Details

analyze702.0ms (14%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	74.1%	0.9%	9
35.9%	62.2%	1.9%	10
42.1%	55.5%	2.4%	11
48%	47.2%	4.8%	12
55%	38.4%	6.6%	13
58.9%	32.7%	8.4%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (23.6%)

Results

1.0s	8256×	body	128	valid
162.0ms	1318×	body	128	invalid

preprocess37.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

802×	`times-frac_binary64`
679×	`fma-neg_binary64`
418×	`fma-def_binary64`
329×	`cancel-sign-sub-inv_binary64`
220×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	72
1	71	72
2	154	72
3	269	72
4	474	64
5	890	64
6	1410	64
7	2303	64
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1128×	`fma-def_binary64`
1073×	`fma-neg_binary64`
226×	`cancel-sign-sub-inv_binary64`
222×	`distribute-rgt-in_binary64`
162×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	22	18
2	46	18
3	78	18
4	141	16
5	274	16
6	443	16
7	744	16
8	1785	13
9	3544	13
10	4642	13
11	4838	13
12	4935	13
13	4935	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))

Compiler

Compiled 54 to 36 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 4) y)
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓	3.8b	(*.f64 (/.f64 x y) z)

series18.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms	y	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms	x	@	0	(*.f64 (/.f64 x y) z)
1.0ms	y	@	inf	(*.f64 (/.f64 x y) z)
1.0ms	y	@	0	(*.f64 (/.f64 x y) z)

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

334×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
202×	`fma-neg_binary64`
175×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	236	27
2	3548	27

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

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

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

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-neg_binary64`
463×	`fma-def_binary64`
225×	`distribute-rgt-in_binary64`
199×	`cancel-sign-sub-inv_binary64`
195×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	1102
1	96	1042
2	216	1042
3	529	1042
4	1245	790
5	2800	790
6	3517	790
7	3701	790
8	3776	790
9	3776	790

Stop Event

1×

saturated

Counts

272 → 194

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

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

eval67.0ms (1.3%)

Compiler: Compiled 3984 to 1922 computations (51.8% saved)

prune396.0ms (7.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	187	7	194
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	188	8	196

Error

Counts

196 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	(fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (+.f64 x 4) y)))
	2.7b	(fabs.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y)))
	4.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
	35.2b	(fabs.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z))))
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
	3.9b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
	4.4b	(fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)))
▶	2.4b	(fabs.f64 (-.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -1) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 328 to 210 computations (36% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (+.f64 x 4))
✓	0.0b	(-.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -1) (*.f64 (/.f64 x y) z))
✓	0.1b	(pow.f64 (/.f64 y (+.f64 x 4)) -1)
	3.8b	(*.f64 (/.f64 x y) z)

series26.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(/.f64 y (+.f64 x 4))
2.0ms	y	@	inf	(pow.f64 (/.f64 y (+.f64 x 4)) -1)
1.0ms	x	@	0	(pow.f64 (/.f64 y (+.f64 x 4)) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 y (+.f64 x 4)) -1)
1.0ms	x	@	-inf	(pow.f64 (/.f64 y (+.f64 x 4)) -1)

rewrite100.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`fma-def_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
197×	`fma-neg_binary64`
142×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	278	30
2	3975	30

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs
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Outputs

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

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
446×	`fma-neg_binary64`
348×	`associate-l_binary64`
279×	`associate-r_binary64`
234×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1057
1	185	1017
2	462	996
3	1327	950
4	4822	950

Stop Event

1×	node limit

Counts

276 → 225

Calls

Call 1

Inputs
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(.f64 (+.f64 (/.f64 1 y) (.f64 -1 (/.f64 z y))) x)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(*.f64 1/4 y)
(+.f64 (.f64 -1/16 (.f64 y x)) (*.f64 1/4 y))
(+.f64 (.f64 -1/16 (.f64 y x)) (+.f64 (.f64 1/64 (.f64 y (pow.f64 x 2))) (*.f64 1/4 y)))
(+.f64 (.f64 -1/256 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 y x)) (+.f64 (.f64 1/64 (.f64 y (pow.f64 x 2))) (*.f64 1/4 y))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (.f64 16 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -64 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (*.f64 16 (/.f64 y (pow.f64 x 3))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (.f64 16 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -64 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (*.f64 16 (/.f64 y (pow.f64 x 3))))))

