg.f64 y))) (sqrt.f64 (/.f64 1 z))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (.f64 (-.f64 (.f64 1/2 x) y) (-.f64 (.f64 1/6 z) (.f64 1/2 (-.f64 (.f64 1/2 z) (pow.f64 (.f64 1/2 (sqrt.f64 z)) 2))))))) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 z 1/2) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 2)) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 (/.f64 1 z)))) (fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) (.f64 t t)) (-.f64 (.f64 1/2 x) y))) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (.f64 (-.f64 (.f64 1/2 x) y) (+.f64 (.f64 1/6 z) (.f64 -1/2 (-.f64 (.f64 z 1/2) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 2))))))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 z 1/2) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 2))) (.f64 (.f64 (pow.f64 t 4) (fma.f64 1/2 x (neg.f64 y))) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t (.f64 t (fma.f64 1/2 x (neg.f64 y))))))))) (.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (.f64 (pow.f64 t 6) (fma.f64 1/2 x (neg.f64 y))) (.f64 (fma.f64 1/6 z (.f64 (-.f64 (.f64 z 1/2) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 2)) -1/2)) (sqrt.f64 (/.f64 1 z))))))
(fma.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/6 z (.f64 (fma.f64 z 1/2 (.f64 z -1/4)) -1/2)) (.f64 (pow.f64 t 6) (fma.f64 1/2 x (neg.f64 y))))) (.f64 (pow.f64 t 4) (.f64 (fma.f64 1/2 x (neg.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 z 1/2 (*.f64 z -1/4))))))))
(fma.f64 (sqrt.f64 z) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 t t))) (sqrt.f64 2))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (.f64 (fma.f64 1/2 x (neg.f64 y)) (+.f64 (.f64 (fma.f64 1/6 z (.f64 1/2 (.f64 z -1/4))) (.f64 (sqrt.f64 2) (pow.f64 t 6))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (.f64 z 1/4)))))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 2) (fma.f64 1/2 x (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 1/2 x (neg.f64 y))))

eval275.0ms (2%)

Compiler: Compiled 13455 to 7313 computations (45.6% saved)

prune143.0ms (1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	604	17	621
Fresh	8	1	9
Picked	1	0	1
Done	2	3	5
Total	615	21	636

Error

0.0b

Counts

636 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
▶	1.6b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
	40.4b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x 1/2 y) (.f64 1/4 (.f64 x x))))
▶	54.4b	(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (.f64 y y)))) (exp.f64 (/.f64 (*.f64 t t) 2)))
	46.1b	(sqrt.f64 (.f64 z (.f64 2 (pow.f64 (-.f64 (*.f64 1/2 x) y) 2))))
	29.7b	(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 2) (sqrt.f64 z))
	30.9b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
	30.3b	(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
	29.7b	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))) 2)
	2.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 3) (sqrt.f64 z))
	33.6b	(.f64 (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (exp.f64 (/.f64 (.f64 t t) 2)))
	2.4b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))) 3)
	2.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))
✓	0.3b	(.f64 (+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z)))) (exp.f64 (/.f64 (*.f64 t t) 2)))
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
▶	1.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
	1.6b	(.f64 (sqrt.f64 2) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z)))
▶	38.2b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3))
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
	34.0b	(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (sqrt.f64 z))
	36.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 3)) (sqrt.f64 z))

Compiler

Compiled 693 to 546 computations (21.2% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
1.0ms	z	@	inf	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
1.0ms	z	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
1.0ms	x	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`prod-diff_binary64`
543×	`log-prod_binary64`
355×	`pow-prod-down_binary64`
290×	`pow2_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	232	15
2	2861	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 x 1/2)) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (sqrt.f64 (+.f64 z z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (sqrt.f64 (+.f64 z z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 (+.f64 z z))) (fma.f64 y (fma.f64 x 1/2 y) (pow.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 y y)) (sqrt.f64 (+.f64 z z))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3))) (fma.f64 y (fma.f64 x 1/2 y) (pow.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 y y))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 x 1/2) y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 x 1/2) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x 1/2) y)) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (sqrt.f64 (+.f64 z z)) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z z)) (*.f64 x 1/2) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))))

