Details

analyze221.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	68.6%	25.1%	7
9.4%	65.5%	25.1%	8
14%	60.8%	25.1%	9
21.1%	41.3%	37.6%	10
24.6%	37.8%	37.6%	11
28.7%	33.7%	37.6%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.4s (23.4%)

Results

1.0s	8255×	body	256	valid
352.0ms	2682×	body	256	invalid
0.0ms	1×	body	512	valid

preprocess18.0ms (0.3%)

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)

simplify7.0ms (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)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

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	y	@	inf	(*.f64 y (sqrt.f64 z))
1.0ms	z	@	inf	(*.f64 y (sqrt.f64 z))

rewrite54.0ms (0.9%)

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	1992	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 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 expm1.f64 (log1p.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 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)))) (#(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 expm1.f64 (log1p.f64 (fma.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 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 expm1.f64 (log1p.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 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)))) (#(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 expm1.f64 (log1p.f64 (fma.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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 8 computations (61.9% saved)

series3.0ms (0.1%)

Counts

1 → 25

Calls

9 calls:

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

rewrite37.0ms (0.6%)

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	1371	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 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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))))

simplify9.0ms (0.1%)

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)

eval20.0ms (0.3%)

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

prune21.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Error

0.0b

Counts

75 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	38.1b	(.f64 (/.f64 1 2) (fma.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x))
	38.1b	(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) 2)))
▶	29.6b	(*.f64 1/2 x)
▶	22.4b	(.f64 (/.f64 1 2) (+.f64 x (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 3))))
▶	32.6b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (*.f64 y y))))))
	0.6b	(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) 3)))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	33.9b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
▶	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
	32.5b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
▶	29.5b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 z (*.f64 y y)))))

Compiler

Compiled 322 to 233 computations (27.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite50.0ms (0.8%)

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	1988	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 y (*.f64 (sqrt.f64 z) 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 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)))) (#(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 expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))))

simplify7.0ms (0.1%)

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

localize24.0ms (0.4%)

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

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	22.9b	(sqrt.f64 (.f64 z (.f64 y y)))
	9.6b	(.f64 z (.f64 y y))
	0.0b	(+.f64 x (sqrt.f64 (.f64 z (.f64 y y))))
✓	0.0b	(+.f64 x (sqrt.f64 (.f64 z (.f64 y y))))
✓	9.6b	(.f64 z (.f64 y y))
✓	22.9b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series8.0ms (0.1%)

Counts

3 → 61

Calls

21 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	@	0	(sqrt.f64 (.f64 z (.f64 y y)))

rewrite82.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
832×	`add-log-exp_binary64`
832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	171	20
2	2358	20

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
783×	`fma-def_binary64`
383×	`cube-prod_binary64`
367×	`distribute-rgt-neg-in_binary64`
324×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	388
1	28	388
2	55	388
3	106	388
4	244	388
5	678	388
6	1099	388
7	1800	388
8	2318	388
9	3485	388
10	4656	388
11	6060	388
12	7324	388

Stop Event

1×	node limit

Counts

133 → 79

Calls

Call 1

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

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

localize53.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.6b	(-.f64 (.f64 x x) (.f64 z (*.f64 y y)))
	0.2b	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y)))))
	0.2b	(*.f64 y (sqrt.f64 z))
	0.0b	(-.f64 x (*.f64 y (sqrt.f64 z)))
✓	0.2b	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y)))))
✓	3.6b	(-.f64 (.f64 x x) (.f64 z (*.f64 y y)))
	9.6b	(.f64 z (.f64 y y))
✓	27.0b	(/.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)

series29.0ms (0.5%)

