Details

analyze279.0ms (4.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
16%	15.6%	81.9%	0.1%	2.3%	0%	0%	9
22%	21.1%	74.5%	0.1%	4.3%	0%	0%	10
26.6%	25.4%	69.8%	0.1%	4.7%	0%	0%	11
43.2%	39.2%	51.6%	0.1%	9.1%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (17.1%)

Results

966.0ms	8256×	body	256	valid
153.0ms	1287×	body	256	infinite

Bogosity

preprocess79.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

588×	`fma-def_binary64`
495×	`associate-/l*_binary64`
457×	`associate-/r*_binary64`
444×	`sub-neg_binary64`
407×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	70	68
2	179	60
3	497	60
4	1218	56
5	2922	52
6	7054	52
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 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 y (.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 z (.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 z 1/4)) y)) z))

Outputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (.f64 4 (+.f64 x (-.f64 (.f64 y 1/4) z))) y))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 y (.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 4 (/.f64 x (-.f64 (+.f64 y (*.f64 x 1/4)) z))))
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z)))
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z) 1)
(fma.f64 (-.f64 (fma.f64 x 1/4 y) z) (/.f64 4 x) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 y z) x) x))
(+.f64 (*.f64 (/.f64 -4 x) (-.f64 z y)) 2)
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 z (.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 (*.f64 y 1/4) z) x))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 z) x) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 z x) y) y))
(+.f64 (*.f64 4 (/.f64 (-.f64 z x) y)) 2)
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 4 (/.f64 z (+.f64 x (-.f64 (*.f64 1/4 z) y)))))
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y)))
(fma.f64 (/.f64 4 z) (fma.f64 1/4 z (-.f64 x y)) 1)
(fma.f64 (-.f64 (fma.f64 1/4 z x) y) (/.f64 4 z) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x y) z) z))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 2)

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
616×	`associate-/l*_binary64`
577×	`associate-/r*_binary64`
410×	`fma-neg_binary64`
310×	`div-sub_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	140	15
4	346	14
5	770	11
6	2136	11
7	7691	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) z)))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

eval1.0ms (0%)

Compiler: Compiled 24 to 17 computations (29.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
✓	0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

Compiler

Compiled 57 to 37 computations (35.1% saved)

series35.0ms (0.5%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	z	@	0	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	y	@	-inf	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	x	@	0	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	z	@	inf	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	x	@	inf	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
694×	`fma-def_binary64`
352×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	295	31
2	4286	29

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))) (cbrt.f64 (exp.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (/.f64 y (fma.f64 y 1/4 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (fma.f64 y 1/4 (-.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y 1/4 (-.f64 x z)) (.f64 4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)) (cbrt.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (/.f64 y (fma.f64 y 1/4 (-.f64 x z))))) (/.f64 2 (sqrt.f64 (/.f64 y (fma.f64 y 1/4 (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (fma.f64 y 1/4 (-.f64 x z)))) (.f64 (.f64 2 (sqrt.f64 (fma.f64 y 1/4 (-.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 y 1/4 (-.f64 x z)) -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (.f64 4 (fma.f64 y 1/4 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) 1) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 y) (fma.f64 y 1/4 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (sqrt.f64 (fma.f64 y 1/4 (-.f64 x z)))) 1) (/.f64 (.f64 2 (sqrt.f64 (fma.f64 y 1/4 (-.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 y 1/4 (-.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 4 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (sqrt.f64 (fma.f64 y 1/4 (-.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 2 (sqrt.f64 (fma.f64 y 1/4 (-.f64 x z)))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (sqrt.f64 y)) (/.f64 (fma.f64 y 1/4 (-.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (/.f64 y (fma.f64 y 1/4 (-.f64 x z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64 (pow.f64 (/.f64 y (fma.f64 y 1/4 (-.f64 x z))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (/.f64 y (fma.f64 y 1/4 (-.f64 x z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 64 (pow.f64 (/.f64 y (fma.f64 y 1/4 (-.f64 x z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1)) 2) (cbrt.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1)) (sqrt.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 64 (pow.f64 (/.f64 y (fma.f64 y 1/4 (-.f64 x z))) 3))) (/.f64 1 (fma.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)) (/.f64 1 (-.f64 1 (.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))) -1)))))
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Outputs