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
587×	`fma-neg_binary64`
190×	`cancel-sign-sub-inv_binary64`
181×	`unsub-neg_binary64`
178×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	567
1	33	513
2	93	423
3	235	387
4	409	387
5	747	387
6	1186	387
7	2362	387
8	2890	387
9	3145	387
10	3239	387
11	3255	387
12	3255	387
13	3255	387

Stop Event

1×

saturated

Counts

49 → 31

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sqrt.f64 z) (neg.f64 y))
	0.4b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))

Compiler

Compiled 26 to 13 computations (50% saved)

localize49.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
✓	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 z))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite149.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
571×	`prod-diff_binary64`
426×	`pow-prod-down_binary64`
313×	`pow2_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	254	21
2	3112	21

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 z) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 z) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 z))) 1))))))

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
587×	`fma-neg_binary64`
190×	`cancel-sign-sub-inv_binary64`
181×	`unsub-neg_binary64`
178×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	567
1	33	513
2	93	423
3	235	387
4	409	387
5	747	387
6	1186	387
7	2362	387
8	2890	387
9	3145	387
10	3239	387
11	3255	387
12	3255	387
13	3255	387

Stop Event

1×

saturated

Counts

66 → 48

Calls

Call 1

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

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

localize76.0ms (0.5%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

(pow.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3)

✓

0.3b

(*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))

✓

36.2b

(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3))

Compiler

Compiled 64 to 47 computations (26.6% saved)

series24.0ms (0.2%)

Counts

3 → 72

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(pow.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3)
2.0ms	z	@	0	(.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3))
1.0ms	z	@	inf	(pow.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3)
1.0ms	x	@	0	(pow.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3)

rewrite126.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
571×	`prod-diff_binary64`
335×	`pow2_binary64`
265×	`pow-unpow_binary64`
264×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	309	48
2	3524	48

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3))

(*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))

(pow.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 1/2 x)) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (+.f64 z z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (+.f64 z z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 1/2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))) (cbrt.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 1/2 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 1/2 x) y) 2))) (cbrt.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z z)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) y)) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))) (sqrt.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) y)) (*.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/4) (*.f64 (pow.f64 (+.f64 z z) 1/4) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (cbrt.f64 (+.f64 z z))) (cbrt.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (pow.f64 (+.f64 z z) 1/4)) (pow.f64 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simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-neg_binary64`
442×	`*-commutative_binary64`
341×	`associate-+l-_binary64`
331×	`distribute-rgt-neg-in_binary64`
294×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	2618
1	364	2474
2	1400	2120
3	3513	2002
4	7499	2002

Stop Event

1×	node limit

Counts

169 → 112

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 t t) 2)
✓	0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
✓	6.0b	(.f64 z (.f64 y y))
✓	26.0b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 63 to 26 computations (58.7% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 z (.f64 y y))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
1.0ms	z	@	0	(sqrt.f64 (.f64 z (.f64 y y)))
1.0ms	z	@	0	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
1.0ms	z	@	-inf	(sqrt.f64 (.f64 z (.f64 y y)))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
710×	`add-log-exp_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	182	24
2	2068	24

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(sqrt.f64 (.f64 z (.f64 y y)))
(.f64 z (.f64 y y))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))

Outputs

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

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

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1421×	`fma-def_binary64`
513×	`fma-neg_binary64`
499×	`distribute-rgt-neg-in_binary64`
399×	`distribute-lft-neg-in_binary64`
322×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	388
1	32	388
2	77	388
3	173	388
4	406	388
5	1220	388
6	1863	388
7	3022	388
8	3719	388
9	4091	388
10	4424	388
11	4970	388
12	6061	388
13	7726	388

