Details

analyze221.0ms (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
8.3%	6.2%	68.6%	0.1%	0%	25%	0%	7
12.5%	9.4%	65.5%	0.1%	0%	25%	0%	8
18.8%	14%	60.8%	0.1%	0%	25%	0%	9
33.8%	21.1%	41.3%	0.1%	0%	37.4%	0%	10
39.4%	24.6%	37.8%	0.1%	0%	37.4%	0%	11
45.9%	28.7%	33.7%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample2.1s (33.2%)

Results

1.7s	8256×	body	256	valid
307.0ms	2226×	body	256	invalid
75.0ms	537×	body	256	infinite

Bogosity

preprocess26.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

40×	`fma-def_binary64`
18×	`*-commutative_binary64`
12×	`associate-r_binary64`
12×	`associate-l_binary64`
8×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	48
1	59	40
2	113	40
3	149	40
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`
2×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	23	10
2	38	10
3	48	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 13 computations (35% saved)

prune1.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
▶	0.1b	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (sqrt.f64 z) x)

Compiler

Compiled 21 to 8 computations (61.9% saved)

series6.0ms (0.1%)

Counts

1 → 25

Calls

9 calls:

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

rewrite107.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`pow1_binary64`
519×	`add-sqr-sqrt_binary64`
499×	`add-log-exp_binary64`
499×	`log1p-expm1-u_binary64`
499×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	118	7
2	1372	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	148
1	10	148
2	11	148

Stop Event

1×

saturated

Counts

46 → 24

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	0.2b	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series10.0ms (0.2%)

Counts

2 → 25

Calls

15 calls:

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

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	13
2	1996	13

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	148
1	10	148
2	11	148

Stop Event

1×

saturated

Counts

71 → 49

Calls

Call 1

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

Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x

eval25.0ms (0.4%)

Compiler: Compiled 1029 to 452 computations (56.1% saved)

prune67.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	63	10	73
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	64	11	75

Error

0.0b

Counts

75 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (*.f64 y y))))))
▶	25.9b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 z (*.f64 y y)))))
	32.4b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
	1.4b	(.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	40.7b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y (sqrt.f64 z)) (-.f64 (.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))))
	28.2b	(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) 2)))
	33.1b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
▶	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
▶	30.4b	(*.f64 1/2 x)
▶	18.7b	(.f64 (/.f64 1 2) (fma.f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (.f64 y (sqrt.f64 z))) x))

Compiler

Compiled 368 to 249 computations (32.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y (sqrt.f64 z)) x)
	0.2b	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 7

Calls

9 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	1992	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	7	22

Stop Event

1×

saturated

Counts

42 → 37

Calls

Call 1

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

Outputs
x
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
x
(*.f64 y (sqrt.f64 z))
x
x

localize4.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.7b	(.f64 z (.f64 y y))
✓	19.7b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	121	13
2	1448	13

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(sqrt.f64 (.f64 z (.f64 y y)))
(.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 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))))) (#(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 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) y)))) (#(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 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))))))))

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
404×	`distribute-rgt-neg-out_binary64`
365×	`fma-neg_binary64`
337×	`distribute-rgt-neg-in_binary64`
318×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	248
1	21	248
2	44	248
3	86	248
4	204	248
5	634	248
6	988	248
7	1635	248
8	2039	248
9	2929	248
10	3766	248
11	4633	248
12	5763	248

Stop Event

1×	node limit

Counts

72 → 40

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)

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y)))))
✓	2.0b	(-.f64 (.f64 x x) (.f64 z (*.f64 y y)))
	8.7b	(.f64 z (.f64 y y))
✓	26.4b	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y))))

Compiler

Compiled 99 to 24 computations (75.8% saved)

series25.0ms (0.4%)

Counts

3 → 86

Calls

27 calls:

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

rewrite137.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`log-prod_binary64`
709×	`fma-def_binary64`
294×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	325	34
2	4887	30

Stop Event

1×	node limit

Counts

3 → 350

Calls

Call 1

Inputs

(/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))