Counts

3 → 86

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y)))))
4.0ms	y	@	inf	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y))))
2.0ms	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 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y))))

rewrite132.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`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	4868	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 z (*.f64 y y)))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(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 z (*.f64 y y)))) (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 1) (/.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(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 1 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))) (/.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) 2)) (*.f64 (cbrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) (/.f64 1 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (*.f64 (sqrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (/.f64 1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (fma.f64 y (neg.f64 (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (/.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (/.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) 1) (/.f64 (sqrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) 2)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (/.f64 (sqrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) 2)) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (/.f64 (cbrt.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x)) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (*.f64 y y)) 3))) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 x x (*.f64 z (*.f64 y y))) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 4) (*.f64 z z)))) (fma.f64 x x (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)) 1)))) (#(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 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (neg.f64 (sqrt.f64 z)) x) 3) (pow.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (cbrt.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))) (cbrt.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (sqrt.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (/.f64 x (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (/.f64 x (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (/.f64 (cbrt.f64 x) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y (neg.f64 y)))))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (*.f64 y y)) 3))) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 x x (*.f64 z (*.f64 y y))) (pow.f64 x 4)) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 4) (*.f64 z z)))) (fma.f64 x x (*.f64 z (*.f64 y y))) (neg.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x))))))))

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

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
518×	`associate-/l/_binary64`
420×	`associate-/r/_binary64`
338×	`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	2663	1236
4	6851	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 x (.f64 y (.f64 y z))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (*.f64 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 (.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z)))))
(fma.f64 (.f64 (/.f64 x (pow.f64 y 3)) x) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (.f64 y z))))
(+.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 (sqrt.f64 (/.f64 1 z)) y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)) (/.f64 -1 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)))))))
(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)) (fma.f64 -1 (/.f64 x (.f64 z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (*.f64 z z)))))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z)))) (/.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 y) (.f64 y z)) (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (pow.f64 y 4))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 -1 z) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)))) (/.f64 (pow.f64 x 3) (.f64 z (*.f64 z (pow.f64 y 4))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)) (/.f64 -1 z))) (/.f64 (pow.f64 x 3) (.f64 z (*.f64 z (pow.f64 y 4))))))
(/.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 (/.f64 y 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 z (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) z (-.f64 (/.f64 1 x) (.f64 (/.f64 (/.f64 y x) x) (sqrt.f64 z))))
(+.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) (fma.f64 -1 (.f64 (/.f64 y (.f64 x x)) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3)))))))
(+.f64 (/.f64 z (/.f64 (pow.f64 x 3) (.f64 y y))) (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 (/.f64 y x) x) (sqrt.f64 z) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (pow.f64 z 3/2))))
(-.f64 (-.f64 (/.f64 1 x) (/.f64 (.f64 y (sqrt.f64 z)) (.f64 x x))) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (-.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) 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 (/.f64 y 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 z (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) z (-.f64 (/.f64 1 x) (.f64 (/.f64 (/.f64 y x) x) (sqrt.f64 z))))
(+.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) (fma.f64 -1 (.f64 (/.f64 y (.f64 x x)) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3)))))))
(+.f64 (/.f64 z (/.f64 (pow.f64 x 3) (.f64 y y))) (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 (/.f64 y x) x) (sqrt.f64 z) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (pow.f64 z 3/2))))
(-.f64 (-.f64 (/.f64 1 x) (/.f64 (.f64 y (sqrt.f64 z)) (.f64 x x))) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (-.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) 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 (/.f64 y 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 z (/.f64 (pow.f64 x 3) (*.f64 y y))))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) z (-.f64 (/.f64 1 x) (.f64 (/.f64 (/.f64 y x) x) (sqrt.f64 z))))
(+.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) (fma.f64 -1 (.f64 (/.f64 y (.f64 x x)) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3)))))))
(+.f64 (/.f64 z (/.f64 (pow.f64 x 3) (.f64 y y))) (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 (/.f64 y x) x) (sqrt.f64 z) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (pow.f64 z 3/2))))
(-.f64 (-.f64 (/.f64 1 x) (/.f64 (.f64 y (sqrt.f64 z)) (.f64 x x))) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (-.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) 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 x (.f64 y (.f64 y z))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (*.f64 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 (.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z)))))
(fma.f64 (.f64 (/.f64 x (pow.f64 y 3)) x) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (.f64 y z))))
(+.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 (sqrt.f64 (/.f64 1 z)) y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)) (/.f64 -1 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)))))))
(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)) (fma.f64 -1 (/.f64 x (.f64 z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (*.f64 z z)))))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z)))) (/.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 y) (.f64 y z)) (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (pow.f64 y 4))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 -1 z) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)))) (/.f64 (pow.f64 x 3) (.f64 z (*.f64 z (pow.f64 y 4))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)) (/.f64 -1 z))) (/.f64 (pow.f64 x 3) (.f64 z (*.f64 z (pow.f64 y 4))))))
(*.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 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (*.f64 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 (.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z)))))
(fma.f64 (.f64 (/.f64 x (pow.f64 y 3)) x) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (.f64 y z))))
(+.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 (sqrt.f64 (/.f64 1 z)) y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)) (/.f64 -1 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)))))))
(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)) (fma.f64 -1 (/.f64 x (.f64 z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (*.f64 z z)))))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (.f64 y z)))) (/.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 y) (.f64 y z)) (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (pow.f64 y 4))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 -1 z) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)))) (/.f64 (pow.f64 x 3) (.f64 z (*.f64 z (pow.f64 y 4))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (-.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y)) (/.f64 -1 z))) (/.f64 (pow.f64 x 3) (.f64 z (*.f64 z (pow.f64 y 4))))))
(/.f64 1 x)
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.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 y (*.f64 y z)))
(fma.f64 x x (.f64 y (.f64 y (neg.f64 z))))
(fma.f64 z (neg.f64 (.f64 y y)) (.f64 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)
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