Stop Event

1×	node limit

Counts

100 → 60

Calls

Call 1

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

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

eval205.0ms (1.5%)

Compiler: Compiled 6515 to 4260 computations (34.6% saved)

prune91.0ms (0.6%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	314	16	330
Fresh	8	5	13
Picked	1	0	1
Done	2	5	7
Total	325	26	351

Error

Counts

351 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(sqrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x 1/2) y) 2) (*.f64 2 z)))
	61.6b	(+.f64 0 (.f64 y (sqrt.f64 (.f64 2 z))))
	49.9b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 x) y) 3) (pow.f64 (+.f64 z z) 3/2)))
✓	34.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
✓	1.6b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
	17.2b	(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (*.f64 2 z) 3/2)))
	54.5b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
	30.9b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
	1.6b	(.f64 (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 2)) (sqrt.f64 z))
	30.3b	(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
	1.7b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/4) 2))
▶	34.0b	(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
	38.2b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 3))
	54.4b	(sqrt.f64 (.f64 2 (.f64 z (*.f64 y y))))
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
	1.6b	(.f64 (pow.f64 (+.f64 z z) 1/4) (.f64 (pow.f64 (+.f64 z z) 1/4) (-.f64 (*.f64 1/2 x) y)))
▶	2.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))
▶	6.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3))
▶	1.3b	(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))
	1.9b	(.f64 (cbrt.f64 (+.f64 z z)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 1/2 x) y)))
▶	30.9b	(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (sqrt.f64 z) x)))
	29.7b	(.f64 (.f64 (sqrt.f64 (+.f64 z z)) (sqrt.f64 (-.f64 (.f64 1/2 x) y))) (sqrt.f64 (-.f64 (.f64 1/2 x) y)))
	33.6b	(.f64 (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (exp.f64 (/.f64 (.f64 t t) 2)))
	34.0b	(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (sqrt.f64 z))
✓	1.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))

Compiler

Compiled 757 to 582 computations (23.1% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))
	0.2b	(.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z)))
	0.3b	(*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z)))

Compiler

Compiled 51 to 18 computations (64.7% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 y (sqrt.f64 (.f64 2 z)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
566×	`add-log-exp_binary64`
566×	`log1p-expm1-u_binary64`
566×	`expm1-log1p-u_binary64`
553×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1580	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 y (sqrt.f64 (.f64 2 z)))

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	132
1	12	132
2	19	132
3	21	132

Stop Event

1×

saturated

Counts

23 → 13

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))

Outputs
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 2) (sqrt.f64 z)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 z) x)
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (sqrt.f64 z) x)))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

12 calls:

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

rewrite179.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
808×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	202	20
2	2248	20

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-l_binary64`
17×	`associate-r_binary64`
16×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	168
1	17	168
2	38	168
3	77	168
4	80	168

Stop Event

1×

saturated

Counts

38 → 28

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 1/2 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 1/2 (sqrt.f64 z))))

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3))
✓	0.7b	(pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3)
✓	4.1b	(pow.f64 (*.f64 2 z) 1/6)

Compiler

Compiled 47 to 35 computations (25.5% saved)

series71.0ms (0.5%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	z	@	-inf	(pow.f64 (*.f64 2 z) 1/6)
24.0ms	z	@	0	(pow.f64 (*.f64 2 z) 1/6)
14.0ms	z	@	inf	(pow.f64 (*.f64 2 z) 1/6)
1.0ms	z	@	0	(pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3)
1.0ms	z	@	inf	(pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3)

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
571×	`prod-diff_binary64`
361×	`pow2_binary64`
263×	`fma-def_binary64`
247×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	310	28
2	3636	28