(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))) (neg.f64 (/.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))) (/.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))) 1)))) 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simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
521×	`associate-/l/_binary64`
418×	`associate-/r/_binary64`
337×	`sub-neg_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	1371
1	159	1281
2	531	1260
3	2702	1236
4	6900	1230

Stop Event

1×	node limit

Counts

436 → 373

Calls

Call 1

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

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

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y (sqrt.f64 z))
✓	4.9b	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
	8.7b	(.f64 z (.f64 y y))
✓	24.7b	(cbrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 66 to 19 computations (71.2% saved)

series51.0ms (0.8%)

Counts

2 → 12

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	z	@	0	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
7.0ms	z	@	inf	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
2.0ms	z	@	-inf	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
2.0ms	z	@	-inf	(cbrt.f64 (.f64 z (.f64 y y)))
1.0ms	y	@	0	(cbrt.f64 (*.f64 y (sqrt.f64 z)))

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`pow1_binary64`
676×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	177	17
2	2084	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify160.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1984×	`unswap-sqr_binary64`
924×	`sqr-pow_binary64`
334×	`pow-sqr_binary64`
317×	`*-commutative_binary64`
277×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	47	136
2	97	136
3	254	136
4	1018	136
5	1970	136
6	2055	136
7	2201	136
8	2382	136
9	2563	136
10	2791	136
11	3081	136
12	3412	136
13	3809	136
14	4246	136
15	4708	136
16	4848	136
17	4968	136
18	5040	136
19	5124	136
20	5148	136

Stop Event

1×	node limit

Counts

64 → 56

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))

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

eval211.0ms (3.3%)

Compiler: Compiled 15419 to 5363 computations (65.2% saved)

prune131.0ms (2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	546	10	556
Fresh	5	0	5
Picked	1	0	1
Done	2	3	5
Total	554	13	567

Error

Counts

567 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (/.f64 1 2) (fma.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
▶	25.9b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 z (*.f64 y y))) x))
▶	44.0b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y (neg.f64 z))))))
	32.4b	(.f64 1/2 (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
	33.1b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
▶	30.5b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
✓	30.4b	(*.f64 1/2 x)
	0.7b	(.f64 (/.f64 1 2) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (sqrt.f64 z)) x))
	28.1b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)))))
	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
▶	33.2b	(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))))

Compiler

Compiled 363 to 272 computations (25.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
✓	0.3b	(*.f64 y (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)
✓	0.6b	(cbrt.f64 (sqrt.f64 z))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series20.0ms (0.3%)

Counts

4 → 51

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
3.0ms	x	@	0	(fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
2.0ms	y	@	0	(*.f64 y (cbrt.f64 z))
2.0ms	y	@	inf	(fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
2.0ms	z	@	-inf	(cbrt.f64 (sqrt.f64 z))

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	173	22
2	1996	22

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(cbrt.f64 (sqrt.f64 z))
(cbrt.f64 z)
(*.f64 y (cbrt.f64 z))
(fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)

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

simplify177.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2124×	`unswap-sqr_binary64`
1124×	`sqr-pow_binary64`
478×	`pow-sqr_binary64`
469×	`fabs-mul_binary64`
462×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	306
1	48	306
2	86	306
3	186	306
4	697	306
5	1331	306
6	1413	306
7	1538	306
8	1704	306
9	1903	306
10	2168	306
11	2506	306
12	2919	306
13	3432	306
14	4061	306
15	4445	306
16	4715	306
17	4917	306
18	5115	306
19	5209	306
20	5786	306

Stop Event

1×	node limit

Counts

128 → 84

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 26 to 22 computations (15.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
336×	`add-sqr-sqrt_binary64`
328×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
323×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	105	1
2	997	1

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	8.7b	(.f64 z (.f64 y y))
	19.7b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (/.f64 1 z))
✓	0.3b	(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
✓	0.6b	(/.f64 1 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series8.0ms (0.1%)

Counts

3 → 12

Calls

15 calls:

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

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
787×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	189	17
2	2370	17

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(sqrt.f64 (/.f64 1 z))

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	6	72

Stop Event

1×

saturated

Counts

96 → 84

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

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 y (neg.f64 z)))
	0.2b	(*.f64 y (sqrt.f64 z))
✓	0.4b	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z)))))
✓	12.8b	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z))))

