Details

analyze328.0ms (3.7%)

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%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.6s (17.8%)

Results

1.1s	8256×	body	256	valid
488.0ms	3831×	body	256	invalid

preprocess37.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

679×	`div-sub_binary64`
433×	`cancel-sign-sub-inv_binary64`
424×	`distribute-rgt-in_binary64`
405×	`fma-neg_binary64`
372×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	80	80
2	214	80
3	441	80
4	1098	80
5	3253	76
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 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y 2))
(/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 x 2))
(/.f64 (-.f64 (+.f64 (.f64 z z) (.f64 y y)) (.f64 x x)) (.f64 y 2))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 z z)) (.f64 y y)) (.f64 z 2))

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

801×	`div-sub_binary64`
796×	`fma-def_binary64`
540×	`times-frac_binary64`
430×	`associate-/l*_binary64`
415×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	27	20
2	67	20
3	136	20
4	320	20
5	748	20
6	1891	19
7	4408	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 31 to 18 computations (41.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.4b	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y 2))
▶	0.1b	(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
	0.0b	(/.f64 (+.f64 x z) y)
✓	0.0b	(/.f64 (+.f64 x z) y)
✓	0.1b	(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))

Compiler

Compiled 44 to 11 computations (75% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`prod-diff_binary64`
487×	`log-prod_binary64`
354×	`fma-def_binary64`
263×	`pow2_binary64`
182×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	21
2	3143	21

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

Inputs
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))
(/.f64 (+.f64 x z) y)

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
398×	`associate-/l*_binary64`
270×	`associate-*l/_binary64`
238×	`distribute-rgt-in_binary64`
221×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	1045
1	149	898
2	418	814
3	1319	747
4	4113	747

Stop Event

1×	node limit

Counts

200 → 157

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	24.6b	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y 2))
	2.8b	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
	0.0b	(+.f64 (.f64 x x) (.f64 y y))
✓	0.0b	(+.f64 (.f64 x x) (.f64 y y))
✓	2.8b	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	24.6b	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y 2))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
523×	`fma-def_binary64`
276×	`fma-neg_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	274	39
2	4152	39

Stop Event

1×	node limit

Counts

3 → 261

Calls

Call 1

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

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

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

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

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
644×	`associate-/r/_binary64`
602×	`associate-/l/_binary64`
507×	`associate-*l/_binary64`
365×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	1465
1	107	1371
2	249	1290
3	643	1206
4	2341	1149

Stop Event

1×	node limit

Counts

357 → 292

Calls

Call 1

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

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

eval232.0ms (2.6%)

Compiler: Compiled 10055 to 4388 computations (56.4% saved)

prune139.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	432	17	449
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	434	17	451

Error

0.0b

Counts

451 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	48.7b	(.f64 -1/2 (.f64 x (/.f64 (neg.f64 x) y)))
	52.1b	(/.f64 (.f64 x x) (.f64 y 2))
	35.6b	(.f64 -1/2 (.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)))
▶	0.1b	(.f64 -1/2 (-.f64 (.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) y))
	36.9b	(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (*.f64 y 2))
▶	48.7b	(*.f64 1/2 (/.f64 x (/.f64 y x)))
	45.3b	(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z)))) (-.f64 (.f64 x x) (.f64 (+.f64 y z) (-.f64 y z)))) (.f64 y 2))
	14.1b	(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))
▶	0.2b	(.f64 -1/2 (fma.f64 (.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y)))
▶	27.8b	(*.f64 1/2 y)
	31.9b	(.f64 -1/2 (fma.f64 (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x z) (sqrt.f64 y))) (-.f64 z x) (neg.f64 y)))
▶	42.0b	(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 1/2 y))
	26.5b	(pow.f64 (/.f64 (+.f64 y y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) -1)
	49.8b	(*.f64 -1/2 (/.f64 z (/.f64 y z)))
	49.8b	(.f64 z (.f64 -1/2 (/.f64 z y)))
	37.4b	(/.f64 (fma.f64 x x (.f64 y y)) (.f64 y 2))
	47.7b	(/.f64 (.f64 y y) (.f64 y 2))

Compiler

Compiled 492 to 310 computations (37% saved)

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 51 to 11 computations (78.4% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