Outputs
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(.f64 (+.f64 (/.f64 1 y) (.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(.f64 -1 (/.f64 (.f64 z x) y))
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(.f64 -1 (/.f64 (.f64 z x) y))
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(/.f64 y (+.f64 4 x))
(*.f64 1/4 y)
(*.f64 y 1/4)
(+.f64 (.f64 -1/16 (.f64 y x)) (*.f64 1/4 y))
(fma.f64 -1/16 (.f64 x y) (.f64 y 1/4))
(fma.f64 y 1/4 (.f64 x (.f64 y -1/16)))
(.f64 y (+.f64 1/4 (.f64 x -1/16)))
(*.f64 y (fma.f64 x -1/16 1/4))
(+.f64 (.f64 -1/16 (.f64 y x)) (+.f64 (.f64 1/64 (.f64 y (pow.f64 x 2))) (*.f64 1/4 y)))
(fma.f64 -1/16 (.f64 x y) (fma.f64 1/64 (.f64 y (.f64 x x)) (.f64 y 1/4)))
(fma.f64 -1/16 (.f64 x y) (fma.f64 y 1/4 (.f64 y (.f64 (.f64 x x) 1/64))))
(fma.f64 y 1/4 (.f64 x (+.f64 (.f64 y -1/16) (.f64 x (.f64 y 1/64)))))
(.f64 y (+.f64 (.f64 x (+.f64 -1/16 (*.f64 x 1/64))) 1/4))
(+.f64 (.f64 -1/256 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 y x)) (+.f64 (.f64 1/64 (.f64 y (pow.f64 x 2))) (*.f64 1/4 y))))
(fma.f64 -1/256 (.f64 y (pow.f64 x 3)) (fma.f64 -1/16 (.f64 x y) (fma.f64 1/64 (.f64 y (.f64 x x)) (*.f64 y 1/4))))
(fma.f64 -1/256 (.f64 y (pow.f64 x 3)) (fma.f64 -1/16 (.f64 x y) (fma.f64 y 1/4 (.f64 y (.f64 (*.f64 x x) 1/64)))))
(fma.f64 x (.f64 y -1/16) (fma.f64 y (.f64 -1/256 (pow.f64 x 3)) (.f64 y (+.f64 1/4 (.f64 x (*.f64 x 1/64))))))
(.f64 y (+.f64 (fma.f64 x -1/16 (.f64 -1/256 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/64) 1/4)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (.f64 -4 (/.f64 y (.f64 x x))))
(fma.f64 -4 (/.f64 (/.f64 y x) x) (/.f64 y x))
(*.f64 (+.f64 (/.f64 -4 x) 1) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 1 (/.f64 -4 x)))
(+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (.f64 16 (/.f64 y (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (fma.f64 -4 (/.f64 y (.f64 x x)) (.f64 16 (/.f64 y (pow.f64 x 3)))))
(+.f64 (fma.f64 -4 (/.f64 (/.f64 y x) x) (/.f64 y x)) (/.f64 (*.f64 y 16) (pow.f64 x 3)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -4 (/.f64 16 x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -4 (/.f64 16 x)) (/.f64 y x))
(+.f64 (.f64 -64 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (*.f64 16 (/.f64 y (pow.f64 x 3))))))
(fma.f64 -64 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 y x) (fma.f64 -4 (/.f64 y (.f64 x x)) (.f64 16 (/.f64 y (pow.f64 x 3))))))
(fma.f64 -64 (/.f64 y (pow.f64 x 4)) (+.f64 (fma.f64 -4 (/.f64 (/.f64 y x) x) (/.f64 y x)) (/.f64 (*.f64 y 16) (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -4 (/.f64 16 x))) (fma.f64 -64 (/.f64 y (pow.f64 x 4)) (/.f64 y x)))
(fma.f64 (+.f64 1 (/.f64 -4 x)) (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16 (/.f64 -64 x))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (.f64 -4 (/.f64 y (.f64 x x))))
(fma.f64 -4 (/.f64 (/.f64 y x) x) (/.f64 y x))
(*.f64 (+.f64 (/.f64 -4 x) 1) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 1 (/.f64 -4 x)))
(+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (.f64 16 (/.f64 y (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (fma.f64 -4 (/.f64 y (.f64 x x)) (.f64 16 (/.f64 y (pow.f64 x 3)))))
(+.f64 (fma.f64 -4 (/.f64 (/.f64 y x) x) (/.f64 y x)) (/.f64 (*.f64 y 16) (pow.f64 x 3)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -4 (/.f64 16 x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -4 (/.f64 16 x)) (/.f64 y x))
(+.f64 (.f64 -64 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y x) (+.f64 (.f64 -4 (/.f64 y (pow.f64 x 2))) (*.f64 16 (/.f64 y (pow.f64 x 3))))))
(fma.f64 -64 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 y x) (fma.f64 -4 (/.f64 y (.f64 x x)) (.f64 16 (/.f64 y (pow.f64 x 3))))))
(fma.f64 -64 (/.f64 y (pow.f64 x 4)) (+.f64 (fma.f64 -4 (/.f64 (/.f64 y x) x) (/.f64 y x)) (/.f64 (*.f64 y 16) (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -4 (/.f64 16 x))) (fma.f64 -64 (/.f64 y (pow.f64 x 4)) (/.f64 y x)))
(fma.f64 (+.f64 1 (/.f64 -4 x)) (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16 (/.f64 -64 x))))

eval96.0ms (1.9%)