Compiler

Compiled 82 to 23 computations (72% saved)

series21.0ms (0.3%)

Counts

3 → 74

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z)))))
2.0ms	z	@	-inf	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z)))))
1.0ms	z	@	0	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z)))))
1.0ms	z	@	inf	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z))))
1.0ms	z	@	-inf	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z))))

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`log-prod_binary64`
327×	`fma-def_binary64`
234×	`pow1/3_binary64`
225×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	288	43
2	4475	43

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

527×	`associate-/r/_binary64`
506×	`associate-/l/_binary64`
423×	`distribute-neg-frac_binary64`
388×	`distribute-rgt-out--_binary64`
306×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1470
1	182	1383
2	572	1335
3	2799	1293
4	6391	1293

Stop Event

1×	node limit

Counts

238 → 187

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))

Outputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(neg.f64 (/.f64 x (.f64 z (.f64 y y))))
(/.f64 (neg.f64 x) (.f64 y (.f64 y z)))
(neg.f64 (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(neg.f64 (/.f64 x (.f64 z (.f64 y y))))
(/.f64 (neg.f64 x) (.f64 y (.f64 y z)))
(neg.f64 (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(neg.f64 (/.f64 x (.f64 z (.f64 y y))))
(/.f64 (neg.f64 x) (.f64 y (.f64 y z)))
(neg.f64 (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (.f64 z (.f64 y y)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z))))
(.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))
(neg.f64 (/.f64 x (.f64 z (.f64 y y))))
(/.f64 (neg.f64 x) (.f64 y (.f64 y z)))
(neg.f64 (/.f64 x (.f64 y (.f64 y z))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (/.f64 y x)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x (/.f64 x y)) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 1 z)) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 z (*.f64 y y))))))
(+.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (/.f64 y x)) x)) (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) (.f64 y (*.f64 y z)))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (*.f64 y z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (fabs.f64 (pow.f64 z 3/2)) (.f64 (/.f64 (*.f64 y y) x) z)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (/.f64 z x) (*.f64 y y))))
(.f64 (.f64 (/.f64 y x) y) (-.f64 (neg.f64 z) (/.f64 (*.f64 y (pow.f64 z 3/2)) x)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (neg.f64 (/.f64 (.f64 y y) (/.f64 x z)))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 z)) x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z)))) (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (fabs.f64 (pow.f64 z 3/2)))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 z z) (.f64 (/.f64 z x) (.f64 y y)))))
(-.f64 (.f64 (.f64 (/.f64 y x) y) (-.f64 (neg.f64 z) (/.f64 (.f64 y (pow.f64 z 3/2)) x))) (.f64 z (*.f64 z (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(-.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 (pow.f64 y 4)) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (fma.f64 -1 (/.f64 (.f64 y y) (/.f64 x z)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 z)) x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z)))) (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (fabs.f64 (pow.f64 z 3/2)))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 z z) (.f64 (/.f64 z x) (.f64 y y))))) (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 x 4) (pow.f64 z 5/2))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))) (.f64 (.f64 (/.f64 y x) y) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (fabs.f64 (pow.f64 z 3/2)) (.f64 (/.f64 (*.f64 y y) x) z)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (/.f64 z x) (*.f64 y y))))
(.f64 (.f64 (/.f64 y x) y) (-.f64 (neg.f64 z) (/.f64 (*.f64 y (pow.f64 z 3/2)) x)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (neg.f64 (/.f64 (.f64 y y) (/.f64 x z)))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 z)) x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z)))) (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (fabs.f64 (pow.f64 z 3/2)))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 z z) (.f64 (/.f64 z x) (.f64 y y)))))
(-.f64 (.f64 (.f64 (/.f64 y x) y) (-.f64 (neg.f64 z) (/.f64 (.f64 y (pow.f64 z 3/2)) x))) (.f64 z (*.f64 z (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(-.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 (pow.f64 y 4)) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (fma.f64 -1 (/.f64 (.f64 y y) (/.f64 x z)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 z)) x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z)))) (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (fabs.f64 (pow.f64 z 3/2)))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 z z) (.f64 (/.f64 z x) (.f64 y y))))) (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 x 4) (pow.f64 z 5/2))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))) (.f64 (.f64 (/.f64 y x) y) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (fabs.f64 (pow.f64 z 3/2)) (.f64 (/.f64 (*.f64 y y) x) z)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (/.f64 z x) (*.f64 y y))))
(.f64 (.f64 (/.f64 y x) y) (-.f64 (neg.f64 z) (/.f64 (*.f64 y (pow.f64 z 3/2)) x)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (neg.f64 (/.f64 (.f64 y y) (/.f64 x z)))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 z)) x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z)))) (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (fabs.f64 (pow.f64 z 3/2)))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 z z) (.f64 (/.f64 z x) (.f64 y y)))))
(-.f64 (.f64 (.f64 (/.f64 y x) y) (-.f64 (neg.f64 z) (/.f64 (.f64 y (pow.f64 z 3/2)) x))) (.f64 z (*.f64 z (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(-.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 (pow.f64 y 4)) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (fma.f64 -1 (/.f64 (.f64 y y) (/.f64 x z)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 z)) x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z)))) (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (fabs.f64 (pow.f64 z 3/2)))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 z z) (.f64 (/.f64 z x) (.f64 y y))))) (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 x 4) (pow.f64 z 5/2))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))) (.f64 (.f64 (/.f64 y x) y) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (/.f64 (*.f64 y (pow.f64 z 3/2)) x))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (/.f64 y x)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x (/.f64 x y)) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 1 z)) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 z (*.f64 y y))))))
(+.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (/.f64 y x)) x)) (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) (.f64 y (*.f64 y z)))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (*.f64 y z)))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (/.f64 y x)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x (/.f64 x y)) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 1 z)) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 z (*.f64 y y))))))
(+.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (/.f64 y x)) x)) (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) (.f64 y (*.f64 y z)))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (*.f64 y z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 z))
(.f64 y (neg.f64 (.f64 y z)))
(.f64 y (.f64 y (neg.f64 z)))

