Details

analyze536.0ms (18.6%)

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
0%	81.1%	18.9%	7
0%	81.1%	18.9%	8
6.2%	68.6%	25.1%	9
10.9%	53%	36%	10
13.3%	50.1%	36.6%	11
18.7%	39.9%	41.4%	12
22.4%	29.8%	47.8%	13
24.5%	27.5%	48%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (40.3%)

Results

884.0ms	8256×	body	128	valid
260.0ms	2588×	body	128	invalid

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess38.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

953×	`fma-def_binary64`
371×	`distribute-rgt-in_binary64`
269×	`unsub-neg_binary64`
250×	`sub-neg_binary64`
215×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	56	60
2	93	60
3	200	60
4	499	60
5	1448	60
6	3546	60
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify30.0ms (1%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
584×	`fma-neg_binary64`
283×	`distribute-rgt-in_binary64`
228×	`sub-neg_binary64`
220×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	19	15
2	31	15
3	60	15
4	134	15
5	383	15
6	833	15
7	1633	15
8	3632	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

25.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	25.3b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 49 to 29 computations (40.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	1.2b	(-.f64 (.f64 y y) (.f64 z z))
✓	25.2b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

series14.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

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

rewrite78.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`prod-diff_binary64`
406×	`fma-def_binary64`
200×	`egg-rr`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	198	37
2	2678	35

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

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

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

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

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/l*_binary64`
585×	`associate-/r*_binary64`
470×	`fma-def_binary64`
264×	`cancel-sign-sub-inv_binary64`
176×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1894
1	434	1872
2	1592	1838

Stop Event

1×	node limit

Counts

330 → 332

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (pow.f64 z 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (sqrt.f64 (neg.f64 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (sqrt.f64 (neg.f64 (pow.f64 z 2)))) (.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 3))))
y
(-.f64 y (*.f64 1/2 (/.f64 (pow.f64 z 2) y)))
(-.f64 y (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) (.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 y 3)))))
(-.f64 y (+.f64 (.f64 1/16 (/.f64 (pow.f64 z 6) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 y 3))))))
(*.f64 -1 y)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) y)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) (.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 y 3)))) y)
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 z 6) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 y 3))))) y)
y
(-.f64 y (*.f64 1/2 (/.f64 (pow.f64 z 2) y)))
(-.f64 y (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) (.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 y 3)))))
(-.f64 y (+.f64 (.f64 1/16 (/.f64 (pow.f64 z 6) (pow.f64 y 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 y 3))))))
(*.f64 (sqrt.f64 -1) z)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (sqrt.f64 -1) z))) (*.f64 (sqrt.f64 -1) z))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (sqrt.f64 -1) z))) (.f64 (sqrt.f64 -1) z)) (.f64 1/8 (/.f64 (pow.f64 y 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 z 5)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (sqrt.f64 -1) z))) (.f64 (sqrt.f64 -1) z))) (.f64 1/8 (/.f64 (pow.f64 y 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) z))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (sqrt.f64 -1) z))) (*.f64 (sqrt.f64 -1) z)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (sqrt.f64 -1) z))) (*.f64 (sqrt.f64 -1) z)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 z 5)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (sqrt.f64 -1) z))) (*.f64 (sqrt.f64 -1) z))))
(*.f64 -1 (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 -1 (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 -1 (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(-.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2))) x)
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) x)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (*.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) x)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 y 4) x) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) x))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 y 4) x) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 3))))
(*.f64 y x)
(-.f64 (.f64 y x) (.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) x) y)))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 3)))))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3))) (.f64 1/16 (/.f64 (*.f64 (pow.f64 z 6) x) (pow.f64 y 5))))))
(.f64 -1 (.f64 y x))
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (*.f64 y x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3)))) (*.f64 y x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 z 6) x) (pow.f64 y 5))))) (*.f64 y x))
(*.f64 y x)
(-.f64 (.f64 y x) (.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) x) y)))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 3)))))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3))) (.f64 1/16 (/.f64 (*.f64 (pow.f64 z 6) x) (pow.f64 y 5))))))
(.f64 (sqrt.f64 -1) (.f64 z x))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (*.f64 (sqrt.f64 -1) z))))
(-.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z)))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z))) (.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 z 5)))))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (*.f64 z x)))
(neg.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (*.f64 (sqrt.f64 -1) z)))))
(-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))) (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z)))))
(-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))) (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z))) (.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 z 5)))))))

