Details

analyze514.0ms (14.9%)

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
18.7%	81.1%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
45.2%	53.8%	0.9%	9
50.3%	47.8%	1.9%	10
54%	43.6%	2.4%	11
61.7%	32.9%	5.4%	12
64.1%	28.3%	7.6%	13
66.2%	24.7%	9.2%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.1s (32.9%)

Results

992.0ms	8256×	body	128	valid
128.0ms	1184×	body	128	invalid

Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess37.0ms (1.1%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	3.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))

Compiler

Compiled 78 to 51 computations (34.6% 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))
✓	3.9b	(*.f64 (/.f64 x y) z)

series42.0ms (1.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
4.0ms	z	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.0ms	x	@	inf	(*.f64 (/.f64 x y) z)
2.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.0ms	z	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))

rewrite78.0ms (2.3%)

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 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 log1p.f64 (expm1.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))))))

simplify73.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
176×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	1102
1	78	1102
2	186	952
3	442	860
4	951	790
5	2039	790
6	3042	790
7	3589	790
8	3601	790
9	3601	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 (/.f64 x y) (.f64 4 (/.f64 1 y))) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (/.f64 (.f64 z x) y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.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 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(/.f64 4 y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (*.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 (/.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 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) x) y))
(/.f64 (-.f64 x (*.f64 z x)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) x) y))
(/.f64 (-.f64 x (*.f64 z x)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -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 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -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 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 4 y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 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 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 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 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)

prune145.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	191	5	196

Error

Counts

196 → 5

Alt Table

Status	Error	Program
	3.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
▶	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))
	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 4111 to 1998 computations (51.4% 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 z (/.f64 y x)))
✓	3.9b	(/.f64 z (/.f64 y x))

series31.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
3.0ms	z	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
2.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
2.0ms	z	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
2.0ms	z	@	0	(/.f64 z (/.f64 y x))

rewrite62.0ms (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 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 log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))))

((#(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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4) y) (*.f64 x (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 (neg.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 4) y) 1 (*.f64 (neg.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) 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simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	880
1	78	880
2	186	730
3	442	638
4	952	631
5	2050	631
6	3051	631
7	3597	631
8	3609	631
9	3609	631

Stop Event

1×

saturated

Counts

180 → 122

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

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

prune110.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	157	5	162

Error

Counts

162 → 5

Alt Table

Status	Error	Program
	3.1b	(fabs.f64 (/.f64 (fma.f64 x (-.f64 1 z) 4) y))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 3029 to 1513 computations (50% saved)

localize28.0ms (0.8%)

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 x (/.f64 y z)))
✓	7.0b	(/.f64 x (/.f64 y z))

series32.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
2.0ms	x	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
2.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
2.0ms	z	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
2.0ms	z	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))

rewrite63.0ms (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	4016	23

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

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

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	880
1	78	880
2	186	730
3	442	638
4	952	631
5	2050	631
6	3051	631
7	3597	631
8	3609	631
9	3609	631

Stop Event

1×

saturated

Counts

180 → 122

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

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

prune109.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Error

Counts

162 → 5

Alt Table

Status	Error	Program
	3.1b	(fabs.f64 (/.f64 (fma.f64 x (-.f64 1 z) 4) y))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 3014 to 1504 computations (50.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)
	3.9b	(*.f64 (/.f64 x y) z)
✓	8.6b	(cbrt.f64 (*.f64 (/.f64 x y) z))

series247.0ms (7.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
56.0ms	y	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3))
33.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3))
31.0ms	z	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3))
19.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)
19.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)

rewrite73.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

344×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`
211×	`fma-neg_binary64`
140×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	301	29
2	3967	29

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	628
1	78	628
2	186	478
3	441	386
4	950	379
5	2047	379
6	3041	379
7	3594	379
8	3606	379
9	3606	379

Stop Event

1×

saturated

Counts

210 → 187

Calls

Call 1

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

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

prune161.0ms (4.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	212	5	217

Error

Counts

217 → 5

Alt Table

Status	Error	Program
	3.1b	(fabs.f64 (/.f64 (fma.f64 x (-.f64 1 z) 4) y))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
✓	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓	2.7b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 4307 to 2109 computations (51% saved)

regimes168.0ms (4.8%)

Accuracy

Total 0.5b remaining (96.8%)

Threshold costs 0.5b (96.8%)

Counts

21 → 2

Compiler

Compiled 1417 to 976 computations (31.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

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

Steps

Iters	Point		Range
5e-163	∈ [	3.920676526284939e-163	,	1.1741328236314834e-159	]

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
12×	`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	24	54
1	44	54
2	66	54
3	82	54
4	96	54
5	101	54
6	102	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) 8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (fabs.f64 (/.f64 (fma.f64 x (-.f64 1 z) 4) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))))

Outputs

(if (<=.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) 8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (fabs.f64 (/.f64 (fma.f64 x (-.f64 1 z) 4) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))))

end83.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 153 to 104 computations (32% saved)

Details

analyze514.0ms (14.9%)

sample1.1s (32.9%)

preprocess37.0ms (1.1%)

simplify43.0ms (1.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series42.0ms (1.2%)

rewrite78.0ms (2.3%)

simplify73.0ms (2.1%)

prune145.0ms (4.2%)

localize8.0ms (0.2%)

series31.0ms (0.9%)

rewrite62.0ms (1.8%)

simplify64.0ms (1.8%)

prune110.0ms (3.2%)

localize28.0ms (0.8%)

series32.0ms (0.9%)

rewrite63.0ms (1.8%)

simplify66.0ms (1.9%)

prune109.0ms (3.2%)

localize10.0ms (0.3%)

series247.0ms (7.1%)

rewrite73.0ms (2.1%)

simplify59.0ms (1.7%)

prune161.0ms (4.7%)

regimes168.0ms (4.8%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end83.0ms (2.4%)

Profiling