eval157.0ms (2.4%)

Compiler: Compiled 8351 to 4162 computations (50.2% saved)

prune88.0ms (1.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	445	9	454
Fresh	2	3	5
Picked	1	0	1
Done	2	5	7
Total	450	17	467

Error

Counts

467 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	34.0b	(.f64 (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z))))))
	37.0b	(.f64 (/.f64 1 2) (.f64 -1 (/.f64 y (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y z)))))
▶	62.7b	(.f64 (/.f64 1 2) (.f64 z (neg.f64 (/.f64 (*.f64 y y) x))))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
▶	22.2b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 y (*.f64 y z))) x))
▶	62.4b	(*.f64 (/.f64 1 2) (neg.f64 x))
✓	25.9b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 z (*.f64 y y))) x))
	38.4b	(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
	32.4b	(.f64 1/2 (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
▶	33.1b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
✓	30.5b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
✓	30.4b	(*.f64 1/2 x)
	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (pow.f64 z -1/2) y)))
	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (/.f64 1 y) (sqrt.f64 z))))
▶	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
	62.6b	(.f64 (/.f64 1 2) (/.f64 1 (neg.f64 (/.f64 x (.f64 y (*.f64 y z))))))

Compiler

Compiled 420 to 324 computations (22.9% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 y z))
✓	19.7b	(sqrt.f64 (.f64 y (.f64 y z)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`
494×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	120	13
2	1429	13

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
404×	`distribute-rgt-neg-out_binary64`
365×	`fma-neg_binary64`
337×	`distribute-rgt-neg-in_binary64`
318×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	248
1	21	248
2	44	248
3	86	248
4	204	248
5	634	248
6	988	248
7	1635	248
8	2039	248
9	2929	248
10	3766	248
11	4633	248
12	5763	248

Stop Event

1×	node limit

Counts

72 → 40

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)