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simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-def_binary64`
754×	`div-sub_binary64`
525×	`associate-/r*_binary64`
455×	`times-frac_binary64`
447×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	1241
1	100	1183
2	222	715
3	393	709
4	673	706
5	1580	706
6	6217	706

Stop Event

1×	node limit

Counts

181 → 136

Calls

Call 1

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

Outputs
(.f64 4 (/.f64 (-.f64 (.f64 1/4 y) z) y))
(fma.f64 (/.f64 z y) -4 1)
(/.f64 (fma.f64 z -4 y) y)
(fma.f64 z (/.f64 -4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 x y))
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 x y))
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(.f64 4 (/.f64 (+.f64 (.f64 1/4 y) x) y))
(*.f64 4 (/.f64 (fma.f64 1/4 y x) y))
(/.f64 (fma.f64 4 x y) y)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y))))
(.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(.f64 4 (+.f64 (/.f64 (-.f64 (.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 1 (.f64 4 (/.f64 (-.f64 (.f64 1/4 y) z) y)))
(+.f64 (.f64 4 (/.f64 (-.f64 (.f64 1/4 y) z) y)) 1)
(fma.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y) 1)
(+.f64 (*.f64 (/.f64 z y) -4) 2)
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 4 (/.f64 x y)) (.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (.f64 4 (/.f64 (+.f64 (.f64 1/4 y) x) y)))
(+.f64 1 (*.f64 4 (/.f64 (fma.f64 1/4 y x) y)))
(fma.f64 4 (/.f64 (fma.f64 1/4 y x) y) 1)
(+.f64 1 (/.f64 (fma.f64 4 x y) y))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (.f64 -4 (/.f64 z y)) (.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x z) y)
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
1.0ms	x	@	0	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
1.0ms	x	@	-inf	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
1.0ms	x	@	inf	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
1.0ms	z	@	inf	(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

rewrite149.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down_binary64`
541×	`prod-diff_binary64`
467×	`log-prod_binary64`
266×	`pow2_binary64`
204×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	199	18
2	2717	18

Stop Event

1×	node limit

Counts

2 → 237

Calls

Call 1

Inputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(/.f64 (-.f64 x z) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 4 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (/.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 4 (/.f64 (-.f64 x z) y)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2)) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 4 (/.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))) 2) 3) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 8) (+.f64 (pow.f64 (.f64 4 (/.f64 (-.f64 x z) y)) 2) (-.f64 4 (.f64 (.f64 4 (/.f64 (-.f64 x z) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 4 (/.f64 (-.f64 x z) y)) 2) 4) (fma.f64 4 (/.f64 (-.f64 x z) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x z) y) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x z) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x z) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 y) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x y) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 x (cbrt.f64 y)) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (.f64 (/.f64 1 y) z)))))) 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Outputs

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

simplify198.0ms (3%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-neg_binary64`
588×	`fma-def_binary64`
201×	`cancel-sign-sub-inv_binary64`
153×	`distribute-rgt-in_binary64`
128×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	765
1	46	671
2	85	617
3	138	509
4	236	509
5	412	509
6	725	509
7	1102	509
8	1823	509
9	2607	509
10	3182	509
11	3298	509
12	3329	509
13	3334	509
14	3338	509

Stop Event

1×

saturated

Counts

297 → 253

Calls

Call 1

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

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

eval458.0ms (6.9%)

Compiler: Compiled 10163 to 4525 computations (55.5% saved)

prune247.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	382	7	389
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	384	7	391