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

rewrite113.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
483×	`pow-prod-down_binary64`
477×	`fma-def_binary64`
300×	`pow2_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	212	36
2	3370	36

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (+.f64 z x) y)) (*.f64 (neg.f64 x) (/.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 z x) y) z) (*.f64 (/.f64 (+.f64 z x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (*.f64 (/.f64 y (+.f64 z x)) (fma.f64 x (+.f64 z x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (/.f64 y (+.f64 z x)) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (+.f64 z x)) (*.f64 (fma.f64 x (+.f64 z x) (*.f64 z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 z x)) (*.f64 (+.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 z x) (*.f64 z z)) (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-def_binary64`
374×	`associate-/l*_binary64`
247×	`associate-*l/_binary64`
234×	`*-commutative_binary64`
218×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1719
1	132	1397
2	341	1213
3	1120	1071
4	3793	1071

Stop Event

1×	node limit

Counts

302 → 237

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 x (/.f64 y x))
	0.0b	(*.f64 1/2 (/.f64 x (/.f64 y x)))
✓	0.0b	(*.f64 1/2 (/.f64 x (/.f64 y x)))
✓	0.2b	(/.f64 x (/.f64 y x))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(*.f64 1/2 (/.f64 x (/.f64 y x)))
1.0ms	x	@	0	(/.f64 x (/.f64 y x))
1.0ms	x	@	inf	(/.f64 x (/.f64 y x))
1.0ms	y	@	0	(/.f64 x (/.f64 y x))
1.0ms	y	@	inf	(/.f64 x (/.f64 y x))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
776×	`add-log-exp_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	17
2	2093	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-/l/_binary64`
634×	`sqr-pow_binary64`
594×	`*-commutative_binary64`
528×	`associate-l_binary64`
439×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	16	408
2	30	408
3	61	408
4	166	408
5	592	408
6	2549	408
7	3618	408
8	3826	408
9	4045	408
10	4273	408
11	4606	408
12	6141	408
13	6805	408
14	7595	408

Stop Event

1×	node limit

Counts

108 → 63

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.1b	(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 1/2 y))
	1.6b	(-.f64 (.f64 x x) (.f64 z z))
✓	1.6b	(-.f64 (.f64 x x) (.f64 z z))
✓	11.1b	(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 1/2 y))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`prod-diff_binary64`
530×	`log-prod_binary64`
430×	`fma-def_binary64`
290×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	228	26
2	3144	26

Stop Event

1×	node limit

Counts

2 → 288

Calls

Call 1

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

Outputs

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simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

676×	`associate-/r/_binary64`
631×	`distribute-rgt-in_binary64`
583×	`distribute-lft-in_binary64`
423×	`associate-l_binary64`
402×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	870
1	45	870
2	101	870
3	238	750
4	765	750
5	3236	750

Stop Event

1×	node limit

Counts

348 → 300

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (/.f64 1 y) (+.f64 x z))
	0.1b	(fma.f64 (*.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y))
✓	0.1b	(fma.f64 (*.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y))
✓	0.3b	(*.f64 (/.f64 1 y) (+.f64 x z))

Compiler

Compiled 54 to 23 computations (57.4% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 1 y) (+.f64 x z))
0.0ms	x	@	inf	(fma.f64 (*.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y))
0.0ms	z	@	inf	(fma.f64 (*.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y))
0.0ms	z	@	-inf	(fma.f64 (*.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y))
0.0ms	z	@	0	(fma.f64 (*.f64 (/.f64 1 y) (+.f64 x z)) (-.f64 z x) (neg.f64 y))

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
453×	`pow-prod-down_binary64`
402×	`fma-def_binary64`
298×	`pow2_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	244	21
2	3597	21

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-def_binary64`
398×	`associate-/l*_binary64`
270×	`associate-*l/_binary64`
238×	`distribute-rgt-in_binary64`
222×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	772
1	149	751
2	408	751
3	1315	747
4	4114	747

Stop Event

1×	node limit

Counts

181 → 136

Calls

Call 1

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

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

eval256.0ms (2.9%)

Compiler: Compiled 15205 to 5445 computations (64.2% saved)

prune130.0ms (1.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	727	9	736
Fresh	6	6	12
Picked	1	0	1
Done	2	2	4
Total	736	17	753