localize28.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	35.8b	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))
	0.3b	(pow.f64 (*.f64 y (sqrt.f64 z)) 3)
	0.2b	(*.f64 y (sqrt.f64 z))
	0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))
✓	0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))
	0.2b	(*.f64 y (sqrt.f64 z))
✓	0.3b	(pow.f64 (*.f64 y (sqrt.f64 z)) 3)
✓	35.8b	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))

Compiler

Compiled 53 to 28 computations (47.2% saved)

series21.0ms (0.3%)

Counts

3 → 49

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(pow.f64 (*.f64 y (sqrt.f64 z)) 3)
3.0ms	z	@	-inf	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))
3.0ms	z	@	0	(pow.f64 (*.f64 y (sqrt.f64 z)) 3)
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))
1.0ms	z	@	inf	(pow.f64 (*.f64 y (sqrt.f64 z)) 3)

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	218	22
2	2521	22

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))
(pow.f64 (*.f64 y (sqrt.f64 z)) 3)
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))

Outputs

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

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

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

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
546×	`unswap-sqr_binary64`
510×	`fma-neg_binary64`
410×	`sqr-pow_binary64`
288×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	423
1	45	420
2	98	396
3	197	396
4	336	396
5	1029	396
6	2208	396
7	2399	396
8	2704	396
9	3567	396
10	4128	396
11	4854	396
12	6187	396
13	7596	396

Stop Event

1×	node limit

Counts

141 → 99

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

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

eval210.0ms (3.5%)

Compiler: Compiled 16190 to 5879 computations (63.7% saved)

prune106.0ms (1.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	615	11	626
Fresh	4	1	5
Picked	1	0	1
Done	2	3	5
Total	622	15	637

Error

Counts

637 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.9b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
	41.3b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))))
▶	45.6b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y (neg.f64 z))))))
	32.5b	(.f64 1/2 (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
▶	29.5b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 z (*.f64 y y))) x))
▶	0.2b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))))
▶	29.7b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
	0.4b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))))
	33.9b	(.f64 (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x y) (.f64 y z)))))
	24.6b	(.f64 (/.f64 1 2) (+.f64 x (cbrt.f64 (.f64 (.f64 z (.f64 y y)) (*.f64 y (sqrt.f64 z))))))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	33.9b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
✓	29.6b	(*.f64 1/2 x)
	27.3b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 y (*.f64 y z)))))

Compiler

Compiled 429 to 320 computations (25.4% saved)

localize38.0ms (0.6%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y))
	0.3b	(*.f64 (pow.f64 z 1/4) y)
	0.0b	(+.f64 x (.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y)))
✓	0.0b	(+.f64 x (.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y)))
✓	0.3b	(*.f64 (pow.f64 z 1/4) y)
✓	0.4b	(.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y))

Compiler

Compiled 55 to 38 computations (30.9% saved)

series125.0ms (2.1%)

Counts

3 → 61

Calls

21 calls:

Time	Variable		Point	Expression
54.0ms	y	@	0	(*.f64 (pow.f64 z 1/4) y)
37.0ms	z	@	0	(*.f64 (pow.f64 z 1/4) y)
15.0ms	z	@	-inf	(*.f64 (pow.f64 z 1/4) y)
10.0ms	z	@	inf	(*.f64 (pow.f64 z 1/4) y)
1.0ms	z	@	0	(.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y))