Error

0.0b

Counts

391 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.9b	(+.f64 1 (*.f64 z (/.f64 -4 y)))
	37.8b	2
▶	26.0b	(*.f64 4 (/.f64 (-.f64 x z) y))
▶	45.9b	(*.f64 -4 (/.f64 z y))
▶	17.4b	(+.f64 2 (*.f64 4 (/.f64 x y)))
▶	42.6b	(*.f64 4 (/.f64 x y))
	20.6b	(+.f64 2 (*.f64 -4 (/.f64 z y)))

Compiler

Compiled 116 to 90 computations (22.4% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 x y))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series7.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 4 (/.f64 x y))
1.0ms	y	@	inf	(*.f64 4 (/.f64 x y))
1.0ms	x	@	inf	(*.f64 4 (/.f64 x y))
1.0ms	y	@	0	(*.f64 4 (/.f64 x y))
1.0ms	x	@	-inf	(*.f64 4 (/.f64 x y))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
605×	`add-log-exp_binary64`
605×	`log1p-expm1-u_binary64`
605×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x y))))))))

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 4 (/.f64 x y))

Compiler

Compiled 14 to 7 computations (50% saved)

localize46.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 x z) y)

Compiler

Compiled 22 to 8 computations (63.6% saved)

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 z (/.f64 -4 y))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 z (/.f64 -4 y))
1.0ms	y	@	inf	(*.f64 z (/.f64 -4 y))
1.0ms	z	@	0	(*.f64 z (/.f64 -4 y))
1.0ms	z	@	inf	(*.f64 z (/.f64 -4 y))
1.0ms	y	@	-inf	(*.f64 z (/.f64 -4 y))

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1559	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 z (/.f64 -4 y))

Outputs

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

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))

Outputs
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))

eval205.0ms (3.1%)

Compiler: Compiled 7397 to 2794 computations (62.2% saved)

prune53.0ms (0.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	270	7	277

Error

0.0b

Counts

277 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.9b	(+.f64 1 (*.f64 z (/.f64 -4 y)))
	37.8b	2
✓	26.0b	(*.f64 4 (/.f64 (-.f64 x z) y))
✓	45.9b	(*.f64 -4 (/.f64 z y))
✓	17.4b	(+.f64 2 (*.f64 4 (/.f64 x y)))
✓	42.6b	(*.f64 4 (/.f64 x y))
▶	20.6b	(+.f64 2 (*.f64 -4 (/.f64 z y)))

Compiler

Compiled 60 to 47 computations (21.7% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 -4 (/.f64 z y)))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series5.0ms (0.1%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(+.f64 2 (*.f64 -4 (/.f64 z y)))
1.0ms	z	@	inf	(+.f64 2 (*.f64 -4 (/.f64 z y)))
1.0ms	z	@	0	(+.f64 2 (*.f64 -4 (/.f64 z y)))
1.0ms	z	@	-inf	(+.f64 2 (*.f64 -4 (/.f64 z y)))
0.0ms	y	@	inf	(+.f64 2 (*.f64 -4 (/.f64 z y)))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
900×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	8
2	2339	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f64 2 (*.f64 -4 (/.f64 z y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (*.f64 4 (/.f64 z y)))) (/.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (+.f64 2 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4 (/.f64 z y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4 (/.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2) (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64)) (/.f64 1 (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (/.f64 1 (+.f64 2 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y)))) (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 4 (/.f64 z y))) (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64)) (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64)) (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 -8 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (+.f64 2 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64))) (neg.f64 (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16))) (neg.f64 (+.f64 2 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 4) (-.f64 (*.f64 -4 (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (/.f64 z y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 z y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) -4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -4 (/.f64 z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 2) (cbrt.f64 (*.f64 -4 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)))))

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24
2	14	24
3	18	24
4	19	24

Stop Event

1×

saturated

Counts

39 → 35

Calls

Call 1

Inputs
2
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
2
2

Outputs
2
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
2
2

eval19.0ms (0.3%)