Error

Counts

753 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	35.6b	(.f64 -1/2 (.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)))
▶	14.1b	(*.f64 -1/2 (-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y))
	36.9b	(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (*.f64 y 2))
✓	48.7b	(*.f64 1/2 (/.f64 x (/.f64 y x)))
	36.0b	(pow.f64 (cbrt.f64 (.f64 (+.f64 x z) (.f64 (-.f64 x z) (/.f64 1/2 y)))) 3)
	49.8b	(.f64 -1/2 (.f64 z (/.f64 z y)))
	49.8b	(*.f64 -1/2 (/.f64 z (/.f64 y z)))
	48.7b	(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x))
▶	52.7b	(.f64 (.f64 z (neg.f64 z)) (/.f64 1/2 y))
✓	27.8b	(*.f64 1/2 y)
▶	52.1b	(/.f64 (.f64 x x) (.f64 y 2))
	14.1b	(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))
	35.6b	(+.f64 0 (.f64 (+.f64 x z) (.f64 (-.f64 x z) (/.f64 1/2 y))))
	48.7b	(.f64 1/2 (.f64 (/.f64 x y) x))
	52.1b	(/.f64 1/2 (/.f64 y (*.f64 x x)))
▶	47.7b	(/.f64 (.f64 y y) (.f64 y 2))
▶	0.1b	(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))

Compiler

Compiled 386 to 266 computations (31.1% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))
	0.0b	(/.f64 y (+.f64 z x))
	0.0b	(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
✓	0.0b	(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)
✓	0.0b	(/.f64 y (+.f64 z x))
✓	0.2b	(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))

Compiler

Compiled 51 to 11 computations (78.4% saved)

series12.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
515×	`fma-def_binary64`
379×	`fma-neg_binary64`
321×	`pow2_binary64`
249×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	220	36
2	3751	36

Stop Event

1×	node limit

Counts

3 → 285

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 (+.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (-.f64 z x) y)) (*.f64 x (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 z x) y)) (*.f64 z (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) z) (*.f64 (/.f64 (-.f64 z x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) x) (*.f64 (/.f64 (-.f64 z x) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-/r/_binary64`
546×	`associate-/l/_binary64`
296×	`times-frac_binary64`
274×	`*-commutative_binary64`
270×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	2130
1	239	1775
2	737	1534
3	3251	1357

Stop Event

1×	node limit

Counts

381 → 326

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	27.0b	(/.f64 (.f64 y y) (.f64 y 2))
✓	27.0b	(/.f64 (.f64 y y) (.f64 y 2))

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
602×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	132	4
2	1825	4

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 (.f64 y y) (.f64 y 2))

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

49 → 37

Calls

Call 1

Inputs
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)

Outputs
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	8.2b	(/.f64 (.f64 x x) (.f64 y 2))
✓	8.2b	(/.f64 (.f64 x x) (.f64 y 2))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x x) (.f64 y 2))
0.0ms	y	@	-inf	(/.f64 (.f64 x x) (.f64 y 2))
0.0ms	x	@	inf	(/.f64 (.f64 x x) (.f64 y 2))
0.0ms	y	@	0	(/.f64 (.f64 x x) (.f64 y 2))
0.0ms	y	@	inf	(/.f64 (.f64 x x) (.f64 y 2))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
751×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	151	10
2	2074	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (.f64 y 2))

Outputs

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

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

726×	`associate-/l/_binary64`
577×	`*-commutative_binary64`
536×	`associate-l_binary64`
492×	`sqr-pow_binary64`
443×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	16	240
2	30	240
3	61	240
4	163	240
5	593	240
6	2596	240
7	3665	240
8	3873	240
9	4092	240
10	4320	240
11	4652	240
12	6212	240
13	6878	240
14	7666	240

Stop Event

1×	node limit

Counts

64 → 42

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	7.8b	(.f64 (.f64 z (neg.f64 z)) (/.f64 1/2 y))
✓	7.8b	(.f64 (.f64 z (neg.f64 z)) (/.f64 1/2 y))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
673×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	174	10
2	2270	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-/l/_binary64`
636×	`sqr-pow_binary64`
589×	`*-commutative_binary64`
498×	`associate-l_binary64`
437×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	16	240
2	31	240
3	62	240
4	167	240
5	588	240
6	2447	240
7	3516	240
8	3724	240
9	3943	240
10	4171	240
11	4503	240
12	6038	240
13	6702	240
14	7490	240