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`prod-diff_binary64`
471×	`log-prod_binary64`
324×	`pow-prod-down_binary64`
255×	`fma-def_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	197	20
2	2560	20

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs
(.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y))
(*.f64 (pow.f64 z 1/4) y)
(+.f64 x (.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y)))

Outputs

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

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

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

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-def_binary64`
638×	`div-sub_binary64`
606×	`fma-neg_binary64`
362×	`times-frac_binary64`
232×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	388
1	49	388
2	99	388
3	213	388
4	588	388
5	1706	388
6	5101	388

Stop Event

1×	node limit

Counts

159 → 104

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 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.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
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)

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 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(*.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
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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (/.f64 1 x))
✓	0.4b	(/.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	@	0	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 x))

rewrite34.0ms (0.6%)

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 → 48

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

60 → 49

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

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	22.9b	(sqrt.f64 (.f64 z (.f64 y y)))
	9.6b	(.f64 z (.f64 y y))
	0.0b	(+.f64 (sqrt.f64 (.f64 z (.f64 y y))) x)
✓	0.0b	(+.f64 (sqrt.f64 (.f64 z (.f64 y y))) x)
	9.6b	(.f64 z (.f64 y y))
	22.9b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series3.0ms (0%)

Counts

1 → 25

Calls

9 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
792×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	171	7
2	2313	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

106×	`fma-def_binary64`
82×	`fma-neg_binary64`
29×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	159
1	19	156
2	36	156
3	49	156
4	61	156
5	98	156
6	155	156
7	207	156
8	277	156
9	372	156
10	448	156
11	462	156
12	464	156

Stop Event

1×

saturated

Counts

59 → 42

Calls

Call 1

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

localize29.0ms (0.5%)

Local error

Found 6 expressions with local error:

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

series9.0ms (0.1%)

Counts

3 → 24

Calls

15 calls:

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

rewrite51.0ms (0.8%)

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	27
1	170	17
2	2186	17

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

simplify16.0ms (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

118 → 96

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)

localize25.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y (sqrt.f64 z))
	0.1b	(.f64 y (.f64 y (neg.f64 z)))
	0.0b	(-.f64 x (*.f64 y (sqrt.f64 z)))
	0.0b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y (neg.f64 z))))))
✓	0.1b	(.f64 y (.f64 y (neg.f64 z)))
	0.2b	(*.f64 y (sqrt.f64 z))
✓	0.3b	(/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z)))))
✓	14.2b	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y (neg.f64 z))))

Compiler

Compiled 82 to 23 computations (72% saved)

series22.0ms (0.4%)

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))))

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`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	4466	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