Outputs
(sqrt.f64 (neg.f64 (pow.f64 z 2)))
(sqrt.f64 (neg.f64 (*.f64 z z)))
(sqrt.f64 (*.f64 z (neg.f64 z)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (sqrt.f64 (neg.f64 (pow.f64 z 2))))
(fma.f64 1/2 (/.f64 (.f64 y y) (sqrt.f64 (neg.f64 (.f64 z z)))) (sqrt.f64 (neg.f64 (*.f64 z z))))
(fma.f64 1/2 (/.f64 y (/.f64 (sqrt.f64 (.f64 z (neg.f64 z))) y)) (sqrt.f64 (.f64 z (neg.f64 z))))
(fma.f64 1/2 (.f64 (/.f64 y (sqrt.f64 (.f64 z (neg.f64 z)))) y) (sqrt.f64 (*.f64 z (neg.f64 z))))
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(fma.f64 1/2 (/.f64 (.f64 y (.f64 y x)) (sqrt.f64 (.f64 z (neg.f64 z)))) (fma.f64 (sqrt.f64 (.f64 z (neg.f64 z))) x (/.f64 (.f64 -1/8 (.f64 (pow.f64 y 4) x)) (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) 3))))
(fma.f64 (sqrt.f64 (.f64 z (neg.f64 z))) x (fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 (.f64 z (neg.f64 z)))) y) x) (.f64 (/.f64 (.f64 (pow.f64 y 4) -1/8) (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) 3)) x)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 (neg.f64 (pow.f64 z 2))))) (.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) x))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 y 4) x) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 z 2))) 3))))
(+.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (pow.f64 (sqrt.f64 (neg.f64 (.f64 z z))) 5)) (fma.f64 1/2 (/.f64 (.f64 y y) (/.f64 (sqrt.f64 (neg.f64 (.f64 z z))) x)) (.f64 (sqrt.f64 (neg.f64 (.f64 z z))) x))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 4) x) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 z z))) 3))))
(fma.f64 1/16 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (.f64 z (neg.f64 z))) 5) (pow.f64 y 6))) (fma.f64 1/2 (/.f64 (.f64 y (.f64 y x)) (sqrt.f64 (.f64 z (neg.f64 z)))) (fma.f64 (sqrt.f64 (.f64 z (neg.f64 z))) x (/.f64 (.f64 -1/8 (.f64 (pow.f64 y 4) x)) (pow.f64 (sqrt.f64 (.f64 z (neg.f64 z))) 3)))))
(fma.f64 1/16 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (.f64 z (neg.f64 z))) 5) (pow.f64 y 6))) (fma.f64 (sqrt.f64 (.f64 z (neg.f64 z))) x (fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 (.f64 z (neg.f64 z)))) y) x) (.f64 (/.f64 (.f64 (pow.f64 y 4) -1/8) (pow.f64 (sqrt.f64 (.f64 z (neg.f64 z))) 3)) x))))
(*.f64 y x)
(-.f64 (.f64 y x) (.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) x) y)))
(+.f64 (.f64 y x) (.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 y x))))
(fma.f64 y x (.f64 (/.f64 (.f64 z z) (/.f64 y x)) -1/2))
(fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 3)))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (*.f64 1/8 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (/.f64 (*.f64 1/8 (pow.f64 z 4)) (/.f64 (pow.f64 y 3) x))))
(fma.f64 y x (fma.f64 (.f64 (.f64 (/.f64 z y) z) x) -1/2 (.f64 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 3)) x) -1/8)))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3))) (.f64 1/16 (/.f64 (*.f64 (pow.f64 z 6) x) (pow.f64 y 5))))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (fma.f64 1/8 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) x)) (.f64 1/16 (/.f64 (.f64 (pow.f64 z 6) x) (pow.f64 y 5))))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 5)) x) (/.f64 (.f64 1/8 (pow.f64 z 4)) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (.f64 y x) (fma.f64 1/2 (.f64 (.f64 (/.f64 z y) z) x) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 3)) x) (.f64 1/16 (.f64 (/.f64 x (pow.f64 y 5)) (pow.f64 z 6))))))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (*.f64 y x))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (.f64 (neg.f64 y) x))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (.f64 x (neg.f64 y)))