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(pow.f64 (*.f64 2 z) 1/6)
(pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3)
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z z) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 z z))) (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/12) (pow.f64 (+.f64 z z) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z z)) 2) 1/6) (pow.f64 (cbrt.f64 (+.f64 z z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 z z)) 1/6) (pow.f64 (sqrt.f64 (+.f64 z z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z z) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z z) 1/6)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/6) (cbrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z z)) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 z z))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)) (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/12) (*.f64 (pow.f64 (+.f64 z z) 1/12) (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/4) (pow.f64 (+.f64 z z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z z)) 2)) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z z)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 z z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 2 1/6) 3) (pow.f64 (pow.f64 z 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) 1) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) (cbrt.f64 (cbrt.f64 (+.f64 z z)))) (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) (pow.f64 (+.f64 z z) 1/12)) (pow.f64 (+.f64 z z) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) (pow.f64 2 1/6)) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 z z))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 x 1/2)) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 y 3))) (sqrt.f64 (+.f64 z z))) (fma.f64 y (fma.f64 x 1/2 y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y)) (sqrt.f64 (+.f64 z z))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 y 3)))) (fma.f64 y (fma.f64 x 1/2 y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z z)) 3) (pow.f64 (-.f64 (*.f64 x 1/2) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x 1/2) y) 3) (pow.f64 (sqrt.f64 (+.f64 z z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 x 1/2) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z z)) 3) (pow.f64 (-.f64 (*.f64 x 1/2) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x 1/2) y) 3) (pow.f64 (sqrt.f64 (+.f64 z z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z z)) (*.f64 x 1/2) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (sqrt.f64 (+.f64 z z)) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))))

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-neg_binary64`
582×	`fma-def_binary64`
395×	`exp-sum_binary64`
303×	`exp-diff_binary64`
229×	`associate-+l+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	41	915
1	114	861
2	278	699
3	725	591
4	2123	555
5	5972	543

Stop Event

1×	node limit

Counts

130 → 96

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2))))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z)))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z)))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z)))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 -2)))) 3)
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))

Outputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 2) (log.f64 z))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
(*.f64 (pow.f64 2 1/6) (pow.f64 z 1/6))
(pow.f64 (*.f64 2 z) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 2))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 2) (log.f64 z)))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 (.f64 1/2 (sqrt.f64 2)) x)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 x (neg.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (neg.f64 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 (.f64 1/2 (sqrt.f64 2)) x)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 x (neg.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))

localize41.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))
✓	0.6b	(cbrt.f64 (sqrt.f64 (*.f64 2 z)))
✓	0.7b	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3)

Compiler

Compiled 50 to 37 computations (26% saved)

series31.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3)
10.0ms	z	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3)
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3)
1.0ms	z	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
571×	`prod-diff_binary64`
327×	`pow2_binary64`
264×	`fma-def_binary64`
236×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	299	28
2	3335	28

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/6) (cbrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z z)) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 z z))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)) (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/4) (pow.f64 (+.f64 z z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z z) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z z) 1/6)) (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z z)) 2)) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) 1) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) (cbrt.f64 (cbrt.f64 (+.f64 z z)))) (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 z z)) (sqrt.f64 (pow.f64 (+.f64 z z) 1/6))) (sqrt.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 z z))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z z) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z z) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 z z))) (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 z z) 1/6)) (sqrt.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (+.f64 z z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z z) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z z) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 z z) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 z z) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z z) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 z z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 z z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z z) 1/6)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 x 1/2)) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 (+.f64 z z))) (fma.f64 y (fma.f64 x 1/2 y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y)) (sqrt.f64 (+.f64 z z))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3))) (fma.f64 y (fma.f64 x 1/2 y) (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 y y))) (fma.f64 x 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 x 1/2) y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z z) 3/2) (pow.f64 (-.f64 (*.f64 x 1/2) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x 1/2) y) 3) (pow.f64 (+.f64 z z) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 z z) (pow.f64 (-.f64 (*.f64 x 1/2) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z z) 3/2) (pow.f64 (-.f64 (*.f64 x 1/2) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x 1/2) y) 3) (pow.f64 (+.f64 z z) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 (*.f64 x 1/2) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z z)) (*.f64 x 1/2) (*.f64 (sqrt.f64 (+.f64 z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (sqrt.f64 (+.f64 z z)) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))))))