Stop Event

1×	node limit

Counts

47 → 25

Calls

Call 1

Inputs
(*.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))

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 x (/.f64 y (neg.f64 x)))
	0.0b	(-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y)
✓	0.0b	(-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y)
✓	0.2b	(/.f64 x (/.f64 y (neg.f64 x)))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
826×	`add-log-exp_binary64`
825×	`log1p-expm1-u_binary64`
825×	`expm1-log1p-u_binary64`
807×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	165	17
2	2756	17

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y)

Outputs

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
697×	`div-sub_binary64`
674×	`times-frac_binary64`
518×	`distribute-rgt-neg-in_binary64`
318×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	486
1	28	468
2	54	468
3	98	432
4	258	432
5	886	432
6	3975	432

Stop Event

1×	node limit

Counts

123 → 82

Calls

Call 1

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

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

eval144.0ms (1.6%)

Compiler: Compiled 9548 to 3445 computations (63.9% saved)

prune139.0ms (1.6%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	506	6	512
Fresh	3	7	10
Picked	0	1	1
Done	1	5	6
Total	510	19	529

Error

Counts

529 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	35.6b	(.f64 -1/2 (.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)))
✓	14.1b	(*.f64 -1/2 (-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y))
▶	47.7b	(.f64 (/.f64 1/2 y) (.f64 y y))
▶	36.9b	(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (*.f64 y 2))
✓	48.7b	(*.f64 1/2 (/.f64 x (/.f64 y x)))
	36.0b	(pow.f64 (cbrt.f64 (.f64 (+.f64 x z) (.f64 (-.f64 x z) (/.f64 1/2 y)))) 3)
	49.8b	(.f64 -1/2 (.f64 z (/.f64 z y)))
	49.8b	(*.f64 -1/2 (/.f64 z (/.f64 y z)))
	48.7b	(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x))
	49.8b	(neg.f64 (.f64 z (.f64 z (/.f64 1/2 y))))
▶	27.8b	(.f64 y (.f64 y (/.f64 1/2 y)))
✓	52.7b	(.f64 (.f64 z (neg.f64 z)) (/.f64 1/2 y))
✓	27.8b	(*.f64 1/2 y)
✓	52.1b	(/.f64 (.f64 x x) (.f64 y 2))
	48.7b	(.f64 (/.f64 x (.f64 y 2)) x)
	48.7b	(.f64 x (.f64 x (/.f64 1/2 y)))
▶	14.1b	(.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y))
▶	52.1b	(/.f64 1/2 (/.f64 y (*.f64 x x)))
✓	0.1b	(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))

Compiler

Compiled 366 to 254 computations (30.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (/.f64 z y))
	0.0b	(-.f64 (*.f64 z (/.f64 z y)) y)
✓	0.0b	(-.f64 (*.f64 z (/.f64 z y)) y)
✓	0.1b	(*.f64 z (/.f64 z y))

Compiler

Compiled 30 to 9 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`pow1_binary64`
762×	`add-log-exp_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	137	17
2	2026	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

563×	`div-sub_binary64`
550×	`associate-/r/_binary64`
440×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
392×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	18	378
2	30	378
3	52	378
4	111	378
5	342	378
6	1564	378
7	5626	378

Stop Event

1×	node limit

Counts

105 → 63

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.9b	(/.f64 y (*.f64 x x))
	0.5b	(/.f64 1/2 (/.f64 y (*.f64 x x)))
✓	0.5b	(/.f64 1/2 (/.f64 y (*.f64 x x)))
✓	7.9b	(/.f64 y (*.f64 x x))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
758×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	17
2	2097	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-/l/_binary64`
567×	`*-commutative_binary64`
549×	`associate-l_binary64`
498×	`associate-*r/_binary64`
495×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	17	408
2	31	408
3	64	408
4	171	408
5	591	408
6	2664	408
7	3794	408
8	4002	408
9	4221	408
10	4449	408
11	4780	408
12	6321	408
13	6997	408
14	7825	408

