Details

analyze905.0ms (24.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
3.1%	96.7%	0.1%	8
3.1%	95.2%	1.7%	9
19.5%	76.8%	3.7%	10
25%	70.6%	4.4%	11
28.1%	65.7%	6.2%	12
43.9%	46.5%	9.7%	13
47.5%	41.9%	10.6%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (30.2%)

Results

961.0ms	8256×	body	128	valid
143.0ms	1102×	body	128	invalid

preprocess36.0ms (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)

simplify35.0ms (0.9%)

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)

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune2.0ms (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

2.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
▶	2.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)

Compiler

Compiled 46 to 28 computations (39.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	2.2b	(/.f64 (fma.f64 x y x) z)

series11.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite57.0ms (1.5%)

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

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-def_binary64`
460×	`fma-neg_binary64`
147×	`distribute-rgt-in_binary64`
113×	`distribute-lft-in_binary64`
95×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	797
1	87	797
2	205	737
3	588	647
4	1226	647
5	2162	647
6	2694	647
7	2842	647
8	2842	647

Stop Event

1×

saturated

Counts

142 → 86

Calls

Call 1

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

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

eval18.0ms (0.5%)

Compiler: Compiled 1226 to 360 computations (70.6% saved)

prune150.0ms (4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Error

0.0b

Counts

88 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.4b	(fma.f64 (fma.f64 x y x) (/.f64 1 z) (neg.f64 x))
	3.0b	(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z))) x)
	4.4b	(*.f64 (-.f64 (+.f64 (/.f64 1 z) (/.f64 y z)) 1) x)
✓	2.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	15.5b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 123 to 78 computations (36.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(fma.f64 (fma.f64 x y x) (/.f64 1 z) (neg.f64 x))

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	179	11
2	2154	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
500×	`fma-neg_binary64`
152×	`cancel-sign-sub-inv_binary64`
129×	`distribute-rgt-in_binary64`
96×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	515
1	68	515
2	151	515
3	449	455
4	934	365
5	1700	365
6	2467	365
7	2959	365
8	3090	365
9	3090	365

Stop Event

1×

saturated

Counts

61 → 37

Calls

Call 1

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

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

eval6.0ms (0.2%)

Compiler: Compiled 426 to 109 computations (74.4% saved)

prune29.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	37	5	42

Error

0.0b

Counts

42 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.4b	(fma.f64 (fma.f64 x y x) (/.f64 1 z) (neg.f64 x))
▶	3.0b	(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z))) x)
	4.4b	(*.f64 (-.f64 (+.f64 (/.f64 1 z) (/.f64 y z)) 1) x)
✓	2.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	15.5b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 110 to 70 computations (36.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)
✓	0.7b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z)))
✓	1.9b	(/.f64 (fma.f64 x y x) (cbrt.f64 z))

series22.0ms (0.6%)

Counts

4 → 60

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/.f64 (fma.f64 x y x) (cbrt.f64 z))
3.0ms	z	@	0	(/.f64 (fma.f64 x y x) (cbrt.f64 z))
3.0ms	x	@	0	(/.f64 (fma.f64 x y x) (cbrt.f64 z))
2.0ms	z	@	-inf	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z)))
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)

rewrite63.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log-prod_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
178×	`log-pow_binary64`
136×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	253	27
2	3141	27

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

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

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

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-neg_binary64`
512×	`fma-def_binary64`
342×	`associate-l_binary64`
280×	`unsub-neg_binary64`
267×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	588
1	71	588
2	178	588
3	573	588
4	1913	588
5	4242	588

Stop Event

1×	node limit

Counts

205 → 161

Calls

Call 1

Inputs
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) x)
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(.f64 (.f64 y x) (pow.f64 (/.f64 1 z) 1/3))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(.f64 (.f64 y x) (pow.f64 (/.f64 1 z) 1/3))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(/.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 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) z))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) z))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) z))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) 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) 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
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 (+.f64 1 y) x) (pow.f64 (/.f64 1 z) 1/3))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1 y) 1) x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) x)
(*.f64 x (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 y x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (cbrt.f64 (/.f64 1 z)) (.f64 y x))
(.f64 y (.f64 x (cbrt.f64 (/.f64 1 z))))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(.f64 (.f64 y x) (pow.f64 (/.f64 1 z) 1/3))
(.f64 (cbrt.f64 (/.f64 1 z)) (.f64 y x))
(.f64 y (.f64 x (cbrt.f64 (/.f64 1 z))))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (pow.f64 (/.f64 1 z) 1/3) x) (.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/3)))
(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 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 (*.f64 y x) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(/.f64 (*.f64 (+.f64 1 y) x) z)
(/.f64 (fma.f64 y x x) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) z))
(/.f64 (fma.f64 y x x) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) z))
(/.f64 (fma.f64 y x x) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) z))
(/.f64 (fma.f64 y x x) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 1) x) 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 x (/.f64 z y))
(*.f64 y (/.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 x (/.f64 z y))
(*.f64 y (/.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)

eval50.0ms (1.4%)