simplify238.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1001×	`fma-def_binary64`
697×	`fma-neg_binary64`
664×	`sqr-pow_binary64`
504×	`unswap-sqr_binary64`
360×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	859
1	97	769
2	236	679
3	592	643
4	1574	643
5	2974	643
6	3484	643
7	4157	643
8	4888	643
9	5412	643
10	5786	643
11	6149	643
12	6520	643
13	6941	643
14	7501	643

Stop Event

1×	node limit

Counts

130 → 95

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))

Outputs
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 1 (sqrt.f64 z)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 1 (sqrt.f64 z)) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 z) (sqrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 1 (sqrt.f64 z)) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 z) (sqrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 1 (sqrt.f64 z)) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 z) (sqrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 1 (sqrt.f64 z)) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 -1) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 z) (sqrt.f64 -1)))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (sqrt.f64 2) 1/3) (.f64 (sqrt.f64 1) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 z 1/6))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -2)) 1/3))
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -2)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 2) y)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 2) y)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 2) y)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 y (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (sqrt.f64 2) x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 x) (neg.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 2) (fma.f64 x -1/2 y)))

eval125.0ms (0.9%)

Compiler: Compiled 6035 to 2934 computations (51.4% saved)

prune255.0ms (1.8%)

Pruning

49 alts after pruning (39 fresh and 10 done)

	Pruned	Kept	Total
New	390	27	417
Fresh	4	12	16
Picked	0	1	1
Done	0	9	9
Total	394	49	443

Error

Counts

443 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	61.6b	(/.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
	61.5b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2/3)
	61.6b	(+.f64 0 (.f64 y (sqrt.f64 (.f64 2 z))))
	61.6b	(*.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))
	62.7b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -2)
✓	34.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
	61.5b	(hypot.f64 (+.f64 z z) (+.f64 z z))
✓	1.6b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
	53.6b	(sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4)))
	57.7b	(neg.f64 (sqrt.f64 (.f64 (.f64 2 z) (*.f64 y y))))
	29.7b	(.f64 (.f64 (sqrt.f64 (+.f64 z z)) (sqrt.f64 (-.f64 (.f64 1/2 x) y))) (sqrt.f64 (-.f64 (.f64 1/2 x) y)))
	51.7b	(neg.f64 (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) 2))
	61.5b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/6)
	54.5b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
	61.6b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/9)
	30.9b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
	1.6b	(.f64 (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 2)) (sqrt.f64 z))
	5.6b	(.f64 (-.f64 (.f64 x 1/2) y) (exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2)))
	30.3b	(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
	61.5b	(sqrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
	33.6b	(.f64 (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (exp.f64 (/.f64 (.f64 t t) 2)))
	61.5b	(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)
✓	0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
	61.8b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3)
	62.1b	(fma.f64 (+.f64 z z) y (+.f64 z z))
	1.7b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/4) 2))
✓	34.0b	(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
	61.6b	(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
	1.6b	(.f64 (pow.f64 (+.f64 z z) 1/4) (.f64 (pow.f64 (+.f64 z z) 1/4) (-.f64 (*.f64 1/2 x) y)))
	17.2b	(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (+.f64 z z) 3/2)))
	54.4b	(sqrt.f64 (.f64 2 (.f64 z (*.f64 y y))))
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
✓	2.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))
✓	6.3b	(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3))
✓	1.3b	(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))
	62.1b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 9)
	34.0b	(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (sqrt.f64 z))
	42.9b	(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (pow.f64 (+.f64 z z) 3/2))
	62.0b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 4)
	61.5b	(-.f64 (+.f64 z z) (+.f64 z z))
	62.1b	(/.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))
	61.4b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3/2)
✓	1.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
	61.5b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/3)
	1.9b	(.f64 (cbrt.f64 (+.f64 z z)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 1/2 x) y)))
✓	30.9b	(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (sqrt.f64 z) x)))
	61.7b	(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1/3)
	61.5b	(cbrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
	60.8b	(*.f64 (fma.f64 x 1/2 y) (+.f64 z z))