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

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

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

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-/r/_binary64`
505×	`associate-/l/_binary64`
423×	`distribute-neg-frac_binary64`
389×	`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	2765	1293
4	6329	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 (/.f64 (neg.f64 x) z) (*.f64 y y))
(/.f64 (neg.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 (/.f64 (neg.f64 x) z) (*.f64 y y))
(/.f64 (neg.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 (/.f64 (neg.f64 x) z) (*.f64 y y))
(/.f64 (neg.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 (/.f64 (neg.f64 x) z) (*.f64 y y))
(/.f64 (neg.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 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x (/.f64 x y)) (fma.f64 y (sqrt.f64 z) 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 (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) (fma.f64 y (sqrt.f64 z) x)))
(+.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 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 1 z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(/.f64 (neg.f64 (.f64 z (.f64 y y))) x)
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(+.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 -1 (+.f64 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (/.f64 (.f64 z (*.f64 y y)) x)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.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 z (/.f64 (*.f64 y y) x))))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (neg.f64 z) (/.f64 (*.f64 y (pow.f64 z 3/2)) x)))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (*.f64 (/.f64 y x) (neg.f64 (pow.f64 z 3/2))) z))
(+.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))) (.f64 -1 (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (/.f64 (.f64 z (.f64 y y)) x))))
(+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.f64 (/.f64 (*.f64 y y) x) z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (.f64 y y) x) z (*.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) z)) z))))
(-.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 x 3)) (neg.f64 (pow.f64 y 4))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) z)))
(-.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 (pow.f64 y 4)) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 (pow.f64 z 3/2) (/.f64 y x)) z)))
(+.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 z (.f64 y y)) x) (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 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 5) (sqrt.f64 (pow.f64 z 5))) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (sqrt.f64 (pow.f64 z 3))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) z)) z))) (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (pow.f64 z 5/2) (.f64 z (/.f64 (.f64 y y) x))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x) (.f64 z (.f64 z (pow.f64 y 4))))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) z)))
(-.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 (*.f64 (pow.f64 z 3/2) (/.f64 y x)) z)))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(/.f64 (neg.f64 (.f64 z (.f64 y y))) x)
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(+.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 -1 (+.f64 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (/.f64 (.f64 z (*.f64 y y)) x)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.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 z (/.f64 (*.f64 y y) x))))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (neg.f64 z) (/.f64 (*.f64 y (pow.f64 z 3/2)) x)))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (*.f64 (/.f64 y x) (neg.f64 (pow.f64 z 3/2))) z))
(+.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))) (.f64 -1 (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (/.f64 (.f64 z (.f64 y y)) x))))
(+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.f64 (/.f64 (*.f64 y y) x) z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (.f64 y y) x) z (*.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) z)) z))))
(-.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 x 3)) (neg.f64 (pow.f64 y 4))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) z)))
(-.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 (pow.f64 y 4)) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 (pow.f64 z 3/2) (/.f64 y x)) z)))
(+.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 z (.f64 y y)) x) (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 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 5) (sqrt.f64 (pow.f64 z 5))) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (sqrt.f64 (pow.f64 z 3))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) z)) z))) (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (pow.f64 z 5/2) (.f64 z (/.f64 (.f64 y y) x))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x) (.f64 z (.f64 z (pow.f64 y 4))))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) z)))
(-.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 (*.f64 (pow.f64 z 3/2) (/.f64 y x)) z)))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(/.f64 (neg.f64 (.f64 z (.f64 y y))) x)
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(+.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 -1 (+.f64 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (/.f64 (.f64 z (*.f64 y y)) x)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.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 z (/.f64 (*.f64 y y) x))))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (neg.f64 z) (/.f64 (*.f64 y (pow.f64 z 3/2)) x)))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (*.f64 (/.f64 y x) (neg.f64 (pow.f64 z 3/2))) z))
(+.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))) (.f64 -1 (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) (.f64 z z))) (/.f64 (.f64 z (.f64 y y)) x))))
(+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.f64 (/.f64 (*.f64 y y) x) z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 (.f64 y y) x) z (*.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) z)) z))))
(-.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 x 3)) (neg.f64 (pow.f64 y 4))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) z)))
(-.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 (pow.f64 y 4)) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 (pow.f64 z 3/2) (/.f64 y x)) z)))
(+.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 z (.f64 y y)) x) (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 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 5) (sqrt.f64 (pow.f64 z 5))) (pow.f64 x 4))) (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (sqrt.f64 (pow.f64 z 3))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 3) z)) z))) (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (pow.f64 z 5/2) (.f64 z (/.f64 (.f64 y y) x))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x) (.f64 z (.f64 z (pow.f64 y 4))))) (.f64 (/.f64 (.f64 y y) x) (+.f64 (/.f64 (*.f64 y (pow.f64 z 3/2)) x) z)))
(-.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 (*.f64 (pow.f64 z 3/2) (/.f64 y x)) 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 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x (/.f64 x y)) (fma.f64 y (sqrt.f64 z) 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 (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) (fma.f64 y (sqrt.f64 z) x)))
(+.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 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 1 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 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x (/.f64 x y)) (fma.f64 y (sqrt.f64 z) 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 (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (/.f64 x y) x) (fma.f64 y (sqrt.f64 z) x)))
(+.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 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 1 z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(/.f64 (neg.f64 (.f64 z (.f64 y y))) x)
(/.f64 (.f64 (.f64 y y) (neg.f64 z)) x)
(*.f64 z (/.f64 (neg.f64 y) (/.f64 x y)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 y (neg.f64 z)))

eval228.0ms (3.8%)

Compiler: Compiled 9514 to 4716 computations (50.4% saved)

prune110.0ms (1.8%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	522	8	530
Fresh	4	3	7
Picked	0	1	1
Done	1	6	7
Total	527	18	545