Stop Event

1×	node limit

Counts

107 → 63

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y (/.f64 1/2 y))
✓	0.2b	(*.f64 y (/.f64 1/2 y))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`pow1_binary64`
515×	`add-sqr-sqrt_binary64`
493×	`add-log-exp_binary64`
493×	`log1p-expm1-u_binary64`
493×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1342	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 y (/.f64 1/2 y))

Outputs

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

32 → 21

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	27.0b	(.f64 (/.f64 1/2 y) (.f64 y y))
✓	27.0b	(.f64 (/.f64 1/2 y) (.f64 y y))

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (/.f64 1/2 y) (.f64 y y))
0.0ms	y	@	-inf	(.f64 (/.f64 1/2 y) (.f64 y y))
0.0ms	y	@	inf	(.f64 (/.f64 1/2 y) (.f64 y y))

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`pow1_binary64`
582×	`add-log-exp_binary64`
582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
569×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	131	10
2	1635	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (/.f64 1/2 y) (.f64 y y))

Outputs

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

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

33 → 22

Calls

Call 1

Inputs
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)

Outputs
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)
(*.f64 1/2 y)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.1b	(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (*.f64 y 2))
	2.6b	(-.f64 (.f64 y y) (.f64 z z))
✓	2.6b	(-.f64 (.f64 y y) (.f64 z z))
✓	24.1b	(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (*.f64 y 2))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
411×	`fma-def_binary64`
335×	`pow-prod-down_binary64`
274×	`pow2_binary64`
196×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	210	26
2	3208	23

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 y) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 y (/.f64 (*.f64 z z) y))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 y (/.f64 (*.f64 z z) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 y (/.f64 (*.f64 z z) y)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 y (/.f64 (*.f64 z z) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 y) (*.f64 (*.f64 z z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2) 2)) (cbrt.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2)) (sqrt.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (*.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y z) (neg.f64 (-.f64 y z))) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (-.f64 (*.f64 y y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y z) (*.f64 (-.f64 y z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 y (/.f64 (*.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2)) y) (/.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) y) (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) 2) (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) 2) (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) 1) (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) 1) (/.f64 (-.f64 y z) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) -2) (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (cbrt.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2)) (pow.f64 (cbrt.f64 (+.f64 y y)) 2)) (cbrt.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (pow.f64 (cbrt.f64 (+.f64 y y)) 2)) (/.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (cbrt.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (+.f64 y y)) 2)) (/.f64 (-.f64 y z) (cbrt.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y y) -1/2) (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (sqrt.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 2)) (sqrt.f64 (+.f64 y y))) (/.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (sqrt.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) 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simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
502×	`difference-of-squares_binary64`
360×	`times-frac_binary64`
320×	`distribute-rgt-neg-in_binary64`
274×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	522
1	33	504
2	64	504
3	149	504
4	504	504
5	2761	504
6	4030	504

Stop Event

1×	node limit

Counts

275 → 240

Calls

Call 1

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

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

eval178.0ms (2%)

Compiler: Compiled 6565 to 2672 computations (59.3% saved)

prune112.0ms (1.3%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	407	2	409
Fresh	2	6	8
Picked	0	1	1
Done	0	10	10
Total	409	19	428

Error

Counts

428 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	49.8b	(*.f64 -1/2 (/.f64 z (/.f64 y z)))
✓	52.1b	(/.f64 (.f64 x x) (.f64 y 2))
	35.6b	(.f64 -1/2 (.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)))
✓	14.1b	(*.f64 -1/2 (-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y))
✓	47.7b	(.f64 (/.f64 1/2 y) (.f64 y y))
✓	36.9b	(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (*.f64 y 2))
✓	48.7b	(*.f64 1/2 (/.f64 x (/.f64 y x)))
	48.7b	(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x))
	39.4b	(*.f64 -1/2 (-.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) 2) y))
	49.8b	(neg.f64 (.f64 z (.f64 z (/.f64 1/2 y))))
✓	27.8b	(.f64 y (.f64 y (/.f64 1/2 y)))
✓	52.7b	(.f64 (.f64 z (neg.f64 z)) (/.f64 1/2 y))
✓	27.8b	(*.f64 1/2 y)
	48.7b	(.f64 (/.f64 x (.f64 y 2)) x)
	48.7b	(.f64 x (.f64 x (/.f64 1/2 y)))
	49.8b	(.f64 -1/2 (.f64 z (/.f64 z y)))
✓	14.1b	(.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y))
✓	52.1b	(/.f64 1/2 (/.f64 y (*.f64 x x)))
✓	0.1b	(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))