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

localize8.0ms (0.1%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 2) (.f64 z (neg.f64 (/.f64 (*.f64 y y) x))))
✓	6.9b	(/.f64 (*.f64 y y) x)
✓	7.3b	(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series13.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
1.0ms	x	@	0	(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
1.0ms	z	@	0	(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
1.0ms	z	@	inf	(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))
1.0ms	y	@	0	(.f64 z (neg.f64 (/.f64 (.f64 y y) x)))

rewrite81.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
413×	`exp-prod_binary64`
306×	`pow-prod-down_binary64`
270×	`pow2_binary64`
264×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	247	30
2	3061	30

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

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

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

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def_binary64`
563×	`distribute-rgt-neg-in_binary64`
551×	`distribute-lft-neg-in_binary64`
396×	`associate-r_binary64`
382×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	1068
1	28	1068
2	71	1068
3	212	1068
4	747	1068
5	2951	1068
6	4288	1068
7	6000	1068

Stop Event

1×	node limit

Counts

219 → 129

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(sqrt.f64 (/.f64 1 z))
✓	0.3b	(/.f64 (sqrt.f64 (/.f64 1 z)) y)
✓	0.6b	(/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`pow1_binary64`
737×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
717×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	170	13
2	2192	13

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/l*_binary64`
3×	`*-commutative_binary64`
3×	`associate-*l/_binary64`
3×	`associate-/r*_binary64`
3×	`*-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	216
1	16	180
2	21	180
3	32	180
4	32	180
5	33	180
6	36	180
7	43	180
8	43	180

Stop Event

1×

saturated

Counts

92 → 70

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 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 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 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)

eval137.0ms (2.1%)

Compiler: Compiled 3968 to 2393 computations (39.7% saved)

prune92.0ms (1.4%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	267	9	276
Fresh	0	7	7
Picked	0	1	1
Done	2	7	9
Total	269	24	293

Error

Counts

293 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	34.0b	(.f64 (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z))))))
	37.0b	(.f64 (/.f64 1 2) (.f64 -1 (/.f64 y (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y z)))))
	62.6b	(.f64 (/.f64 1 2) (.f64 z (neg.f64 (*.f64 (/.f64 y x) y))))
	62.3b	(.f64 (/.f64 1 2) (/.f64 (.f64 z (*.f64 y y)) x))
✓	33.1b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
	62.1b	(.f64 (/.f64 1 2) (/.f64 (.f64 z y) (/.f64 x y)))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	62.3b	(.f64 (/.f64 1 2) (.f64 z (neg.f64 (.f64 (.f64 y (neg.f64 y)) (/.f64 1 x)))))
	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (pow.f64 z -1/2) y)))
✓	22.2b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 y (*.f64 y z))) x))
✓	62.4b	(*.f64 (/.f64 1 2) (neg.f64 x))
	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (/.f64 1 y) (sqrt.f64 z))))
	55.1b	(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))
	62.1b	(+.f64 0 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
	38.4b	(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
	62.5b	(.f64 y (.f64 z (/.f64 y (/.f64 x -1/2))))
✓	33.2b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
	62.6b	(neg.f64 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
	62.6b	(.f64 (/.f64 1 2) (.f64 y (*.f64 y (/.f64 (neg.f64 z) x))))
	32.4b	(.f64 1/2 (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
✓	30.5b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
✓	30.4b	(*.f64 1/2 x)
	62.6b	(.f64 (/.f64 1 2) (/.f64 1 (neg.f64 (/.f64 x (.f64 y (*.f64 y z))))))

Compiler

Compiled 334 to 253 computations (24.3% saved)

regimes223.0ms (3.4%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

8 calls:

39.0ms	(*.f64 y (sqrt.f64 z))
25.0ms	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
24.0ms	(sqrt.f64 z)
24.0ms	(*.f64 y (sqrt.f64 z))
24.0ms	z

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))`
0.1b	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
0.1b	1	`(*.f64 y (sqrt.f64 z))`
0.1b	1	`(*.f64 y (sqrt.f64 z))`
0.1b	1	`(sqrt.f64 z)`

Compiler

Compiled 571 to 318 computations (44.3% saved)

regimes169.0ms (2.6%)