Compiler: Compiled 477 to 310 computations (35% saved)

prune15.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	35	7	42

Error

0.0b

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.9b	(+.f64 1 (*.f64 z (/.f64 -4 y)))
	37.8b	2
✓	26.0b	(*.f64 4 (/.f64 (-.f64 x z) y))
✓	45.9b	(*.f64 -4 (/.f64 z y))
✓	17.4b	(+.f64 2 (*.f64 4 (/.f64 x y)))
✓	42.6b	(*.f64 4 (/.f64 x y))
✓	20.6b	(+.f64 2 (*.f64 -4 (/.f64 z y)))

Compiler

Compiled 60 to 47 computations (21.7% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

0.0b

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.9b	(+.f64 1 (*.f64 z (/.f64 -4 y)))
	37.8b	2
✓	26.0b	(*.f64 4 (/.f64 (-.f64 x z) y))
✓	45.9b	(*.f64 -4 (/.f64 z y))
✓	17.4b	(+.f64 2 (*.f64 4 (/.f64 x y)))
✓	42.6b	(*.f64 4 (/.f64 x y))
✓	20.6b	(+.f64 2 (*.f64 -4 (/.f64 z y)))

Compiler

Compiled 60 to 47 computations (21.7% saved)

regimes89.0ms (1.3%)

Counts

9 → 1

Calls

Call 1

Inputs
2
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(+.f64 1 (*.f64 z (/.f64 -4 y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

Outputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

Calls

7 calls:

15.0ms	y
14.0ms	x
13.0ms	z
12.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
10.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))`
0.0b	1	`(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))`
0.0b	1	`(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)`
0.0b	1	`(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)`

Compiler

Compiled 135 to 92 computations (31.9% saved)

regimes62.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Calls

5 calls:

15.0ms	z
12.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
12.0ms	y
10.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
9.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))`
0.0b	1	`(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)`

Compiler

Compiled 97 to 67 computations (30.9% saved)

regimes100.0ms (1.5%)

Counts

7 → 9

Calls

Call 1

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

Outputs
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))

Calls

3 calls:

51.0ms	y
26.0ms	z
21.0ms	x

Results

Error	Segments	Branch
7.2b	3	`x`
6.2b	9	`y`
6.6b	5	`z`

Compiler

Compiled 54 to 36 computations (33.3% saved)

bsearch272.0ms (4.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
23.0ms	4.343291097166859e+167	3.394914433892294e+173
20.0ms	1.0684095434469317e+123	4.6341706522790656e+123
20.0ms	3.609789188594275e+59	2.0040462063884043e+64
22.0ms	1.607746740903345e+42	4.8761013143786347e+42
50.0ms	-1.7037910270426498e-85	-4.048004425237211e-100
91.0ms	-2.5367303985835207e-55	-2.1487396303690497e-60
20.0ms	-8.045502531107272e-8	-2.3925423309054102e-8
25.0ms	-3.9913364410382756e+98	-1.0103280494669297e+98

Compiler

Compiled 440 to 340 computations (22.7% saved)

regimes77.0ms (1.2%)

Counts

6 → 5

Calls

Call 1

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

Outputs
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))

Calls

3 calls:

31.0ms	x
25.0ms	z
19.0ms	y

Results

Error	Segments	Branch
13.2b	7	`x`
10.4b	3	`y`
9.0b	5	`z`

Compiler

Compiled 47 to 32 computations (31.9% saved)

bsearch82.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	4.24678093690221e+101	8.543312130482361e+104
21.0ms	6.069351854844009e+43	2.041775111534084e+44
20.0ms	3.173309821691398e-59	2.2485128793498566e-57
21.0ms	-2.3215100153730616e+27	-1.1124531371981533e+21

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes102.0ms (1.5%)

Counts

5 → 5

Calls

Call 1

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

Outputs
2
(*.f64 4 (/.f64 (-.f64 x z) y))
2
(*.f64 4 (/.f64 (-.f64 x z) y))
2

Calls

3 calls:

43.0ms	z
37.0ms	x
20.0ms	y

Results

Error	Segments	Branch
17.6b	9	`x`
13.1b	5	`y`
17.1b	9	`z`

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch83.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	1.1273240255917176e+211	2.417472272610528e+212
21.0ms	2.6382168105034965e+162	6.568400125860625e+163
21.0ms	1.0684095434469317e+123	4.6341706522790656e+123
20.0ms	-8.343911445290791e+141	-2.6172699389763023e+137

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes98.0ms (1.5%)

Counts

4 → 10

Calls

Call 1

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

Outputs
(*.f64 4 (/.f64 x y))
2
(+.f64 1 (*.f64 z (/.f64 -4 y)))
2
(+.f64 1 (*.f64 z (/.f64 -4 y)))
2
(+.f64 1 (*.f64 z (/.f64 -4 y)))
(*.f64 4 (/.f64 x y))
2
(*.f64 4 (/.f64 x y))

Calls

3 calls:

39.0ms	y
35.0ms	x
22.0ms	z

Results

Error	Segments	Branch
22.5b	10	`x`
23.7b	10	`y`
25.0b	5	`z`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch346.0ms (5.2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
76.0ms	5.739276645616698e+155	9.845778558979777e+175
127.0ms	3.037732473561059e+134	2.4360452861614233e+137
20.0ms	7.8906902107839725e+31	3.036545845105303e+32
20.0ms	3.0658758913738793e-15	1.1702031193618023e-14
21.0ms	6.223394143289802e-139	1.3034102455329104e-136
20.0ms	1.3072358521577175e-166	3.757958986200825e-165
21.0ms	-1.7452995820544977e-225	-5.46783009819123e-238
20.0ms	-5.4681720016314225e-92	-1.4126115380558321e-98
21.0ms	-1.4959794045287318e+105	-1.5420135474911203e+101

Compiler

Compiled 288 to 245 computations (14.9% saved)

regimes78.0ms (1.2%)

Counts

3 → 10

Calls

Call 1

Inputs
2
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))

Outputs
(*.f64 4 (/.f64 x y))
2
(*.f64 -4 (/.f64 z y))
2
(*.f64 -4 (/.f64 z y))
2
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
2
(*.f64 4 (/.f64 x y))

Calls

3 calls:

31.0ms	x
29.0ms	y
16.0ms	z

Results

Error	Segments	Branch
23.1b	10	`x`
25.1b	8	`y`
25.6b	5	`z`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch476.0ms (7.2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
117.0ms	5.739276645616698e+155	9.845778558979777e+175
196.0ms	3.037732473561059e+134	2.4360452861614233e+137
32.0ms	7.8906902107839725e+31	3.036545845105303e+32
27.0ms	3.0658758913738793e-15	1.1702031193618023e-14
20.0ms	6.223394143289802e-139	1.3034102455329104e-136
21.0ms	1.3072358521577175e-166	3.757958986200825e-165
20.0ms	-7.750173744281532e-199	-2.5993538714610666e-200
21.0ms	-5.4681720016314225e-92	-1.4126115380558321e-98
20.0ms	-1.4959794045287318e+105	-1.5420135474911203e+101

Compiler

Compiled 288 to 245 computations (14.9% saved)

regimes79.0ms (1.2%)

Accuracy

Total -32.9b remaining (-112.2%)

Threshold costs -32.9b (-112.2%)

Counts

2 → 5

Calls

Call 1

Inputs
2
(*.f64 -4 (/.f64 z y))

Outputs
(*.f64 -4 (/.f64 z y))
2
(*.f64 -4 (/.f64 z y))
2
(*.f64 -4 (/.f64 z y))

Calls

3 calls:

33.0ms	x
23.0ms	z
20.0ms	y

Results

Error	Segments	Branch
33.5b	7	`x`
30.7b	3	`y`
29.3b	5	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch601.0ms (9.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	8.543312130482361e+104	3.796901445247623e+118
305.0ms	6.069351854844009e+43	2.041775111534084e+44
229.0ms	3.173309821691398e-59	2.2485128793498566e-57
34.0ms	-2.3215100153730616e+27	-1.1124531371981533e+21

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	546
1	133	546
2	138	546
3	140	546
4	141	546

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(if (<=.f64 y -399133644103827560375299381600578833747116135393421909095626858485240565372358180755994581424668672) (+.f64 2 (.f64 4 (/.f64 x y))) (if (<=.f64 y -1519752459629755/18889465931478580854784) (+.f64 2 (.f64 -4 (/.f64 z y))) (if (<=.f64 y -1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -2019352817565217/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 2 (.f64 -4 (/.f64 z y))) (if (<=.f64 y 1607746740903345029194347165156790151151616) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 360978918859427498031472980989096958380847237229022367711232) (+.f64 2 (.f64 4 (/.f64 x y))) (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 434329109716685912921609313667669209914161536283148057959755232858917901237254487849795097148159250581096434811745971754513551547763040459148804284796051601850344931328) (+.f64 2 (.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))))))))
(if (<=.f64 z -2321510015373061645265797120) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 2 (.f64 4 (/.f64 x y))) (if (<=.f64 z 60693518548440088609561682826869738552950784) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 424678093690220985938124159299505948261431809747996336763564021974823247863676344897452383366249709568) (+.f64 2 (.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 (-.f64 x z) y))))))
(if (<=.f64 y -8343911445290791170685439679850583938083678914495322316307840864614430008823872630137027518211775720628838864577401707805392817116279683940352) 2 (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 2638216810503496541012019254871677528559720996055309032806350534531330471447822576037418938030296106317885596137546552232343361550913881417950415010672768616235008) 2 (if (<=.f64 y 11273240255917176468795082117148214107574079398909312642318037114300734900236159752197711154347364701304403067251490781215269798899849673898949061012416641529835469321791975189803094066944161968734714109618028544) (.f64 4 (/.f64 (-.f64 x z) y)) 2))))
(if (<=.f64 x -1495979404528731754017927469470919396318116593405690014654570859936973407066646204800527884605115722629120) (.f64 4 (/.f64 x y)) (if (<=.f64 x -8026396747351889/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 2 (if (<=.f64 x -1454710350354821/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (+.f64 1 (.f64 z (/.f64 -4 y))) (if (<=.f64 x 8679032833164577/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) 2 (if (<=.f64 x 2086051833638983/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (+.f64 1 (.f64 z (/.f64 -4 y))) (if (<=.f64 x 971614853481339/316912650057057350374175801344) 2 (if (<=.f64 x 78906902107839725419634918162432) (+.f64 1 (.f64 z (/.f64 -4 y))) (if (<=.f64 x 309999999999999981711579465745359883529465024238273711123810796198022343180604872758000375108921327140184326569620363448548561097064448) (.f64 4 (/.f64 x y)) (if (<=.f64 x 98000000000000000167635864885383801509998190520401347132532829260899126404251537129364850300706907934149543292086538192064978686425245881541842528692603944909396414333177561088) 2 (.f64 4 (/.f64 x y)))))))))))
(if (<=.f64 x -1495979404528731754017927469470919396318116593405690014654570859936973407066646204800527884605115722629120) (.f64 4 (/.f64 x y)) (if (<=.f64 x -8026396747351889/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 2 (if (<=.f64 x -2087268718363283/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512) (.f64 -4 (/.f64 z y)) (if (<=.f64 x 8679032833164577/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) 2 (if (<=.f64 x 2086051833638983/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 -4 (/.f64 z y)) (if (<=.f64 x 971614853481339/316912650057057350374175801344) 2 (if (<=.f64 x 78906902107839725419634918162432) (.f64 -4 (/.f64 z y)) (if (<=.f64 x 309999999999999981711579465745359883529465024238273711123810796198022343180604872758000375108921327140184326569620363448548561097064448) (.f64 4 (/.f64 x y)) (if (<=.f64 x 98000000000000000167635864885383801509998190520401347132532829260899126404251537129364850300706907934149543292086538192064978686425245881541842528692603944909396414333177561088) 2 (.f64 4 (/.f64 x y)))))))))))
(if (<=.f64 z -2321510015373061645265797120) (.f64 -4 (/.f64 z y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) 2 (if (<=.f64 z 60693518548440088609561682826869738552950784) (.f64 -4 (/.f64 z y)) (if (<=.f64 z 854331213048236093776841357122177004242246999429873007219175479900229455413480730670316242875046372048896) 2 (*.f64 -4 (/.f64 z y))))))
2

Outputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(if (<=.f64 y -399133644103827560375299381600578833747116135393421909095626858485240565372358180755994581424668672) (+.f64 2 (.f64 4 (/.f64 x y))) (if (<=.f64 y -1519752459629755/18889465931478580854784) (+.f64 2 (.f64 -4 (/.f64 z y))) (if (<=.f64 y -1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -2019352817565217/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 2 (.f64 -4 (/.f64 z y))) (if (<=.f64 y 1607746740903345029194347165156790151151616) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 360978918859427498031472980989096958380847237229022367711232) (+.f64 2 (.f64 4 (/.f64 x y))) (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 434329109716685912921609313667669209914161536283148057959755232858917901237254487849795097148159250581096434811745971754513551547763040459148804284796051601850344931328) (+.f64 2 (.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))))))))
(if (<=.f64 z -2321510015373061645265797120) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 2 (.f64 4 (/.f64 x y))) (if (<=.f64 z 60693518548440088609561682826869738552950784) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 z 424678093690220985938124159299505948261431809747996336763564021974823247863676344897452383366249709568) (+.f64 2 (.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 (-.f64 x z) y))))))
(if (<=.f64 y -8343911445290791170685439679850583938083678914495322316307840864614430008823872630137027518211775720628838864577401707805392817116279683940352) 2 (if (<=.f64 y 1068409543446931721897624965066522448973030438582185498499688995534073869038991584423168556398128538152151830026603018059776) (.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y 2638216810503496541012019254871677528559720996055309032806350534531330471447822576037418938030296106317885596137546552232343361550913881417950415010672768616235008) 2 (if (<=.f64 y 11273240255917176468795082117148214107574079398909312642318037114300734900236159752197711154347364701304403067251490781215269798899849673898949061012416641529835469321791975189803094066944161968734714109618028544) (.f64 4 (/.f64 (-.f64 x z) y)) 2))))
(if (<=.f64 x -1495979404528731754017927469470919396318116593405690014654570859936973407066646204800527884605115722629120) (.f64 4 (/.f64 x y)) (if (<=.f64 x -8026396747351889/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 2 (if (<=.f64 x -1454710350354821/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (+.f64 1 (.f64 z (/.f64 -4 y))) (if (<=.f64 x 8679032833164577/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) 2 (if (<=.f64 x 2086051833638983/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (+.f64 1 (.f64 z (/.f64 -4 y))) (if (<=.f64 x 971614853481339/316912650057057350374175801344) 2 (if (<=.f64 x 78906902107839725419634918162432) (+.f64 1 (.f64 z (/.f64 -4 y))) (if (<=.f64 x 309999999999999981711579465745359883529465024238273711123810796198022343180604872758000375108921327140184326569620363448548561097064448) (.f64 4 (/.f64 x y)) (if (<=.f64 x 98000000000000000167635864885383801509998190520401347132532829260899126404251537129364850300706907934149543292086538192064978686425245881541842528692603944909396414333177561088) 2 (.f64 4 (/.f64 x y)))))))))))
(if (<=.f64 x -1495979404528731754017927469470919396318116593405690014654570859936973407066646204800527884605115722629120) (.f64 4 (/.f64 x y)) (if (<=.f64 x -8026396747351889/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 2 (if (<=.f64 x -2087268718363283/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512) (.f64 -4 (/.f64 z y)) (if (<=.f64 x 8679032833164577/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) 2 (if (<=.f64 x 2086051833638983/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 -4 (/.f64 z y)) (if (<=.f64 x 971614853481339/316912650057057350374175801344) 2 (if (<=.f64 x 78906902107839725419634918162432) (.f64 -4 (/.f64 z y)) (if (<=.f64 x 309999999999999981711579465745359883529465024238273711123810796198022343180604872758000375108921327140184326569620363448548561097064448) (.f64 4 (/.f64 x y)) (if (<=.f64 x 98000000000000000167635864885383801509998190520401347132532829260899126404251537129364850300706907934149543292086538192064978686425245881541842528692603944909396414333177561088) 2 (.f64 4 (/.f64 x y)))))))))))
(if (<=.f64 z -2321510015373061645265797120) (.f64 -4 (/.f64 z y)) (if (<=.f64 z 7176644024432467/226156424291633194186662080095093570025917938800079226639565593765455331328) 2 (if (<=.f64 z 60693518548440088609561682826869738552950784) (.f64 -4 (/.f64 z y)) (if (<=.f64 z 854331213048236093776841357122177004242246999429873007219175479900229455413480730670316242875046372048896) 2 (*.f64 -4 (/.f64 z y))))))
2