Compiler

Compiled 212 to 148 computations (30.2% saved)

regimes217.0ms (2.5%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

8 calls:

36.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y 2))
33.0ms	y
31.0ms	(*.f64 z z)
21.0ms	x
20.0ms	z

Results

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

Compiler

Compiled 430 to 212 computations (50.7% saved)

regimes283.0ms (3.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

7 calls:

73.0ms	z
59.0ms	x
39.0ms	y
24.0ms	(*.f64 x x)
16.0ms	(*.f64 z z)

Results

Error	Segments	Branch
5.7b	3	`x`
8.1b	3	`y`
4.6b	3	`z`
6.0b	2	`(*.f64 x x)`
6.0b	2	`(*.f64 x x)`
4.9b	2	`(*.f64 z z)`
4.9b	2	`(*.f64 z z)`

Compiler

Compiled 240 to 132 computations (45% saved)

bsearch68.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.649889080294774e-20	2.569204837483855e-13
43.0ms	-5.176083897378314e-101	-5.83073823628611e-104

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes160.0ms (1.8%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	y
39.0ms	x
33.0ms	z
24.0ms	(*.f64 x x)

Results

Error	Segments	Branch
14.1b	1	`x`
11.6b	3	`y`
14.1b	1	`z`
14.1b	1	`(*.f64 x x)`

Compiler

Compiled 166 to 92 computations (44.6% saved)

bsearch83.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	1.4644263239247731e-156	5.014485866956649e-155
35.0ms	-2.1014311026280347e-219	-4.206424747710613e-253

Compiler

Compiled 456 to 322 computations (29.4% saved)

regimes146.0ms (1.6%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

73.0ms	y
44.0ms	z
17.0ms	x
7.0ms	(*.f64 x x)

Results

Error	Segments	Branch
14.1b	1	`x`
11.6b	3	`y`
14.1b	1	`z`
14.1b	1	`(*.f64 x x)`

Compiler

Compiled 157 to 89 computations (43.3% saved)

bsearch196.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	1.4644263239247731e-156	5.014485866956649e-155
69.0ms	-2.1014311026280347e-219	-4.206424747710613e-253

Compiler

Compiled 456 to 322 computations (29.4% saved)

regimes266.0ms (3%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

5 calls:

74.0ms	x
60.0ms	z
53.0ms	y
36.0ms	(*.f64 x x)
35.0ms	(*.f64 x x)

Results

Error	Segments	Branch
25.1b	5	`x`
18.9b	6	`y`
23.1b	6	`z`
24.1b	7	`(*.f64 x x)`
24.1b	7	`(*.f64 x x)`

Compiler

Compiled 145 to 84 computations (42.1% saved)

bsearch558.0ms (6.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
123.0ms	1.2063065797900863e-54	1.7411120811015373e-40
77.0ms	5.617141660082138e-62	9.997015074556261e-55
87.0ms	6.024125211312571e-151	5.356529755290848e-149
47.0ms	-2.1014311026280347e-219	-4.206424747710613e-253
223.0ms	-2.043383412774367e+85	-1.6640823081361278e+83

Compiler

Compiled 924 to 686 computations (25.8% saved)

regimes195.0ms (2.2%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	y
56.0ms	z
51.0ms	x

Results

Error	Segments	Branch
25.1b	5	`x`
18.9b	6	`y`
23.1b	6	`z`

Compiler

Compiled 53 to 34 computations (35.8% saved)

bsearch528.0ms (6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
137.0ms	1.2063065797900863e-54	1.7411120811015373e-40
116.0ms	5.617141660082138e-62	9.997015074556261e-55
38.0ms	6.024125211312571e-151	5.356529755290848e-149
35.0ms	-2.1014311026280347e-219	-4.206424747710613e-253
202.0ms	-2.043383412774367e+85	-1.6640823081361278e+83