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 (/.f64 1 2) (neg.f64 x))
(.f64 y (.f64 z (/.f64 y (/.f64 x -1/2))))
(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
(neg.f64 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
(.f64 (/.f64 1 2) (/.f64 (.f64 z (*.f64 y y)) x))
(.f64 (/.f64 1 2) (/.f64 (.f64 z y) (/.f64 x y)))
(+.f64 0 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (*.f64 (/.f64 y x) y))))
(.f64 (/.f64 1 2) (.f64 y (*.f64 y (/.f64 (neg.f64 z) x))))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (/.f64 (*.f64 y y) x))))
(.f64 (/.f64 1 2) (/.f64 1 (neg.f64 (/.f64 x (.f64 y (*.f64 y z))))))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (.f64 (.f64 y (neg.f64 y)) (/.f64 1 x)))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))
(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
(.f64 1/2 (+.f64 (sqrt.f64 (.f64 y (*.f64 y z))) x))
(.f64 1/2 (+.f64 (sqrt.f64 (.f64 z (*.f64 y y))) x))
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (pow.f64 z -1/2) y)))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (/.f64 1 y) (sqrt.f64 z))))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 z (*.f64 y y)))))
(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))))
(.f64 (/.f64 1 2) (.f64 -1 (/.f64 y (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y z)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y (neg.f64 z))))))
(.f64 (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z))))))
(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (*.f64 y y))))))

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

Calls

7 calls:

32.0ms	(*.f64 y (sqrt.f64 z))
27.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
23.0ms	y
19.0ms	(sqrt.f64 z)
19.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))`
0.1b	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
0.1b	1	`(*.f64 y (sqrt.f64 z))`
0.1b	1	`(sqrt.f64 z)`

Compiler

Compiled 429 to 249 computations (42% saved)

regimes258.0ms (4%)

Counts

17 → 5

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 (/.f64 1 2) (neg.f64 x))
(.f64 y (.f64 z (/.f64 y (/.f64 x -1/2))))
(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
(neg.f64 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
(.f64 (/.f64 1 2) (/.f64 (.f64 z (*.f64 y y)) x))
(.f64 (/.f64 1 2) (/.f64 (.f64 z y) (/.f64 x y)))
(+.f64 0 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (*.f64 (/.f64 y x) y))))
(.f64 (/.f64 1 2) (.f64 y (*.f64 y (/.f64 (neg.f64 z) x))))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (/.f64 (*.f64 y y) x))))
(.f64 (/.f64 1 2) (/.f64 1 (neg.f64 (/.f64 x (.f64 y (*.f64 y z))))))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (.f64 (.f64 y (neg.f64 y)) (/.f64 1 x)))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))

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

Calls

5 calls:

51.0ms	(sqrt.f64 z)
51.0ms	z
51.0ms	x
51.0ms	(*.f64 y (sqrt.f64 z))
45.0ms	y

Results

Error	Segments	Branch
13.2b	5	`x`
15.3b	5	`y`
23.0b	6	`z`
15.6b	5	`(*.f64 y (sqrt.f64 z))`
23.0b	6	`(sqrt.f64 z)`

Compiler

Compiled 191 to 126 computations (34% saved)

bsearch92.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	4.657007809774987e-27	2.1961858867783822e-16
21.0ms	-1.3997484259358803e-59	-2.1971940777090502e-60
25.0ms	-0.00024383560997425361	-1.908362917969629e-6
21.0ms	-1.7908716044931952e+68	-9.743016199120032e+59

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes33.0ms (0.5%)

Accuracy

Total -33.0b remaining (-108.5%)

Threshold costs -33.0b (-108.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 (/.f64 1 2) (neg.f64 x))
(.f64 y (.f64 z (/.f64 y (/.f64 x -1/2))))
(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
(neg.f64 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
(.f64 (/.f64 1 2) (/.f64 (.f64 z (*.f64 y y)) x))
(.f64 (/.f64 1 2) (/.f64 (.f64 z y) (/.f64 x y)))
(+.f64 0 (.f64 z (.f64 (/.f64 y (/.f64 x y)) 1/2)))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (*.f64 (/.f64 y x) y))))
(.f64 (/.f64 1 2) (.f64 y (*.f64 y (/.f64 (neg.f64 z) x))))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (/.f64 (*.f64 y y) x))))
(.f64 (/.f64 1 2) (/.f64 1 (neg.f64 (/.f64 x (.f64 y (*.f64 y z))))))
(.f64 (/.f64 1 2) (.f64 z (neg.f64 (.f64 (.f64 y (neg.f64 y)) (/.f64 1 x)))))