(fma.f64 1/2 (.f64 (.f64 (/.f64 z y) z) x) (*.f64 x (neg.f64 y)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3)))) (*.f64 y x))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (.f64 1/8 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) x)))) (*.f64 y x))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (/.f64 (.f64 1/8 (pow.f64 z 4)) (/.f64 (pow.f64 y 3) x))) (*.f64 y x))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 z y) z) x) (.f64 1/8 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 3)) x))) (*.f64 y x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 z 6) x) (pow.f64 y 5))))) (*.f64 y x))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (fma.f64 1/8 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) x)) (.f64 1/16 (/.f64 (.f64 (pow.f64 z 6) x) (pow.f64 y 5))))) (.f64 y x))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 5)) x) (/.f64 (.f64 1/8 (pow.f64 z 4)) (/.f64 (pow.f64 y 3) x)))) (.f64 y x))
(fma.f64 1/2 (.f64 (.f64 (/.f64 z y) z) x) (-.f64 (fma.f64 1/8 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 3)) x) (.f64 1/16 (.f64 (/.f64 x (pow.f64 y 5)) (pow.f64 z 6)))) (.f64 y x)))
(*.f64 y x)
(-.f64 (.f64 y x) (.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) x) y)))
(+.f64 (.f64 y x) (.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 y x))))
(fma.f64 y x (.f64 (/.f64 (.f64 z z) (/.f64 y x)) -1/2))
(fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 3)))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (*.f64 1/8 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (/.f64 (*.f64 1/8 (pow.f64 z 4)) (/.f64 (pow.f64 y 3) x))))
(fma.f64 y x (fma.f64 (.f64 (.f64 (/.f64 z y) z) x) -1/2 (.f64 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 3)) x) -1/8)))
(-.f64 (.f64 y x) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) x) y)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 z 4) x) (pow.f64 y 3))) (.f64 1/16 (/.f64 (*.f64 (pow.f64 z 6) x) (pow.f64 y 5))))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (fma.f64 1/8 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) x)) (.f64 1/16 (/.f64 (.f64 (pow.f64 z 6) x) (pow.f64 y 5))))))
(-.f64 (.f64 y x) (fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 y x)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 5)) x) (/.f64 (.f64 1/8 (pow.f64 z 4)) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (.f64 y x) (fma.f64 1/2 (.f64 (.f64 (/.f64 z y) z) x) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 3)) x) (.f64 1/16 (.f64 (/.f64 x (pow.f64 y 5)) (pow.f64 z 6))))))
(.f64 (sqrt.f64 -1) (.f64 z x))
(.f64 z (.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (*.f64 (sqrt.f64 -1) z))))
(fma.f64 (sqrt.f64 -1) (.f64 z x) (.f64 1/2 (/.f64 (.f64 (.f64 y y) x) (*.f64 z (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y (sqrt.f64 -1))) x) (.f64 z (.f64 (sqrt.f64 -1) x)))
(fma.f64 z (.f64 (sqrt.f64 -1) x) (/.f64 (.f64 1/2 y) (/.f64 (.f64 z (sqrt.f64 -1)) (.f64 y x))))
(-.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z)))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))))
(-.f64 (fma.f64 (sqrt.f64 -1) (.f64 z x) (.f64 1/2 (/.f64 (.f64 (.f64 y y) x) (.f64 z (sqrt.f64 -1))))) (.f64 1/8 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (pow.f64 z 3)))))
(fma.f64 (sqrt.f64 -1) (.f64 z x) (fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y (sqrt.f64 -1))) x) (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) (neg.f64 (sqrt.f64 -1))) x) -1/8)))
