Details

analyze571.0ms (17.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (32%)

Results

930.0ms	8256×	body	128	valid
118.0ms	1067×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess33.0ms (1%)

Algorithm

2×	egg-herbie

Rules

830×	`fma-def_binary64`
737×	`times-frac_binary64`
438×	`distribute-rgt-in_binary64`
262×	`div-sub_binary64`
251×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	75	44
2	183	44
3	723	44
4	2221	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify25.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

527×	`fma-neg_binary64`
407×	`fma-def_binary64`
279×	`cancel-sign-sub-inv_binary64`
251×	`times-frac_binary64`
245×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	56	11
3	175	11
4	443	11
5	1025	11
6	2797	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

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

3.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	3.6b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	10.4b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 66 to 39 computations (40.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	3.4b	(/.f64 (fma.f64 x y x) z)

series13.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(-.f64 (/.f64 (fma.f64 x y x) z) x)
1.0ms	x	@	-inf	(/.f64 (fma.f64 x y x) z)
1.0ms	z	@	-inf	(/.f64 (fma.f64 x y x) z)
1.0ms	x	@	0	(/.f64 (fma.f64 x y x) z)
1.0ms	x	@	inf	(/.f64 (fma.f64 x y x) z)

rewrite57.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
84×	`*-un-lft-identity_binary64`
84×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	156	19
2	2267	19

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

Outputs

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

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

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-def_binary64`
574×	`fma-neg_binary64`
201×	`distribute-rgt-in_binary64`
173×	`distribute-lft-in_binary64`
128×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	797
1	63	797
2	127	797
3	388	647
4	1148	647
5	2040	647
6	3179	647
7	3669	647
8	3702	647
9	3710	647
10	3710	647

Stop Event

1×

saturated

Counts

142 → 84

Calls

Call 1

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

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

prune59.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	80	6	86

Error

0.0b

Counts

86 → 6

Alt Table

Status	Error	Program
	3.7b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
	4.2b	(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 x y x) z))) x)
	34.4b	(-.f64 (.f64 (sqrt.f64 (fma.f64 x y x)) (.f64 (sqrt.f64 (fma.f64 x y x)) (/.f64 1 z))) x)
✓	3.6b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	2.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 1373 to 446 computations (67.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 y z) (/.f64 1 z))
✓	2.7b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)

series15.0ms (0.5%)

Counts

2 → 39

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
2.0ms	x	@	inf	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
1.0ms	y	@	0	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
1.0ms	y	@	inf	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
1.0ms	z	@	0	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)

rewrite57.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`fma-def_binary64`
331×	`fma-neg_binary64`
199×	`log1p-udef_binary64`
198×	`expm1-udef_binary64`
119×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	227	26
2	3447	24

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary64`
565×	`fma-neg_binary64`
175×	`cancel-sign-sub-inv_binary64`
113×	`distribute-rgt-neg-in_binary64`
90×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	424
1	37	424
2	62	383
3	106	329
4	260	329
5	640	329
6	1295	329
7	2200	329
8	2936	329
9	3208	329
10	3224	329
11	3224	329

Stop Event

1×

saturated

Counts

149 → 124

Calls

Call 1

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

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

prune112.0ms (3.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

0.0b

Counts

130 → 7

Alt Table

Status	Error	Program
	18.1b	(.f64 (-.f64 (.f64 (fma.f64 y z z) (pow.f64 z -2)) 1) x)
▶	3.7b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
	4.2b	(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 x y x) z))) x)
	34.4b	(-.f64 (.f64 (sqrt.f64 (fma.f64 x y x)) (.f64 (sqrt.f64 (fma.f64 x y x)) (/.f64 1 z))) x)
✓	3.6b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	2.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 2138 to 1289 computations (39.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	0.3b	(pow.f64 (/.f64 z (fma.f64 x y x)) -1)
✓	3.4b	(/.f64 z (fma.f64 x y x))

series15.0ms (0.5%)

Counts

3 → 108

Calls

27 calls:

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

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`prod-diff_binary64`
234×	`fma-def_binary64`
179×	`expm1-udef_binary64`
179×	`log1p-udef_binary64`
152×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	198	27
2	2715	27

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

Inputs
(/.f64 z (fma.f64 x y x))
(pow.f64 (/.f64 z (fma.f64 x y x)) -1)
(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)

Outputs

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

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

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

318×	`fma-def_binary64`
311×	`associate-l_binary64`
248×	`associate-r_binary64`
247×	`associate-/r*_binary64`
240×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	1268
1	150	1268
2	343	1200
3	1123	1103
4	4809	1103

Stop Event

1×	node limit

Counts

299 → 222

Calls

Call 1

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

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

prune162.0ms (4.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	222	7	229

Error

Counts

229 → 7

Alt Table

Status	Error	Program
	18.1b	(.f64 (-.f64 (.f64 (fma.f64 y z z) (pow.f64 z -2)) 1) x)
	26.1b	(/.f64 1 (/.f64 (+.f64 x (/.f64 (fma.f64 x y x) z)) (-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -2) (*.f64 x x))))
	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)
▶	4.1b	(-.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) (pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)) -1) x)
✓	3.7b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	3.6b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	2.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)