Error

Counts

545 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(.f64 1/2 (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
✓	33.9b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
▶	62.7b	(*.f64 (/.f64 1 2) (neg.f64 x))
✓	45.6b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y (neg.f64 z))))))
	35.6b	(.f64 (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z))))))
	33.9b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (pow.f64 z -1/2) y)))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
✓	29.7b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
	62.8b	(.f64 (/.f64 1 2) (.f64 z (/.f64 (neg.f64 y) (/.f64 x y))))
▶	0.4b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))))
✓	29.6b	(*.f64 1/2 x)
▶	27.3b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 y (*.f64 y z))) x))
▶	62.8b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (neg.f64 x) (.f64 y (*.f64 y z)))))
	33.9b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
✓	0.2b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
	41.3b	(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)) x))
	24.6b	(.f64 (/.f64 1 2) (+.f64 x (cbrt.f64 (.f64 (.f64 z (.f64 y y)) (*.f64 y (sqrt.f64 z))))))

Compiler

Compiled 438 to 328 computations (25.1% saved)

localize29.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 z)
	0.3b	(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 z)) y))
	0.3b	(*.f64 (cbrt.f64 (sqrt.f64 z)) y)
	0.0b	(+.f64 x (.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 z)) y)))
✓	0.3b	(*.f64 (cbrt.f64 (sqrt.f64 z)) y)
✓	0.3b	(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 z)) y))
✓	0.5b	(cbrt.f64 z)
✓	0.6b	(cbrt.f64 (sqrt.f64 z))

Compiler

Compiled 55 to 18 computations (67.3% saved)

series65.0ms (1.1%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	z	@	0	(cbrt.f64 (sqrt.f64 z))
26.0ms	z	@	-inf	(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 z)) y))
2.0ms	z	@	-inf	(cbrt.f64 (sqrt.f64 z))
1.0ms	z	@	-inf	(*.f64 (cbrt.f64 (sqrt.f64 z)) y)
1.0ms	z	@	inf	(cbrt.f64 (sqrt.f64 z))

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
614×	`add-log-exp_binary64`
614×	`log1p-expm1-u_binary64`
614×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	155	20
2	1800	20

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

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

simplify155.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

934×	`unswap-sqr_binary64`
819×	`sqr-pow_binary64`
673×	`cube-prod_binary64`
502×	`fabs-mul_binary64`
448×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	360
1	45	360
2	92	360
3	246	360
4	1015	360
5	1585	360
6	2985	360
7	3094	360
8	3259	360
9	3451	360
10	3670	360
11	3972	360
12	4367	360
13	4848	360
14	5438	360
15	6188	360
16	6541	360
17	6941	360
18	7335	360
19	7797	360

Stop Event

1×	node limit

Counts

117 → 76

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

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

localize9.0ms (0.1%)

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

localize30.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	6.5b	(/.f64 (neg.f64 x) (.f64 y (.f64 y z)))
	0.3b	(/.f64 1 (/.f64 (neg.f64 x) (.f64 y (.f64 y z))))
	0.1b	(.f64 y (.f64 y z))
	0.0b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (neg.f64 x) (.f64 y (*.f64 y z)))))
✓	0.0b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (neg.f64 x) (.f64 y (*.f64 y z)))))
✓	0.1b	(.f64 y (.f64 y z))
✓	0.3b	(/.f64 1 (/.f64 (neg.f64 x) (.f64 y (.f64 y z))))
✓	6.5b	(/.f64 (neg.f64 x) (.f64 y (.f64 y z)))

Compiler

Compiled 53 to 20 computations (62.3% saved)

series19.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

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

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
356×	`pow-prod-down_binary64`
328×	`pow-unpow_binary64`
297×	`pow2_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	275	40
2	3678	40

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

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

simplify165.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

471×	`fma-def_binary64`
412×	`associate-r_binary64`
398×	`associate-l_binary64`
380×	`associate-/l*_binary64`
367×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	1500
1	35	1500
2	97	1500
3	297	1500
4	1042	1500
5	4241	1500
6	5484	1500
7	7306	1500

