Details

analyze301.0ms (5.1%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (17.1%)

Results

853.0ms	8256×	body	256	valid
148.0ms	1440×	body	256	invalid

preprocess46.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

830×	`fma-def_binary64`
805×	`div-sub_binary64`
737×	`times-frac_binary64`
438×	`distribute-rgt-in_binary64`
331×	`associate-/l*_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
5	6977	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 15 to 11 computations (26.7% saved)

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

825×	`div-sub_binary64`
527×	`fma-neg_binary64`
472×	`distribute-rgt-in_binary64`
407×	`fma-def_binary64`
379×	`distribute-lft-in_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
7	6349	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

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

4.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
▶	4.3b	(-.f64 (/.f64 (fma.f64 x y x) z) x)

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.1b	(/.f64 (fma.f64 x y x) z)
	0.0b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	0.0b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	4.1b	(/.f64 (fma.f64 x y x) z)

Compiler

Compiled 24 to 6 computations (75% saved)

series11.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
849×	`add-exp-log_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 → 66

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

Outputs

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

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

138 → 82

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.4b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	10.4b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`prod-diff_binary64`
539×	`log-prod_binary64`
353×	`fma-def_binary64`
277×	`pow2_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	19
2	3128	19

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

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

Outputs

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary64`
506×	`div-sub_binary64`
389×	`times-frac_binary64`
330×	`associate-/l*_binary64`
318×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	764
1	59	764
2	115	760
3	238	637
4	611	637
5	1616	637
6	5840	637

Stop Event

1×	node limit

Counts

177 → 130

Calls

Call 1

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

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

eval38.0ms (0.6%)

Compiler: Compiled 2827 to 894 computations (68.4% saved)

prune35.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	200	12	212
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	202	12	214

Error

Counts

214 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(-.f64 (*.f64 y (/.f64 x z)) x)
	7.8b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
	18.3b	(-.f64 (/.f64 x z) x)
	32.5b	(*.f64 (/.f64 (+.f64 (-.f64 y z) 1) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
	11.1b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
	32.6b	(/.f64 (*.f64 (+.f64 1 y) x) z)
	8.0b	(.f64 (+.f64 (-.f64 y z) 1) (.f64 x (/.f64 1 z)))
▶	28.2b	(/.f64 (-.f64 x (*.f64 x z)) z)
▶	4.9b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))
▶	31.8b	(neg.f64 x)
▶	49.8b	(*.f64 x (/.f64 y z))
	46.2b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 254 to 166 computations (34.6% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.5b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))
	0.1b	(/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))
	0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
✓	0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
✓	0.1b	(/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))
✓	4.5b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))

Compiler

Compiled 42 to 21 computations (50% saved)

series9.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary64`
504×	`prod-diff_binary64`
325×	`fma-def_binary64`
297×	`pow2_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	230	33
2	3368	33

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

420×	`distribute-rgt-in_binary64`
415×	`times-frac_binary64`
403×	`unswap-sqr_binary64`
376×	`distribute-lft-in_binary64`
313×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1344
1	251	1323
2	805	1201
3	4007	1159

Stop Event

1×	node limit

Counts

216 → 179

Calls

Call 1

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	7.9b	(*.f64 x (/.f64 y z))
✓	7.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite35.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.7b	(/.f64 (-.f64 x (*.f64 x z)) z)
	0.0b	(-.f64 x (*.f64 x z))
✓	0.0b	(-.f64 x (*.f64 x z))
✓	9.7b	(/.f64 (-.f64 x (*.f64 x z)) z)

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	142	17
2	2270	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (-.f64 x (*.f64 x z)) z)
(-.f64 x (*.f64 x z))

Outputs

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

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

966×	`div-sub_binary64`
494×	`fma-def_binary64`
463×	`associate-/r/_binary64`
256×	`distribute-frac-neg_binary64`
252×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	380
1	40	380
2	65	380
3	109	317
4	225	317
5	543	317
6	1716	317
7	3872	317
8	6401	317

Stop Event

1×	node limit

Counts

119 → 85

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
862×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2285	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
134×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
52×	`associate-/l*_binary64`
51×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	642
1	39	582
2	80	582
3	169	582
4	384	582
5	706	582
6	990	582
7	1132	582
8	1146	582
9	1151	582

Stop Event

1×

saturated

Counts

129 → 64

Calls

Call 1

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

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

eval74.0ms (1.3%)

Compiler: Compiled 4897 to 2330 computations (52.4% saved)

prune53.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	346	6	352
Fresh	4	3	7
Picked	1	0	1
Done	2	2	4
Total	353	11	364