Compiler

Compiled 924 to 686 computations (25.8% saved)

regimes51.0ms (0.6%)

Accuracy

Total -40.9b remaining (-183.4%)

Threshold costs -40.9b (-183.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	z
13.0ms	y
12.0ms	x

Results

Error	Segments	Branch
26.5b	3	`x`
22.3b	3	`y`
23.1b	6	`z`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch254.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	5.617141660082138e-62	9.997015074556261e-55
181.0ms	-2.043383412774367e+85	-1.6640823081361278e+83

Compiler

Compiled 312 to 240 computations (23.1% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	358
1	85	358
2	94	358
3	97	358
4	98	358

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
(if (<=.f64 z -8157923591902321/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 z 9017105283206544384/340282366920938463463374607431768211456) (.f64 -1/2 (-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y)) (.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))))
(if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 y 12366520073655226368/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (/.f64 x (.f64 y 2)) x) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))))
(if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 y 12366520073655226368/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (/.f64 x (.f64 y 2)) x) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y))))
(if (<=.f64 y -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (.f64 1/2 y) (if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (.f64 z (/.f64 z y))) (if (<=.f64 y 5988954043295903/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (.f64 (/.f64 x (.f64 y 2)) x) (if (<=.f64 y 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -1/2 (/.f64 z (/.f64 y z))) (if (<=.f64 y 1052516317885561/862718293348820473429344482784628181556388621521298319395315527974912) (.f64 (/.f64 x (.f64 y 2)) x) (*.f64 1/2 y))))))
(if (<=.f64 y -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (.f64 1/2 y) (if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (/.f64 z (/.f64 y z))) (if (<=.f64 y 5988954043295903/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (.f64 (/.f64 x (.f64 y 2)) x) (if (<=.f64 y 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -1/2 (/.f64 z (/.f64 y z))) (if (<=.f64 y 1052516317885561/862718293348820473429344482784628181556388621521298319395315527974912) (.f64 (/.f64 x (.f64 y 2)) x) (.f64 1/2 y))))))
(if (<=.f64 y -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (.f64 1/2 y) (if (<=.f64 y 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -1/2 (/.f64 z (/.f64 y z))) (*.f64 1/2 y)))
(*.f64 1/2 y)

Outputs
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y))
(if (<=.f64 z -8157923591902321/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 z 9017105283206544384/340282366920938463463374607431768211456) (.f64 -1/2 (-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y)) (.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))))
(if (<=.f64 z -8157923591902321/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 z 8805766878131391/332306998946228968225951765070086144) (.f64 -1/2 (-.f64 (/.f64 x (/.f64 y (neg.f64 x))) y)) (.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))))
(if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 y 12366520073655226368/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (/.f64 x (.f64 y 2)) x) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))))
(if (<=.f64 y -3549478881067751/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 y 3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (.f64 x (/.f64 x (.f64 y 2))) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))))
(if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y)) (if (<=.f64 y 12366520073655226368/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (/.f64 x (.f64 y 2)) x) (.f64 -1/2 (-.f64 (.f64 z (/.f64 z y)) y))))
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(if (<=.f64 y -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (.f64 1/2 y) (if (<=.f64 y -227166648388336064/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/2 (.f64 z (/.f64 z y))) (if (<=.f64 y 5988954043295903/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (.f64 (/.f64 x (.f64 y 2)) x) (if (<=.f64 y 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -1/2 (/.f64 z (/.f64 y z))) (if (<=.f64 y 1052516317885561/862718293348820473429344482784628181556388621521298319395315527974912) (.f64 (/.f64 x (.f64 y 2)) x) (*.f64 1/2 y))))))
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(if (<=.f64 y -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (.f64 1/2 y) (if (<=.f64 y 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -1/2 (/.f64 z (/.f64 y z))) (*.f64 1/2 y)))
(if (<=.f64 y -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (.f64 y 1/2) (if (<=.f64 y 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 -1/2 (/.f64 z (/.f64 y z))) (*.f64 y 1/2)))
(*.f64 1/2 y)
(*.f64 y 1/2)

end107.0ms (1.2%)

Stop Event

1×

fuel

Compiler

Compiled 521 to 310 computations (40.5% saved)