Compiler

Compiled 407 to 269 computations (33.9% saved)

soundness245.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
616×	`associate-/l*_binary64`
577×	`associate-/r*_binary64`
410×	`fma-neg_binary64`
310×	`div-sub_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	17
2	55	15
3	140	15
4	346	14
5	770	11
6	2136	11
7	7691	11

Stop Event

1×	node limit

Compiler

Compiled 534 to 405 computations (24.2% saved)

end184.0ms (2.8%)

Compiler: Compiled 383 to 234 computations (38.9% saved)

Details

analyze279.0ms (4.2%)

sample1.1s (17.1%)

preprocess79.0ms (1.2%)

simplify79.0ms (1.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize21.0ms (0.3%)

series35.0ms (0.5%)

rewrite82.0ms (1.2%)

simplify113.0ms (1.7%)

localize11.0ms (0.2%)

series9.0ms (0.1%)

rewrite149.0ms (2.3%)

simplify198.0ms (3%)

eval458.0ms (6.9%)

prune247.0ms (3.7%)

localize17.0ms (0.2%)

series7.0ms (0.1%)

rewrite74.0ms (1.1%)

simplify12.0ms (0.2%)

localize9.0ms (0.1%)

localize10.0ms (0.1%)

localize46.0ms (0.7%)

localize19.0ms (0.3%)

series7.0ms (0.1%)

rewrite78.0ms (1.2%)

simplify37.0ms (0.6%)

eval205.0ms (3.1%)

prune53.0ms (0.8%)

localize15.0ms (0.2%)

series5.0ms (0.1%)

rewrite72.0ms (1.1%)

simplify15.0ms (0.2%)

eval19.0ms (0.3%)

prune15.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes89.0ms (1.3%)

regimes62.0ms (0.9%)

regimes100.0ms (1.5%)

bsearch272.0ms (4.1%)

regimes77.0ms (1.2%)

bsearch82.0ms (1.2%)

regimes102.0ms (1.5%)

bsearch83.0ms (1.2%)

regimes98.0ms (1.5%)

bsearch346.0ms (5.2%)

regimes78.0ms (1.2%)

bsearch476.0ms (7.2%)

regimes79.0ms (1.2%)

bsearch601.0ms (9.1%)

simplify41.0ms (0.6%)

soundness245.0ms (3.7%)

end184.0ms (2.8%)

Profiling