Error

Counts

364 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	18.4b	(*.f64 x (+.f64 -1 (/.f64 1 z)))
	18.3b	(-.f64 (/.f64 x z) x)
▶	11.1b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
▶	32.6b	(/.f64 (*.f64 (+.f64 1 y) x) z)
▶	45.9b	(*.f64 y (/.f64 x z))
✓	31.8b	(neg.f64 x)
	36.2b	(*.f64 x (/.f64 (+.f64 1 y) z))
▶	15.5b	(-.f64 (/.f64 y (/.f64 z x)) x)
	46.2b	(/.f64 (*.f64 x y) z)
✓	49.8b	(*.f64 x (/.f64 y z))
▶	49.2b	(/.f64 x z)

Compiler

Compiled 177 to 117 computations (33.9% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	10.4b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
	0.0b	(+.f64 (*.f64 x (-.f64 y z)) x)
	0.0b	(*.f64 x (-.f64 y z))
✓	0.0b	(*.f64 x (-.f64 y z))
✓	0.0b	(+.f64 (*.f64 x (-.f64 y z)) x)
✓	10.4b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series10.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
403×	`fma-def_binary64`
368×	`exp-prod_binary64`
360×	`pow-prod-down_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	185	26
2	2845	26

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-neg_binary64`
578×	`fma-def_binary64`
456×	`div-sub_binary64`
372×	`associate-/l*_binary64`
277×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	1002
1	83	1000
2	183	880
3	462	880
4	1745	877
5	5847	877
6	7745	877

Stop Event

1×	node limit

Counts

256 → 174

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.2b	(*.f64 y (/.f64 x z))
	2.2b	(*.f64 y (/.f64 x z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.4b	(/.f64 y (/.f64 z x))
	0.0b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	0.0b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	2.4b	(/.f64 y (/.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`prod-diff_binary64`
482×	`log-prod_binary64`
274×	`pow-prod-down_binary64`
274×	`fma-def_binary64`
231×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2553	17

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
134×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
52×	`associate-/l*_binary64`
51×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	642
1	39	582
2	80	582
3	169	582
4	384	582
5	706	582
6	990	582
7	1132	582
8	1146	582
9	1151	582

Stop Event

1×

saturated

Counts

266 → 202

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.1b	(/.f64 (*.f64 (+.f64 1 y) x) z)
	0.0b	(*.f64 (+.f64 1 y) x)
✓	0.0b	(*.f64 (+.f64 1 y) x)
✓	4.1b	(/.f64 (*.f64 (+.f64 1 y) x) z)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

15 calls:

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
866×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2325	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
14×	`associate-/l*_binary64`
13×	`associate-r_binary64`
12×	`associate-/r/_binary64`
9×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	189
1	18	189
2	27	171
3	36	171
4	45	162
5	75	144
6	95	144
7	133	144
8	164	144
9	167	144

Stop Event

1×

saturated

Counts

86 → 71

Calls

Call 1

Inputs
(/.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))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)

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

eval90.0ms (1.5%)

Compiler: Compiled 6242 to 2054 computations (67.1% saved)

prune107.0ms (1.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	466	2	468
Fresh	0	4	4
Picked	0	1	1
Done	0	6	6
Total	466	13	479

Error

Counts

479 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	18.4b	(*.f64 x (+.f64 -1 (/.f64 1 z)))
▶	18.3b	(-.f64 (/.f64 x z) x)
✓	11.1b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
✓	32.6b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	45.9b	(*.f64 y (/.f64 x z))
▶	32.6b	(/.f64 (+.f64 x (*.f64 x y)) z)
▶	46.1b	(/.f64 y (/.f64 z x))
✓	31.8b	(neg.f64 x)
▶	36.2b	(*.f64 x (/.f64 (+.f64 1 y) z))
✓	15.5b	(-.f64 (/.f64 y (/.f64 z x)) x)
▶	46.2b	(/.f64 (*.f64 x y) z)
✓	49.8b	(*.f64 x (/.f64 y z))
✓	49.2b	(/.f64 x z)

Compiler

Compiled 167 to 110 computations (34.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1736	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

68×	`fma-def_binary64`
63×	`fma-neg_binary64`
23×	`distribute-rgt-in_binary64`
20×	`distribute-lft-in_binary64`
18×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	128	157
4	250	157
5	377	157
6	451	157
7	493	157
8	504	157