Compiler

Compiled 3860 to 1224 computations (68.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) (pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)) -1)
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)
	3.4b	(/.f64 z (fma.f64 x y x))
✓	6.5b	(cbrt.f64 (/.f64 z (fma.f64 x y x)))

series32.0ms (1%)

Counts

3 → 44

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)
5.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) (pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)) -1)
3.0ms	z	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) (pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)) -1)
2.0ms	z	@	-inf	(cbrt.f64 (/.f64 z (fma.f64 x y x)))
2.0ms	y	@	0	(cbrt.f64 (/.f64 z (fma.f64 x y x)))

rewrite49.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
186×	`pow1/3_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
171×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	253	31
2	2775	31

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

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

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

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-r_binary64`
489×	`associate-l_binary64`
483×	`fma-def_binary64`
215×	`cancel-sign-sub-inv_binary64`
190×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	985
1	300	963
2	1068	911

Stop Event

1×	node limit

Counts

146 → 125

Calls

Call 1

Inputs
(pow.f64 (/.f64 z x) 1/3)
(-.f64 (pow.f64 (/.f64 z x) 1/3) (.f64 1/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 z x) 1/3))) (pow.f64 (/.f64 z x) 1/3)) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/9)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 z x) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))) (pow.f64 (/.f64 z x) 1/3))) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))) (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 5) (pow.f64 x 5)) 1/3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/9))) (.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 z x) 1/3)))))))
(pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3)
(-.f64 (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3) (.f64 2/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3)) (+.f64 (.f64 2/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/9)))))
(-.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))) (+.f64 (.f64 2/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 2)) (pow.f64 x 2))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/9)))))))
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 x z)
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(/.f64 (*.f64 y x) z)
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(/.f64 (*.f64 y x) z)
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))

Outputs
(pow.f64 (/.f64 z x) 1/3)
(cbrt.f64 (/.f64 z x))
(-.f64 (pow.f64 (/.f64 z x) 1/3) (.f64 1/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))))
(-.f64 (cbrt.f64 (/.f64 z x)) (.f64 (.f64 1/3 y) (*.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))))
(-.f64 (cbrt.f64 (/.f64 z x)) (.f64 (.f64 (*.f64 1/3 y) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18)) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18)))
(fma.f64 (.f64 y -1/3) (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18)) (cbrt.f64 (/.f64 z x)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 z x) 1/3))) (pow.f64 (/.f64 z x) 1/3)) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/9)))))
(-.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 z x)) (.f64 y y)) (cbrt.f64 (/.f64 z x))) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))) (.f64 (.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18)))))
(-.f64 (.f64 (+.f64 (.f64 1/3 (.f64 y y)) 1) (cbrt.f64 (/.f64 z x))) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))) (.f64 1/9 (.f64 y (.f64 y (*.f64 (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18)))))))
(fma.f64 (fma.f64 1/3 (.f64 y y) 1) (cbrt.f64 (/.f64 z x)) (fma.f64 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))) -1/3 (.f64 (.f64 (.f64 (*.f64 y y) -1/9) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18)) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 z x) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))) (pow.f64 (/.f64 z x) 1/3))) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/9))) (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 5) (pow.f64 x 5)) 1/3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/9))) (.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 z x) 1/3)))))))
(-.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 z x)) (.f64 y y)) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18)) (pow.f64 y 3)) (cbrt.f64 (/.f64 z x)))) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))) (fma.f64 5/81 (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 x 5)))) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 y 3)))))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 y y)) 1) (cbrt.f64 (/.f64 z x))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18)) (.f64 2/9 (pow.f64 y 3)))) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))) (fma.f64 5/81 (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 x 5)))) (fma.f64 1/9 (.f64 y (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 y 3)))))))
(-.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18)) (.f64 2/9 (pow.f64 y 3)) (.f64 (fma.f64 1/3 (.f64 y y) 1) (cbrt.f64 (/.f64 z x)))) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 x 7)) 1/18))) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 (pow.f64 z 11) (pow.f64 x 11)) 1/18))) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (cbrt.f64 (/.f64 z x))) (.f64 5/81 (cbrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 x 5)))))))))
(pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (/.f64 (.f64 z z) (.f64 x x)))
(cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3) (.f64 2/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))))
(-.f64 (cbrt.f64 (/.f64 (.f64 z z) (.f64 x x))) (.f64 (.f64 2/3 y) (*.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))))
(+.f64 (cbrt.f64 (.f64 (/.f64 z x) (/.f64 z x))) (.f64 (.f64 -2/3 y) (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))))
(fma.f64 (.f64 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18)) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18)) -2/3 (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3)) (+.f64 (.f64 2/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/9)))))
(-.f64 (fma.f64 2/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 (.f64 z z) (.f64 x x)))) (cbrt.f64 (/.f64 (.f64 z z) (.f64 x x)))) (fma.f64 2/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))) (.f64 (.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18)))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 y y) 2/3) 1) (cbrt.f64 (.f64 (/.f64 z x) (/.f64 z x)))) (fma.f64 1/9 (.f64 y (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18)))) (.f64 y (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18)) 2/3))))
(fma.f64 (fma.f64 (.f64 y y) 2/3 1) (cbrt.f64 (.f64 (/.f64 z x) (/.f64 z x))) (fma.f64 (.f64 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18)) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18)) -2/3 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18)) (.f64 (.f64 y y) -1/9))))
(-.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))) (+.f64 (.f64 2/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 2)) 1/3))) (+.f64 (.f64 2/3 (.f64 y (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/9))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 2)) (pow.f64 x 2))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/9)))))))
(-.f64 (fma.f64 2/9 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))) (fma.f64 2/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 (.f64 z z) (.f64 x x)))) (cbrt.f64 (/.f64 (.f64 z z) (.f64 x x))))) (fma.f64 2/3 (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 (.f64 z z) (.f64 x x)))) (fma.f64 2/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))) (fma.f64 4/81 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (.f64 z z))) (.f64 (.f64 1/9 (.f64 y y)) (*.f64 (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18)))))))
(-.f64 (fma.f64 2/9 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))) (.f64 (+.f64 (.f64 (.f64 y y) 2/3) 1) (cbrt.f64 (.f64 (/.f64 z x) (/.f64 z x))))) (fma.f64 2/3 (.f64 (pow.f64 y 3) (cbrt.f64 (.f64 (/.f64 z x) (/.f64 z x)))) (fma.f64 2/3 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))) (fma.f64 (.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18)) (.f64 4/81 (.f64 (/.f64 (pow.f64 y 3) x) (/.f64 (.f64 z z) x)))))))
(-.f64 (fma.f64 2/9 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18))) (.f64 (cbrt.f64 (.f64 (/.f64 z x) (/.f64 z x))) (-.f64 (fma.f64 (.f64 y y) 2/3 1) (.f64 (pow.f64 y 3) 2/3)))) (fma.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 z 10) (pow.f64 x 10)) 1/18) 2/3)) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 (pow.f64 z 14) (pow.f64 x 14)) 1/18))) (.f64 4/81 (.f64 (.f64 (/.f64 z x) (/.f64 z x)) (pow.f64 y 3))))))
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (+.f64 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 (*.f64 x (+.f64 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (fma.f64 x y x) z)
(/.f64 x z)
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(/.f64 (*.f64 y x) z)
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(/.f64 (*.f64 y x) z)
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y z) x (/.f64 x z))