Stop Event

1×	node limit

Counts

307 → 183

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	22.9b	(sqrt.f64 (.f64 y (.f64 y z)))
	0.1b	(.f64 y (.f64 y z))
	0.0b	(+.f64 (sqrt.f64 (.f64 y (.f64 y z))) x)
✓	0.0b	(+.f64 (sqrt.f64 (.f64 y (.f64 y z))) x)
	0.1b	(.f64 y (.f64 y z))
✓	22.9b	(sqrt.f64 (.f64 y (.f64 y z)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series4.0ms (0.1%)

Counts

2 → 37

Calls

15 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	170	15
2	2294	15

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 y z)))
(+.f64 (sqrt.f64 (.f64 y (.f64 y 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 *.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 (*.f64 y z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 y (*.f64 y 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 (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 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 (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 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 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 expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))))

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

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

106×	`fma-def_binary64`
82×	`fma-neg_binary64`
29×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	239
1	19	236
2	36	236
3	49	236
4	61	236
5	98	236
6	155	236
7	207	236
8	277	236
9	372	236
10	448	236
11	462	236
12	464	236

Stop Event

1×

saturated

Counts

95 → 65

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

localize91.0ms (1.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	9.6b	(.f64 z (.f64 y y))
	3.6b	(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
	0.2b	(*.f64 y (sqrt.f64 z))
	0.0b	(-.f64 (*.f64 y (sqrt.f64 z)) x)
	0.2b	(*.f64 y (sqrt.f64 z))
✓	3.6b	(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
	9.6b	(.f64 z (.f64 y y))
✓	26.9b	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))

Compiler

Compiled 73 to 14 computations (80.8% saved)

series15.0ms (0.2%)

Counts

2 → 61

Calls

18 calls:

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

rewrite118.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`fma-def_binary64`
738×	`log-prod_binary64`
402×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	277	20
2	4226	20

Stop Event

1×	node limit

Counts

2 → 306

Calls

Call 1

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

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-def_binary64`
571×	`fma-neg_binary64`
484×	`unswap-sqr_binary64`
440×	`distribute-rgt-neg-in_binary64`
328×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	585
1	30	558
2	56	558
3	115	558
4	299	558
5	989	558
6	2082	558
7	4178	558
8	5465	558
9	6503	558
10	7202	558
11	7867	558

Stop Event

1×	node limit

Counts

367 → 314

Calls

Call 1

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

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

eval277.0ms (4.6%)

Compiler: Compiled 14358 to 5171 computations (64% saved)

prune213.0ms (3.5%)

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	675	12	687
Fresh	2	4	6
Picked	1	0	1
Done	2	9	11
Total	680	25	705

Error

Counts

705 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.9b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
	62.7b	(.f64 (/.f64 1 2) (.f64 (/.f64 y -1) (/.f64 (*.f64 y z) x)))
✓	62.7b	(*.f64 (/.f64 1 2) (neg.f64 x))
	62.0b	(+.f64 0 (.f64 (/.f64 (.f64 y z) (/.f64 x y)) 1/2))
	35.6b	(.f64 (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (.f64 y (*.f64 y z))))))
	33.9b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (pow.f64 z -1/2) y)))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	62.8b	(.f64 (/.f64 1 2) (/.f64 (.f64 y (*.f64 y (neg.f64 z))) x))
✓	0.2b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))))
	62.9b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (/.f64 (neg.f64 x) z) (.f64 y y))))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 y (sqrt.f64 z)) x))
	62.0b	(.f64 (/.f64 1 2) (.f64 (/.f64 1 (/.f64 x y)) (*.f64 y z)))
	62.0b	(.f64 (/.f64 1 2) (.f64 (/.f64 y 1) (/.f64 (*.f64 y z) x)))
✓	29.7b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
	62.8b	(.f64 (/.f64 1 2) (.f64 z (/.f64 (neg.f64 y) (/.f64 x y))))
✓	0.4b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))))
	33.9b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
	41.3b	(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 y)) x))
✓	29.6b	(*.f64 1/2 x)
✓	27.3b	(.f64 1/2 (+.f64 (sqrt.f64 (.f64 y (*.f64 y z))) x))
	24.6b	(.f64 (/.f64 1 2) (+.f64 x (cbrt.f64 (.f64 (.f64 z (.f64 y y)) (*.f64 y (sqrt.f64 z))))))
	62.1b	(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 (*.f64 y z)) (/.f64 x y))))
	45.6b	(.f64 1/2 (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
	62.4b	(.f64 (/.f64 1 2) (.f64 (/.f64 (*.f64 y y) 1) (/.f64 z x)))
	62.7b	(.f64 y (.f64 (*.f64 y z) (/.f64 -1/2 x)))