(fma.f64 (.f64 (/.f64 (pow.f64 y 4) (neg.f64 (sqrt.f64 -1))) (/.f64 x (pow.f64 z 3))) -1/8 (fma.f64 z (.f64 (sqrt.f64 -1) x) (/.f64 (.f64 1/2 y) (/.f64 (.f64 z (sqrt.f64 -1)) (*.f64 y x)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z))) (.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 z 5)))))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))))
(+.f64 (fma.f64 (sqrt.f64 -1) (.f64 z x) (fma.f64 1/2 (/.f64 (.f64 (.f64 y y) x) (.f64 z (sqrt.f64 -1))) (.f64 1/16 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (pow.f64 z 5)))))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (pow.f64 z 3)))))
(fma.f64 (sqrt.f64 -1) (.f64 z x) (+.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (pow.f64 z 5))) (.f64 (/.f64 1/2 z) (/.f64 (.f64 y y) (/.f64 (sqrt.f64 -1) x)))) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) (neg.f64 (sqrt.f64 -1))) x) -1/8)))
(fma.f64 (.f64 (/.f64 (pow.f64 y 4) (neg.f64 (sqrt.f64 -1))) (/.f64 x (pow.f64 z 3))) -1/8 (fma.f64 z (.f64 (sqrt.f64 -1) x) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 y 6) (/.f64 (pow.f64 z 5) x)) (/.f64 (.f64 1/2 y) (/.f64 (.f64 z (sqrt.f64 -1)) (*.f64 y x))))))
(.f64 -1 (.f64 (sqrt.f64 -1) (*.f64 z x)))
(neg.f64 (.f64 (sqrt.f64 -1) (.f64 z x)))
(.f64 (neg.f64 (sqrt.f64 -1)) (.f64 z x))
(.f64 z (neg.f64 (.f64 x (sqrt.f64 -1))))
(neg.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (*.f64 (sqrt.f64 -1) z)))))
(neg.f64 (fma.f64 (sqrt.f64 -1) (.f64 z x) (.f64 1/2 (/.f64 (.f64 (.f64 y y) x) (*.f64 z (sqrt.f64 -1))))))
(-.f64 (.f64 (.f64 (.f64 (/.f64 y z) (/.f64 y (sqrt.f64 -1))) x) -1/2) (.f64 z (*.f64 (sqrt.f64 -1) x)))
(neg.f64 (fma.f64 z (.f64 (sqrt.f64 -1) x) (/.f64 (.f64 1/2 y) (/.f64 (.f64 z (sqrt.f64 -1)) (.f64 y x)))))
(-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))) (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z)))))
(-.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (pow.f64 z 3)))) (fma.f64 (sqrt.f64 -1) (.f64 z x) (.f64 1/2 (/.f64 (.f64 (.f64 y y) x) (*.f64 z (sqrt.f64 -1))))))
(-.f64 (.f64 1/8 (.f64 (/.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) (neg.f64 (sqrt.f64 -1))) x)) (fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y (sqrt.f64 -1))) x) (.f64 z (.f64 (sqrt.f64 -1) x))))
(-.f64 (.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 z 3) x))) (fma.f64 z (.f64 (sqrt.f64 -1) x) (/.f64 (.f64 1/2 y) (/.f64 (.f64 z (sqrt.f64 -1)) (*.f64 y x)))))
(-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 4) x) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 z 3)))) (+.f64 (.f64 (sqrt.f64 -1) (.f64 z x)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) x) (.f64 (sqrt.f64 -1) z))) (.f64 1/16 (/.f64 (.f64 (pow.f64 y 6) x) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 z 5)))))))
(-.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (pow.f64 z 3)))) (fma.f64 (sqrt.f64 -1) (.f64 z x) (fma.f64 1/2 (/.f64 (.f64 (.f64 y y) x) (.f64 z (sqrt.f64 -1))) (.f64 1/16 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (pow.f64 z 5)))))))
(-.f64 (.f64 1/8 (.f64 (/.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) (neg.f64 (sqrt.f64 -1))) x)) (fma.f64 (sqrt.f64 -1) (.f64 z x) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (pow.f64 z 5))) (.f64 (/.f64 1/2 z) (/.f64 (.f64 y y) (/.f64 (sqrt.f64 -1) x))))))
(-.f64 (.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 z 3) x))) (fma.f64 z (.f64 (sqrt.f64 -1) x) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 y 6) (/.f64 (pow.f64 z 5) x)) (/.f64 (.f64 1/2 y) (/.f64 (.f64 z (sqrt.f64 -1)) (*.f64 y x))))))

