Details

analyze573.0ms (19.4%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample989.0ms (33.5%)

Results

871.0ms	8256×	body	128	valid
102.0ms	984×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess32.0ms (1.1%)

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)

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

3.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	3.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	11.6b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 66 to 39 computations (40.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	3.1b	(/.f64 (fma.f64 x y x) z)

series18.0ms (0.6%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(/.f64 (fma.f64 x y x) z)
1.0ms	z	@	-inf	(/.f64 (fma.f64 x y x) z)
1.0ms	x	@	-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)

rewrite51.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

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

simplify79.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

142 → 84

Calls

Call 1

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

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

prune48.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	82	4	86

Error

0.0b

Counts

86 → 4

Alt Table

Status	Error	Program
▶	3.4b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	3.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	3.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
	17.0b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 1283 to 396 computations (69.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	0.7b	(pow.f64 (/.f64 z (fma.f64 x y x)) -1)
✓	3.2b	(/.f64 z (fma.f64 x y x))

series18.0ms (0.6%)

Counts

3 → 108

Calls

27 calls:

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

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

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

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

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

299 → 222

Calls

Call 1

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

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

prune125.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	222	4	226

Error

0.0b

Counts

226 → 4

Alt Table

Status	Error	Program
✓	3.4b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	3.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	3.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
	17.0b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 3744 to 1162 computations (69% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1)
✓	0.0b	(+.f64 (/.f64 y z) (/.f64 1 z))
✓	3.6b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)

series10.0ms (0.4%)

Counts

3 → 45

Calls

21 calls:

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

rewrite77.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	227	39
2	3447	35

Stop Event

1×	node limit

Counts

3 → 209

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	448
1	37	448
2	62	407
3	106	353
4	260	353
5	640	353
6	1295	353
7	2200	353
8	2936	353
9	3208	353
10	3224	353
11	3224	353

Stop Event

1×

saturated

Counts

254 → 226

Calls

Call 1

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

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

prune166.0ms (5.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	224	6	230

Error

Counts

230 → 6

Alt Table

Status	Error	Program
✓	3.4b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
▶	4.1b	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)
✓	3.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	39.7b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 1 z) (+.f64 1 y) -1) x)) 2)
✓	3.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
	17.0b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 3844 to 2353 computations (38.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 y) (/.f64 1 z))
✓	0.4b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)
✓	3.6b	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)

series27.0ms (0.9%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)
4.0ms	y	@	-inf	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)
3.0ms	x	@	0	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)
2.0ms	y	@	0	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 y) 2)

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
201×	`prod-diff_binary64`
186×	`log-pow_binary64`
174×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	273	31
2	3304	31

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

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

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

simplify33.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
349×	`associate-/l*_binary64`
333×	`associate-/l/_binary64`
328×	`fma-neg_binary64`
304×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	490
1	61	454
2	113	338
3	281	338
4	604	338
5	1452	338
6	2622	338

Stop Event

1×	node limit

Counts

131 → 102

Calls

Call 1

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

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

prune110.0ms (3.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	127	6	133

Error

Counts

133 → 6

Alt Table

Status	Error	Program
✓	3.4b	(-.f64 (pow.f64 (/.f64 z (fma.f64 x y x)) -1) x)
✓	4.1b	(.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 z)) (/.f64 1 z)) 1) x)
✓	3.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	39.7b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 1 z) (+.f64 1 y) -1) x)) 2)
✓	3.9b	(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
	17.0b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 2528 to 1557 computations (38.4% saved)

regimes197.0ms (6.7%)

Accuracy

Total 0.3b remaining (96.8%)

Threshold costs 0.3b (96.8%)

Counts

34 → 3

Compiler

Compiled 340 to 180 computations (47.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

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

Steps

Iters	Point		Range
6e+304	∈ [	5.769252598421719e+304	,	6.331801760309983e+304	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-3.967475696942478e+307	]

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	92
1	48	92
2	56	92
3	60	92
4	62	92

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) -inf.0) (*.f64 (-.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 y z) (/.f64 1 z))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 2))) 1) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 59999999999999996355213150332187731160241723320703949719144629427939227378079403417059855544643046490621136708336973035472303162455816183181414793045201296649923808650092066246406261518974645435062318815291309594459838095304930995957294673617647698832076209511975434438445626285075759172449426088828862464) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (*.f64 y (/.f64 x z)) x)))

Outputs

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) -inf.0) (*.f64 (-.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 y z) (/.f64 1 z))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 2))) 1) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 59999999999999996355213150332187731160241723320703949719144629427939227378079403417059855544643046490621136708336973035472303162455816183181414793045201296649923808650092066246406261518974645435062318815291309594459838095304930995957294673617647698832076209511975434438445626285075759172449426088828862464) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (*.f64 y (/.f64 x z)) x)))

(if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) -inf.0) (*.f64 x (+.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 y z) (/.f64 1 z))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 2))) -1)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) 59999999999999996355213150332187731160241723320703949719144629427939227378079403417059855544643046490621136708336973035472303162455816183181414793045201296649923808650092066246406261518974645435062318815291309594459838095304930995957294673617647698832076209511975434438445626285075759172449426088828862464) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (*.f64 y (/.f64 x z)) x)))

end93.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 215 to 136 computations (36.7% saved)

Details

analyze573.0ms (19.4%)

sample989.0ms (33.5%)

preprocess32.0ms (1.1%)

simplify24.0ms (0.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series18.0ms (0.6%)

rewrite51.0ms (1.7%)

simplify79.0ms (2.7%)

prune48.0ms (1.6%)

localize6.0ms (0.2%)

series18.0ms (0.6%)

rewrite66.0ms (2.2%)

simplify57.0ms (1.9%)

prune125.0ms (4.2%)

localize12.0ms (0.4%)

series10.0ms (0.4%)

rewrite77.0ms (2.6%)

simplify66.0ms (2.2%)

prune166.0ms (5.6%)

localize10.0ms (0.3%)

series27.0ms (0.9%)

rewrite52.0ms (1.8%)

simplify33.0ms (1.1%)

prune110.0ms (3.7%)

regimes197.0ms (6.7%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end93.0ms (3.1%)

Profiling