Compiler

Compiled 723 to 496 computations (31.4% saved)

regimes1.1s (8.1%)

Counts

76 → 1

Calls

Call 1

Inputs
(-.f64 (+.f64 z z) (+.f64 z z))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)
(/.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))
(/.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(hypot.f64 (+.f64 z z) (+.f64 z z))
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(fma.f64 (+.f64 z z) y (+.f64 z z))
(cbrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (fma.f64 x 1/2 y) (+.f64 z z))
(+.f64 0 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (.f64 2 (.f64 z (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -2)
(neg.f64 (sqrt.f64 (.f64 (.f64 2 z) (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/6)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 4)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3/2)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1/3)
(sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4)))
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (sqrt.f64 z) x)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
(.f64 (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 2)) (sqrt.f64 z))
(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (+.f64 z z) 3/2)))
(sqrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x 1/2) y) 2) (*.f64 2 z)))
(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (*.f64 2 z) 3/2)))
(sqrt.f64 (.f64 z (.f64 2 (pow.f64 (-.f64 (*.f64 1/2 x) y) 2))))
(.f64 (-.f64 (.f64 x 1/2) y) (exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2)))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/4) 2))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3))
(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (pow.f64 (+.f64 z z) 3/2))
(.f64 (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (exp.f64 (/.f64 (.f64 t t) 2)))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 1 t)))
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (*.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z))))
(.f64 (pow.f64 (+.f64 z z) 1/4) (.f64 (pow.f64 (+.f64 z z) 1/4) (-.f64 (*.f64 1/2 x) y)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) 2))
(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 3))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 z))) 3))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 x) y) 3) (pow.f64 (+.f64 z z) 3/2)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 2) (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2))) 3)
(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 1/2 x) y) (pow.f64 (*.f64 2 z) 1/2)) 3))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) 2)))
(.f64 (cbrt.f64 (+.f64 z z)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 z z))) (-.f64 (*.f64 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (.f64 y y)))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(sqrt.f64 (.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))) (pow.f64 (-.f64 (.f64 x 1/2) y) 2)))
(.f64 (.f64 (sqrt.f64 (+.f64 z z)) (sqrt.f64 (-.f64 (.f64 1/2 x) y))) (sqrt.f64 (-.f64 (.f64 1/2 x) y)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 1/2 (*.f64 t t)) 1) (fma.f64 1/2 x (neg.f64 y)))))
(.f64 (+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (.f64 (neg.f64 y) (sqrt.f64 (+.f64 z z)))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 2) (sqrt.f64 z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))) 3) (sqrt.f64 z))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 3)) (sqrt.f64 z))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 2))
(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) 3))
(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))) 3)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x 1/2) y) 3) (pow.f64 (+.f64 z z) 3/2))) (exp.f64 (/.f64 (.f64 t t) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 y 3)) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x 1/2 y) (.f64 1/4 (.f64 x x))))

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

Calls

17 calls:

262.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
135.0ms	y
97.0ms	(sqrt.f64 (*.f64 z 2))
83.0ms	(sqrt.f64 (*.f64 z 2))
76.0ms	t