prune242.0ms (7.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	267	7	274

Error

Counts

274 → 7

Alt Table

Status	Error	Program
	18.1b	(.f64 (-.f64 (.f64 (fma.f64 y z z) (pow.f64 z -2)) 1) x)
	26.1b	(/.f64 1 (/.f64 (+.f64 x (/.f64 (fma.f64 x y x) z)) (-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -2) (*.f64 x x))))
	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	4.1b	(-.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) (pow.f64 (cbrt.f64 (/.f64 z (fma.f64 x y x))) 2)) -1) x)
✓	3.7b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	3.6b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	2.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)

Compiler

Compiled 7401 to 3045 computations (58.9% saved)

regimes353.0ms (10.7%)

Accuracy

Total 0.4b remaining (97.3%)

Threshold costs 0.4b (97.3%)

Counts

69 → 3

Compiler

Compiled 942 to 339 computations (64% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
0.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Steps

Iters	Point		Range
5e+295	∈ [	3.0604660465937054e+295	,	4.891175214497279e+298	]
-5e+284	∈ [	-5.940396401216011e+284	,	-2.2202169093104775e+283	]

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	75
1	32	75
2	40	75
3	44	75
4	46	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) -499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)))

Outputs

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) -499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (fma.f64 (/.f64 y z) x (/.f64 x z)) x)))

end117.0ms (3.5%)

Stop Event

1×

fuel

Compiler

Compiled 223 to 116 computations (48% saved)

Details

analyze571.0ms (17.2%)

sample1.1s (32%)

preprocess33.0ms (1%)

simplify25.0ms (0.8%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series13.0ms (0.4%)

rewrite57.0ms (1.7%)

simplify77.0ms (2.3%)

prune59.0ms (1.8%)

localize6.0ms (0.2%)

series15.0ms (0.5%)

rewrite57.0ms (1.7%)

simplify57.0ms (1.7%)

prune112.0ms (3.4%)

localize7.0ms (0.2%)

series15.0ms (0.5%)

rewrite66.0ms (2%)

simplify69.0ms (2.1%)

prune162.0ms (4.9%)

localize10.0ms (0.3%)

series32.0ms (1%)

rewrite49.0ms (1.5%)

simplify35.0ms (1.1%)

prune242.0ms (7.3%)

regimes353.0ms (10.7%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end117.0ms (3.5%)

Profiling