prune173.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	330	2	332
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	330	3	333

Error

Counts

333 → 3

Alt Table

Status	Error	Program
	31.7b	(*.f64 x (neg.f64 y))
✓	25.3b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
▶	28.5b	(fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x))

Compiler

Compiled 7790 to 2973 computations (61.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 y z) z)
✓	0.4b	(/.f64 -1/2 (/.f64 (/.f64 y z) z))
✓	3.5b	(*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x)

series17.0ms (0.6%)

Counts

3 → 84

Calls

21 calls:

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

rewrite62.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
187×	`log-div_binary64`
181×	`expm1-udef_binary64`
181×	`log1p-udef_binary64`
152×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	200	30
2	2785	30

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

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

Outputs

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

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

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

simplify100.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/r/_binary64`
438×	`associate-/l/_binary64`
313×	`*-commutative_binary64`
293×	`associate-l_binary64`
257×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	876
1	27	876
2	59	876
3	148	876
4	483	876
5	1835	876
6	3469	876
7	3951	876
8	4135	876
9	4339	876
10	4552	876
11	4821	876

Stop Event

1×	node limit

Counts

191 → 113

Calls

Call 1

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

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

prune52.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Error

Counts

116 → 3

Alt Table

Status	Error	Program
▶	31.7b	(*.f64 x (neg.f64 y))
✓	25.3b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	28.5b	(fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x))

Compiler

Compiled 1894 to 860 computations (54.6% saved)

localize3.0ms (0.1%)

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	31.7b	(*.f64 x (neg.f64 y))
✓	25.3b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	28.5b	(fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x))

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes470.0ms (16.3%)

Accuracy

Total 0.3b remaining (58.5%)

Threshold costs 0.3b (58.5%)

Counts

24 → 2

Compiler

Compiled 286 to 123 computations (57% saved)

bsearch10.0ms (0.4%)

Algorithm

1×	binary-search

Calls

1 calls:

10.0ms

Steps

Iters	Point		Range
-2.1422310913363246e-278	∈ [	-2.1422310913363246e-278	,	3.1357088696548637e-281	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	24	29
2	32	29
3	38	29
4	41	29
5	42	29

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 y -6840881863084145/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (*.f64 x (neg.f64 y)) (fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x)))

Outputs

(if (<=.f64 y -6840881863084145/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (*.f64 x (neg.f64 y)) (fma.f64 y x (*.f64 (/.f64 -1/2 (/.f64 (/.f64 y z) z)) x)))

(if (<=.f64 y -6840881863084145/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (*.f64 x (neg.f64 y)) (fma.f64 y x (*.f64 x (/.f64 -1/2 (/.f64 (/.f64 y z) z)))))

(if (<=.f64 y -6840881863084145/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (*.f64 y (neg.f64 x)) (fma.f64 y x (*.f64 x (/.f64 -1/2 (/.f64 (/.f64 y z) z)))))

end64.0ms (2.2%)

Stop Event

1×

done

Compiler

Compiled 81 to 50 computations (38.3% saved)

Details

analyze536.0ms (18.6%)

sample1.2s (40.3%)

preprocess38.0ms (1.3%)

simplify30.0ms (1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series14.0ms (0.5%)

rewrite78.0ms (2.7%)

simplify50.0ms (1.8%)

prune173.0ms (6%)

localize7.0ms (0.2%)

series17.0ms (0.6%)

rewrite62.0ms (2.1%)

simplify100.0ms (3.5%)

prune52.0ms (1.8%)

localize3.0ms (0.1%)

prune1.0ms (0%)

regimes470.0ms (16.3%)

bsearch10.0ms (0.4%)

simplify4.0ms (0.1%)

end64.0ms (2.2%)

Profiling