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`t`
0.3b	1	`(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))`
0.3b	1	`(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))`
0.3b	1	`(-.f64 (*.f64 x 1/2) y)`
0.3b	1	`(*.f64 x 1/2)`
0.3b	1	`(sqrt.f64 (*.f64 z 2))`
0.3b	1	`(sqrt.f64 (*.f64 z 2))`
0.3b	1	`(*.f64 z 2)`
0.3b	1	`(*.f64 z 2)`
0.3b	1	`(exp.f64 (/.f64 (*.f64 t t) 2))`
0.3b	1	`(exp.f64 (/.f64 (*.f64 t t) 2))`
0.3b	1	`(/.f64 (*.f64 t t) 2)`
0.3b	1	`(/.f64 (*.f64 t t) 2)`
0.3b	1	`(*.f64 t t)`

Compiler

Compiled 1101 to 603 computations (45.2% saved)

regimes285.0ms (2%)

Counts

47 → 1

Calls

Call 1

Inputs
(-.f64 (+.f64 z z) (+.f64 z z))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)
(/.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))
(/.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(hypot.f64 (+.f64 z z) (+.f64 z z))
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(fma.f64 (+.f64 z z) y (+.f64 z z))
(cbrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (fma.f64 x 1/2 y) (+.f64 z z))
(+.f64 0 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (.f64 2 (.f64 z (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -2)
(neg.f64 (sqrt.f64 (.f64 (.f64 2 z) (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/6)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 4)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3/2)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1/3)
(sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4)))
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 z (*.f64 y y))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (sqrt.f64 z) x)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
(.f64 (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 2)) (sqrt.f64 z))
(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (+.f64 z z) 3/2)))
(sqrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x 1/2) y) 2) (*.f64 2 z)))
(.f64 (-.f64 (.f64 x 1/2) y) (cbrt.f64 (pow.f64 (*.f64 2 z) 3/2)))
(sqrt.f64 (.f64 z (.f64 2 (pow.f64 (-.f64 (*.f64 1/2 x) y) 2))))
(.f64 (-.f64 (.f64 x 1/2) y) (exp.f64 (*.f64 (log.f64 (+.f64 z z)) 1/2)))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/4) 2))
(.f64 (-.f64 (.f64 x 1/2) y) (pow.f64 (pow.f64 (*.f64 2 z) 1/6) 3))
(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 (+.f64 z z))) (pow.f64 (+.f64 z z) 3/2))
(.f64 (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (exp.f64 (/.f64 (.f64 t t) 2)))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 1 t)))

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

Calls

11 calls:

43.0ms	t
29.0ms	(sqrt.f64 (*.f64 z 2))
29.0ms	x
28.0ms	y
28.0ms	z

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`z`
1.3b	1	`t`
1.3b	1	`(-.f64 (*.f64 x 1/2) y)`
1.3b	1	`(*.f64 x 1/2)`
1.3b	1	`(sqrt.f64 (*.f64 z 2))`
1.3b	1	`(*.f64 z 2)`
1.3b	1	`(exp.f64 (/.f64 (*.f64 t t) 2))`
1.3b	1	`(/.f64 (*.f64 t t) 2)`
1.3b	1	`(*.f64 t t)`

Compiler

Compiled 555 to 288 computations (48.1% saved)

regimes155.0ms (1.1%)

Counts

26 → 3

Calls

Call 1

Inputs
(-.f64 (+.f64 z z) (+.f64 z z))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)
(/.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))
(/.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(hypot.f64 (+.f64 z z) (+.f64 z z))
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(fma.f64 (+.f64 z z) y (+.f64 z z))
(cbrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (fma.f64 x 1/2 y) (+.f64 z z))
(+.f64 0 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (.f64 2 (.f64 z (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -2)
(neg.f64 (sqrt.f64 (.f64 (.f64 2 z) (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/6)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 4)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3/2)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1/3)
(sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4)))

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

Calls

4 calls:

54.0ms	y
39.0ms	z
38.0ms	x
16.0ms	t

Results

Error	Segments	Branch
29.4b	3	`x`
30.6b	3	`y`
32.4b	3	`z`
34.0b	1	`t`

Compiler

Compiled 261 to 85 computations (67.4% saved)

bsearch58.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.2410453932093866e+105	1.6828411831056966e+117
30.0ms	4.50110356418558e-79	2.536781520088614e-76