Outputs
(*.f64 1/2 x)

Calls

3 calls:

11.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
30.4b	1	`x`
30.4b	1	`y`
30.4b	1	`z`

Compiler

Compiled 159 to 108 computations (32.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	32	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
(if (<=.f64 x -179087160449319515119945242094045728467756272236713837594002063360000) (.f64 1/2 x) (if (<=.f64 x -8995946186503833/36893488147419103232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 x -6331241978350013/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 1/2 x) (if (<=.f64 x 6490921534584947/1393796574908163946345982392040522594123776) (.f64 1/2 (.f64 y (sqrt.f64 z))) (*.f64 1/2 x)))))
(*.f64 1/2 x)

Outputs
(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x -179087160449319515119945242094045728467756272236713837594002063360000) (.f64 1/2 x) (if (<=.f64 x -8995946186503833/36893488147419103232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 x -6331241978350013/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 1/2 x) (if (<=.f64 x 6490921534584947/1393796574908163946345982392040522594123776) (.f64 1/2 (.f64 y (sqrt.f64 z))) (*.f64 1/2 x)))))
(*.f64 1/2 x)

Compiler

Compiled 67 to 47 computations (29.9% saved)

soundness12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`
2×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	23	10
2	38	10
3	48	10

Stop Event

1×

saturated

Compiler

Compiled 48 to 36 computations (25% saved)

end37.0ms (0.6%)

Compiler: Compiled 58 to 35 computations (39.7% saved)

Details

analyze221.0ms (3.4%)

sample2.1s (33.2%)

preprocess26.0ms (0.4%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite107.0ms (1.7%)

simplify10.0ms (0.2%)

localize20.0ms (0.3%)

series10.0ms (0.2%)

rewrite69.0ms (1.1%)

simplify11.0ms (0.2%)

eval25.0ms (0.4%)

prune67.0ms (1%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite58.0ms (0.9%)

simplify44.0ms (0.7%)

localize4.0ms (0.1%)

localize14.0ms (0.2%)

series6.0ms (0.1%)

rewrite51.0ms (0.8%)

simplify95.0ms (1.5%)

localize29.0ms (0.4%)

series25.0ms (0.4%)

rewrite137.0ms (2.1%)

simplify96.0ms (1.5%)

localize23.0ms (0.4%)

series51.0ms (0.8%)

rewrite78.0ms (1.2%)

simplify160.0ms (2.5%)

eval211.0ms (3.3%)

prune131.0ms (2%)

localize19.0ms (0.3%)

series20.0ms (0.3%)

rewrite82.0ms (1.3%)

simplify177.0ms (2.7%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite46.0ms (0.7%)

simplify8.0ms (0.1%)

localize12.0ms (0.2%)

localize22.0ms (0.3%)

series8.0ms (0.1%)

rewrite66.0ms (1%)

simplify9.0ms (0.1%)

localize24.0ms (0.4%)

series21.0ms (0.3%)

rewrite94.0ms (1.5%)

simplify90.0ms (1.4%)

eval157.0ms (2.4%)

prune88.0ms (1.4%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (0.8%)

simplify94.0ms (1.5%)

localize8.0ms (0.1%)

localize14.0ms (0.2%)

series13.0ms (0.2%)

rewrite81.0ms (1.3%)

simplify95.0ms (1.5%)

localize7.0ms (0.1%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

rewrite61.0ms (0.9%)

simplify18.0ms (0.3%)

eval137.0ms (2.1%)

prune92.0ms (1.4%)

regimes223.0ms (3.4%)

regimes169.0ms (2.6%)

regimes258.0ms (4%)

bsearch92.0ms (1.4%)

regimes33.0ms (0.5%)

simplify5.0ms (0.1%)

soundness12.0ms (0.2%)

end37.0ms (0.6%)

Profiling