Details

analyze693.0ms (19.4%)

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 (32.4%)

Results

986.0ms	8256×	body	128	valid
154.0ms	1352×	body	128	invalid

preprocess34.0ms (1%)

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)

simplify43.0ms (1.2%)

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))

prune3.0ms (0.1%)

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

Status	Error	Program
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
▶	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 78 to 51 computations (34.6% saved)

localize7.0ms (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))
✓	2.5b	(*.f64 (/.f64 x y) z)

series14.0ms (0.4%)

Counts

3 → 96

Calls

24 calls:

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

rewrite69.0ms (1.9%)

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 expm1.f64 (log1p.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 +.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 expm1.f64 (log1p.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))))))

simplify74.0ms (2.1%)

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)

prune191.0ms (5.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	191	5	196

Error

Counts

196 → 5

Alt Table

Status	Error	Program
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
	2.7b	(fabs.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z))))
	3.2b	(fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)))
	33.5b	(fabs.f64 (/.f64 (-.f64 (.f64 (+.f64 x 4) y) (.f64 y (.f64 x z))) (.f64 y y)))
▶	2.1b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Compiler

Compiled 4160 to 2042 computations (50.9% saved)

localize7.0ms (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 z (/.f64 y x)))
✓	3.0b	(/.f64 z (/.f64 y x))

series18.0ms (0.5%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	z	@	-inf	(/.f64 z (/.f64 y x))
0.0ms	z	@	0	(/.f64 z (/.f64 y x))
0.0ms	z	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
0.0ms	y	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
0.0ms	z	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))

rewrite64.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`fma-neg_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`
130×	`add-sqr-sqrt_binary64`
128×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	245	23
2	4017	23

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs
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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (neg.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 (neg.f64 (/.f64 z y)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 (/.f64 z y)) x) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) (+.f64 (*.f64 (neg.f64 (/.f64 z y)) x) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 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simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
463×	`fma-def_binary64`
226×	`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	33	880
1	96	820
2	216	820
3	529	820
4	1250	631
5	2795	631
6	3510	631
7	3694	631
8	3769	631
9	3769	631

Stop Event

1×

saturated

Counts

180 → 123

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)
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Outputs
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prune165.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	157	5	162

Error

Counts

162 → 5

Alt Table

Status	Error	Program
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
	3.2b	(fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)))
	16.2b	(fabs.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) (+.f64 x 4) (neg.f64 (*.f64 z y))) y) (/.f64 y x)))
✓	2.1b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))

Compiler

Compiled 3066 to 1543 computations (49.7% saved)

localize7.0ms (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 z (/.f64 x y)))
✓	2.5b	(*.f64 z (/.f64 x y))

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

335×	`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	23
1	236	20
2	3546	20

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
463×	`fma-def_binary64`
226×	`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	33	880
1	96	820
2	216	820
3	529	820
4	1250	631
5	2795	631
6	3510	631
7	3694	631
8	3769	631
9	3769	631

Stop Event

1×

saturated

Counts

216 → 159

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))))

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))
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.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 (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))
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.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 (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)

prune150.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	193	5	198

Error

Counts

198 → 5

Alt Table

Status	Error	Program
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
▶	3.2b	(fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)))
	16.2b	(fabs.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) (+.f64 x 4) (neg.f64 (*.f64 z y))) y) (/.f64 y x)))
✓	2.1b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))

Compiler

Compiled 4112 to 2004 computations (51.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 1 y))
✓	0.0b	(-.f64 (/.f64 1 y) (/.f64 z y))
✓	0.0b	(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
✓	3.0b	(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)

series15.0ms (0.4%)

Counts

4 → 87

Calls

27 calls:

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

rewrite63.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`fma-neg_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
137×	`add-sqr-sqrt_binary64`
133×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	272	35
2	3978	35

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(*.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 1 y) (/.f64 z y))
(*.f64 4 (/.f64 1 y))

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

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
406×	`fma-def_binary64`
222×	`distribute-rgt-in_binary64`
153×	`unsub-neg_binary64`
148×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	768
1	88	726
2	189	726
3	437	726
4	1057	726
5	2441	723
6	3392	723
7	3615	723
8	3639	723
9	3639	723

Stop Event

1×

saturated

Counts

229 → 160

Calls

Call 1

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

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

prune162.0ms (4.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	160	5	165

Error

Counts

165 → 5

Alt Table

Status	Error	Program
	3.6b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
✓	3.2b	(fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)))
	16.2b	(fabs.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) (+.f64 x 4) (neg.f64 (*.f64 z y))) y) (/.f64 y x)))
✓	2.1b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))

Compiler

Compiled 3227 to 2120 computations (34.3% saved)

regimes197.0ms (5.5%)

Accuracy

Total -20.1b remaining (-6716.7%)

Threshold costs -20.1b (-6716.7%)

Counts

37 → 3

Compiler

Compiled 499 to 289 computations (42.1% saved)

bsearch60.0ms (1.7%)

Algorithm

2×	binary-search

Calls

2 calls:

37.0ms	x
22.0ms	x

Steps

Iters	Point		Range
1.0714748415762229e-116	∈ [	1.0714748415762229e-116	,	1.8278577863885107e-113	]
-2185000095642.6838	∈ [	-2185000095642.6838	,	-99648055931.56583	]

Compiler

Compiled 20 to 14 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	38	63
2	48	63
3	57	63
4	68	63
5	74	63
6	77	63
7	78	63

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x -8949760391752433/4096) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 7787894069660993536/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))

Outputs

(if (<=.f64 x -8949760391752433/4096) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 7787894069660993536/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))

(if (<=.f64 x -8949760391752433/4096) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 3802682651201657/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (fabs.f64 (/.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))

end75.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 157 to 92 computations (41.4% saved)

Details

analyze693.0ms (19.4%)

sample1.2s (32.4%)

preprocess34.0ms (1%)

simplify43.0ms (1.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series14.0ms (0.4%)

rewrite69.0ms (1.9%)

simplify74.0ms (2.1%)

prune191.0ms (5.4%)

localize7.0ms (0.2%)

series18.0ms (0.5%)

rewrite64.0ms (1.8%)

simplify66.0ms (1.8%)

prune165.0ms (4.6%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite71.0ms (2%)

simplify73.0ms (2.1%)

prune150.0ms (4.2%)

localize10.0ms (0.3%)

series15.0ms (0.4%)

rewrite63.0ms (1.8%)

simplify72.0ms (2%)

prune162.0ms (4.5%)

regimes197.0ms (5.5%)

bsearch60.0ms (1.7%)

simplify4.0ms (0.1%)

end75.0ms (2.1%)

Profiling