Compiler: Compiled 5312 to 2638 computations (50.3% saved)

prune767.0ms (15.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	250	8	258

Error

Counts

258 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	(fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (+.f64 x 4) y)))
▶	2.7b	(fabs.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y)))
	33.5b	(fabs.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 y (+.f64 x 4)))) (*.f64 (/.f64 x y) z)))
	3.9b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
	4.4b	(fabs.f64 (fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)))
	3.6b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
✓	2.4b	(fabs.f64 (-.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -1) (*.f64 (/.f64 x y) z)))
	4.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 279 to 182 computations (34.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y))
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)
	3.8b	(*.f64 (/.f64 x y) z)
✓	14.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))

series24.0ms (0.5%)

Counts

3 → 12

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)
1.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 (/.f64 x y) z))
1.0ms	y	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y))

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`prod-diff_binary64`
150×	`add-sqr-sqrt_binary64`
145×	`pow1_binary64`
144×	`*-un-lft-identity_binary64`
141×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	306	37
2	3958	37

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	19	93
2	21	93

Stop Event

1×

saturated

Counts

99 → 92

Calls

Call 1

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

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

eval64.0ms (1.3%)

Compiler: Compiled 4575 to 1834 computations (59.9% saved)

prune608.0ms (12.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Error

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.7b	(fabs.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y)))
▶	2.7b	(fabs.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (/.f64 x y))) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y)))
	33.5b	(fabs.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 y (+.f64 x 4)))) (*.f64 (/.f64 x y) z)))
	3.9b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
	4.4b	(fabs.f64 (fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)))
	3.6b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
✓	2.4b	(fabs.f64 (-.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -1) (*.f64 (/.f64 x y) z)))
	4.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 268 to 178 computations (33.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 z)
	3.8b	(*.f64 (/.f64 x y) z)
✓	11.4b	(cbrt.f64 (/.f64 x y))
	14.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
631×	`add-log-exp_binary64`
631×	`log1p-expm1-u_binary64`
631×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	139	9
2	1712	9

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 x y))
(cbrt.f64 z)

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

eval50.0ms (1%)

Compiler: Compiled 3056 to 1283 computations (58% saved)

prune324.0ms (6.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Error

Counts

121 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.7b	(fabs.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) z)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y)))
✓	2.7b	(fabs.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (/.f64 x y))) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 x y) z))) (/.f64 (+.f64 x 4) y)))
	33.5b	(fabs.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 y (+.f64 x 4)))) (*.f64 (/.f64 x y) z)))
	3.9b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
	4.4b	(fabs.f64 (fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)))
	3.6b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
✓	2.4b	(fabs.f64 (-.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -1) (*.f64 (/.f64 x y) z)))
	4.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 155 to 102 computations (34.2% saved)

regimes92.0ms (1.8%)

Accuracy

Total -52.0b remaining (-60506.7%)

Threshold costs -52.0b (-60506.7%)

Counts

13 → 3

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
23.0ms	0.1b	3	`x`
14.0ms	1.0b	2	`y`
9.0ms	2.4b	1	`z`
15.0ms	0.1b	2	`(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))`
23.0ms	0.1b	3	`(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))`

Compiler

Compiled 261 to 143 computations (45.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Point		Range
0.0ms	5e+53	∈ [	4.137832615034336e+53	,	1.5118321851662554e+57	]
0.0ms	-5e+113	∈ [	-5.6383562582976605e+113	,	-8.267899601258634e+108	]

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	96
1	35	96
2	56	96
3	72	96
4	87	96
5	93	96
6	94	96

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 500000000000000039145770202298121921152680149943058432) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))

Outputs

(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 500000000000000039145770202298121921152680149943058432) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))

(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 500000000000000039145770202298121921152680149943058432) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) (fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))

(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (fabs.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (-.f64 -4 x) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 500000000000000039145770202298121921152680149943058432) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) (fabs.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (-.f64 -4 x) y)))))

end28.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 134 to 72 computations (46.3% saved)

Details

analyze702.0ms (14%)

sample1.2s (23.6%)

preprocess37.0ms (0.7%)

simplify44.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series18.0ms (0.3%)

rewrite71.0ms (1.4%)

simplify78.0ms (1.5%)

eval67.0ms (1.3%)

prune396.0ms (7.9%)

localize9.0ms (0.2%)

series26.0ms (0.5%)

rewrite100.0ms (2%)

simplify62.0ms (1.2%)

eval96.0ms (1.9%)

prune767.0ms (15.3%)

localize12.0ms (0.2%)

series24.0ms (0.5%)

rewrite76.0ms (1.5%)

simplify8.0ms (0.2%)

eval64.0ms (1.3%)

prune608.0ms (12.1%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

rewrite40.0ms (0.8%)

simplify7.0ms (0.1%)

eval50.0ms (1%)

prune324.0ms (6.5%)

regimes92.0ms (1.8%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end28.0ms (0.6%)

Profiling