Compiler

Compiled 363 to 274 computations (24.5% saved)

regimes112.0ms (1.8%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	z
15.0ms	(*.f64 y (sqrt.f64 z))
14.0ms	y
14.0ms	(sqrt.f64 z)
13.0ms	(*.f64 y (sqrt.f64 z))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`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 322 to 199 computations (38.2% saved)

regimes127.0ms (2.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

63.0ms	(sqrt.f64 z)
20.0ms	y
13.0ms	x
11.0ms	(*.f64 y (sqrt.f64 z))
11.0ms	z

Results

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

Compiler

Compiled 251 to 157 computations (37.5% saved)

regimes218.0ms (3.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

5 calls:

72.0ms	z
70.0ms	(sqrt.f64 z)
26.0ms	x
23.0ms	(*.f64 y (sqrt.f64 z))
22.0ms	y

Results

Error	Segments	Branch
13.5b	3	`x`
14.9b	3	`y`
21.8b	9	`z`
13.3b	3	`(*.f64 y (sqrt.f64 z))`
21.8b	9	`(sqrt.f64 z)`

Compiler

Compiled 176 to 114 computations (35.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.670434400833863e+67	1.3915748917061897e+68
0.0ms	-683991057178.2253	-588310680987.4113

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes36.0ms (0.6%)

Accuracy

Total -33.9b remaining (-114.8%)

Threshold costs -33.9b (-114.8%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

3 calls:

14.0ms	y
10.0ms	z
8.0ms	x

Results

Error	Segments	Branch
29.6b	1	`x`
29.6b	1	`y`
29.6b	1	`z`

Compiler

Compiled 158 to 101 computations (36.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	70
1	26	70

Stop Event

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 (.f64 y (sqrt.f64 z)) -629145600000000000/1048576) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 99999999999999995280522225138166806691251291352861698530421623488512) (.f64 1/2 x) (.f64 1/2 (*.f64 y (sqrt.f64 z)))))
(*.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 (.f64 y (sqrt.f64 z)) -629145600000000000/1048576) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 99999999999999995280522225138166806691251291352861698530421623488512) (.f64 1/2 x) (.f64 1/2 (*.f64 y (sqrt.f64 z)))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -600000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 99999999999999995280522225138166806691251291352861698530421623488512) (.f64 1/2 x) (.f64 1/2 (*.f64 y (sqrt.f64 z)))))
(*.f64 1/2 x)

end43.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 109 to 62 computations (43.1% saved)

Iter	Nodes	Cost
0	10	159
1	19	156
2	36	156
3	49	156
4	61	156
5	98	156
6	155	156
7	207	156
8	277	156
9	372	156
10	448	156
11	462	156
12	464	156

Iter	Nodes	Cost
0	10	239
1	19	236
2	36	236
3	49	236
4	61	236
5	98	236
6	155	236
7	207	236
8	277	236
9	372	236
10	448	236
11	462	236
12	464	236

Iter	Nodes	Cost
0	10	159
1	19	156
2	36	156
3	49	156
4	61	156
5	98	156
6	155	156
7	207	156
8	277	156
9	372	156
10	448	156
11	462	156
12	464	156

Iter	Nodes	Cost
0	10	239
1	19	236
2	36	236
3	49	236
4	61	236
5	98	236
6	155	236
7	207	236
8	277	236
9	372	236
10	448	236
11	462	236
12	464	236

Iter	Nodes	Cost
0	10	159
1	19	156
2	36	156
3	49	156
4	61	156
5	98	156
6	155	156
7	207	156
8	277	156
9	372	156
10	448	156
11	462	156
12	464	156

Iter	Nodes	Cost
0	10	239
1	19	236
2	36	236
3	49	236
4	61	236
5	98	236
6	155	236
7	207	236
8	277	236
9	372	236
10	448	236
11	462	236
12	464	236