Compiler: Compiled 3475 to 1486 computations (57.2% saved)

prune457.0ms (12.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	186	6	192

Error

Counts

192 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.4b	(fma.f64 (fma.f64 x y x) (/.f64 1 z) (neg.f64 x))
✓	3.0b	(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z))) x)
	4.4b	(*.f64 (-.f64 (+.f64 (/.f64 1 z) (/.f64 y z)) 1) x)
✓	2.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	15.5b	(-.f64 (*.f64 y (/.f64 x z)) x)
▶	2.9b	(-.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))) x)

Compiler

Compiled 133 to 88 computations (33.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 z)
✓	0.6b	(cbrt.f64 (/.f64 1 z))
✓	0.7b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z))))
✓	1.9b	(*.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))

series15.0ms (0.4%)

Counts

3 → 60

Calls

21 calls:

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

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
202×	`log-pow_binary64`
135×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	287	24
2	3364	24

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-def_binary64`
377×	`distribute-rgt-in_binary64`
359×	`associate-l_binary64`
290×	`associate-r_binary64`
235×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	784
1	84	616
2	235	616
3	772	616
4	2509	616

Stop Event

1×	node limit

Counts

152 → 110

Calls

Call 1

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

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

eval41.0ms (1.1%)

Compiler: Compiled 2574 to 1317 computations (48.8% saved)

prune268.0ms (7.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	136	6	142

Error

Counts

142 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.4b	(fma.f64 (fma.f64 x y x) (/.f64 1 z) (neg.f64 x))
✓	3.0b	(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z))) x)
✓	2.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	15.5b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	2.9b	(-.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (fma.f64 y x x) (cbrt.f64 (/.f64 1 z)))) x)
	4.3b	(-.f64 (.f64 x (/.f64 (-.f64 -1 y) (.f64 z (cbrt.f64 -1)))) x)

Compiler

Compiled 89 to 58 computations (34.8% saved)

regimes52.0ms (1.4%)

Accuracy

Total -26.9b remaining (-3254.2%)

Threshold costs -26.9b (-3254.2%)

Counts

9 → 2

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
12.0ms	0.8b	2	`x`
6.0ms	2.3b	1	`y`
18.0ms	0.8b	2	`z`
12.0ms	0.8b	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 129 to 75 computations (41.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Point		Range
0.0ms	2e+297	∈ [	1.7230264519380188e+297	,	#hash((type . real) (value . +inf))	]

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	36	47
2	46	47
3	52	47
4	55	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (*.f64 x (/.f64 (-.f64 -1 y) (*.f64 z (cbrt.f64 -1)))) x))

Outputs

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (*.f64 x (/.f64 (-.f64 -1 y) (*.f64 z (cbrt.f64 -1)))) x))

end27.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 70 to 44 computations (37.1% saved)

Details

analyze905.0ms (24.4%)

sample1.1s (30.2%)

preprocess36.0ms (1%)

simplify35.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series11.0ms (0.3%)

rewrite57.0ms (1.5%)

simplify59.0ms (1.6%)

eval18.0ms (0.5%)

prune150.0ms (4%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite40.0ms (1.1%)

simplify53.0ms (1.4%)

eval6.0ms (0.2%)

prune29.0ms (0.8%)

localize11.0ms (0.3%)

series22.0ms (0.6%)

rewrite63.0ms (1.7%)

simplify57.0ms (1.5%)

eval50.0ms (1.4%)

prune457.0ms (12.3%)

localize13.0ms (0.3%)

series15.0ms (0.4%)

rewrite58.0ms (1.6%)

simplify41.0ms (1.1%)

eval41.0ms (1.1%)

prune268.0ms (7.2%)

regimes52.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end27.0ms (0.7%)

Profiling