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes69.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

Inputs
(-.f64 (+.f64 z z) (+.f64 z z))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)
(/.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))
(/.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(hypot.f64 (+.f64 z z) (+.f64 z z))
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(fma.f64 (+.f64 z z) y (+.f64 z z))
(cbrt.f64 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (fma.f64 x 1/2 y) (+.f64 z z))
(+.f64 0 (.f64 y (sqrt.f64 (.f64 2 z))))
(sqrt.f64 (.f64 2 (.f64 z (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 2/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -2)
(neg.f64 (sqrt.f64 (.f64 (.f64 2 z) (*.f64 y y))))
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/6)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 9)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 4)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 3/2)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1/3)
(pow.f64 (+.f64 (+.f64 z z) (+.f64 z z)) -1/3)

Outputs
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))

Calls

4 calls:

17.0ms	x
15.0ms	z
15.0ms	t
14.0ms	y

Results

Error	Segments	Branch
34.0b	1	`x`
34.0b	1	`y`
34.0b	1	`z`
34.0b	1	`t`

Compiler

Compiled 251 to 78 computations (68.9% saved)

regimes51.0ms (0.4%)

Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 (+.f64 z z) (+.f64 z z))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) 1)
(/.f64 1 (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 z z) (+.f64 (+.f64 z z) (+.f64 z z)))
(/.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(*.f64 (+.f64 (+.f64 z z) (+.f64 z z)) (+.f64 (+.f64 z z) (+.f64 z z)))
(hypot.f64 (+.f64 z z) (+.f64 z z))

Outputs
(-.f64 (+.f64 z z) (+.f64 z z))

Calls

4 calls:

11.0ms	t
11.0ms	z
11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
61.5b	1	`x`
61.5b	1	`y`
61.5b	1	`z`
61.5b	1	`t`

Compiler

Compiled 97 to 31 computations (68% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	108
1	54	108
2	69	108
3	79	108
4	84	108
5	85	108

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
(if (<=.f64 x 938896373089629/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (if (<=.f64 x 1241045393209386640358940968908056365506342258668953719557253938406136014609251991340360481907876074356736) (sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4))) (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))))
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
(-.f64 (+.f64 z z) (+.f64 z z))

Outputs
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 (+.f64 z z) (exp.f64 (.f64 t t)))))
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 2 z)))
(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
(if (<=.f64 x 938896373089629/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z)))) (if (<=.f64 x 1241045393209386640358940968908056365506342258668953719557253938406136014609251991340360481907876074356736) (sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4))) (neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))))
(if (<=.f64 x 938896373089629/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 y (neg.f64 (sqrt.f64 (.f64 z 2)))) (if (<=.f64 x 1241045393209386640358940968908056365506342258668953719557253938406136014609251991340360481907876074356736) (sqrt.f64 (.f64 2 (.f64 (.f64 z (.f64 x x)) 1/4))) (.f64 y (neg.f64 (sqrt.f64 (.f64 z 2))))))
(neg.f64 (.f64 y (sqrt.f64 (.f64 2 z))))
(.f64 y (neg.f64 (sqrt.f64 (.f64 z 2))))
(-.f64 (+.f64 z z) (+.f64 z z))

Compiler

Compiled 91 to 66 computations (27.5% saved)

soundness133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary64`
345×	`distribute-lft-neg-out_binary64`
320×	`distribute-rgt-neg-in_binary64`
316×	`associate-l_binary64`
313×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	52	25
3	116	25
4	289	25
5	639	25
6	1796	25
7	3740	25
8	5979	25

Stop Event

1×	node limit

Compiler

Compiled 104 to 79 computations (24% saved)

end50.0ms (0.4%)

Compiler: Compiled 75 to 49 computations (34.7% saved)