Stop Event

1×

saturated

Counts

60 → 43

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.7b	(/.f64 (*.f64 x y) z)
✓	6.7b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite38.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.4b	(/.f64 y (/.f64 z x))
	2.4b	(/.f64 y (/.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.6b	(*.f64 x (/.f64 (+.f64 1 y) z))
	0.0b	(/.f64 (+.f64 1 y) z)
✓	0.0b	(/.f64 (+.f64 1 y) z)
✓	4.6b	(*.f64 x (/.f64 (+.f64 1 y) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(/.f64 (+.f64 1 y) z)
0.0ms	y	@	-inf	(/.f64 (+.f64 1 y) z)
0.0ms	z	@	0	(/.f64 (+.f64 1 y) z)
0.0ms	y	@	0	(/.f64 (+.f64 1 y) z)
0.0ms	z	@	inf	(/.f64 (+.f64 1 y) z)

rewrite87.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2280	17

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

51×	`fma-def_binary64`
14×	`associate-/l*_binary64`
14×	`associate-/r/_binary64`
13×	`associate-r_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	15	450
1	25	450
2	38	384
3	53	384
4	103	384
5	139	384
6	168	357
7	183	357
8	186	357

Stop Event

1×

saturated

Counts

101 → 63

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.1b	(/.f64 (+.f64 x (*.f64 x y)) z)
	0.0b	(+.f64 x (*.f64 x y))
✓	0.0b	(+.f64 x (*.f64 x y))
✓	4.1b	(/.f64 (+.f64 x (*.f64 x y)) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 (+.f64 x (*.f64 x y)) z)
1.0ms	x	@	-inf	(/.f64 (+.f64 x (*.f64 x y)) z)
1.0ms	z	@	inf	(/.f64 (+.f64 x (*.f64 x y)) z)
0.0ms	z	@	-inf	(/.f64 (+.f64 x (*.f64 x y)) z)
0.0ms	x	@	0	(/.f64 (+.f64 x (*.f64 x y)) z)

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	13
2	2261	13

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-def_binary64`
336×	`fma-neg_binary64`
144×	`distribute-rgt-in_binary64`
130×	`distribute-lft-in_binary64`
102×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	396
1	47	396
2	101	396
3	234	396
4	583	396
5	1308	396
6	2292	396
7	2507	396
8	2539	396
9	2539	396

Stop Event

1×

saturated

Counts

129 → 82

Calls

Call 1

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

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

eval58.0ms (1%)

Compiler: Compiled 3015 to 1209 computations (59.9% saved)

prune67.0ms (1.1%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	1	0	1
Picked	0	1	1
Done	0	11	11
Total	283	14	297

Error

Counts

297 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	18.4b	(*.f64 (-.f64 (/.f64 1 z) 1) x)
✓	45.9b	(*.f64 y (/.f64 x z))
✓	11.1b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
✓	32.6b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	32.6b	(/.f64 (+.f64 x (*.f64 x y)) z)
✓	46.1b	(/.f64 y (/.f64 z x))
✓	18.3b	(-.f64 (/.f64 x z) x)
	49.2b	(*.f64 x (/.f64 1 z))
✓	31.8b	(neg.f64 x)
✓	36.2b	(*.f64 x (/.f64 (+.f64 1 y) z))
✓	15.5b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	46.2b	(/.f64 (*.f64 x y) z)
✓	49.8b	(*.f64 x (/.f64 y z))
✓	49.2b	(/.f64 x z)

Compiler

Compiled 121 to 80 computations (33.9% saved)

regimes110.0ms (1.9%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	x
23.0ms	z
21.0ms	y

Results

Error	Segments	Branch
2.7b	3	`x`
2.3b	3	`y`
0.8b	3	`z`

Compiler

Compiled 94 to 45 computations (52.1% saved)

bsearch55.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	39557020297.2278	1.9506817526496094e+24
19.0ms	-1.3712974317740827e+50	-1.2254894290237636e+49

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes168.0ms (2.8%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

96.0ms	z
50.0ms	x
19.0ms	y

Results

Error	Segments	Branch
12.7b	4	`x`
2.3b	3	`y`
2.1b	3	`z`

Compiler

Compiled 85 to 41 computations (51.8% saved)

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.042407764899373986	17279320.916008476
21.0ms	-5496757.232677175	-0.5540785653474194

Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes112.0ms (1.9%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	x
40.0ms	z
20.0ms	y

Results

Error	Segments	Branch
12.7b	4	`x`
2.3b	3	`y`
2.1b	3	`z`

Compiler

Compiled 71 to 32 computations (54.9% saved)

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.042407764899373986	17279320.916008476
19.0ms	-5496757.232677175	-0.5540785653474194

Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes66.0ms (1.1%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(-.f64 (/.f64 y (/.f64 z x)) x)
(-.f64 (/.f64 x z) x)
(-.f64 (/.f64 y (/.f64 z x)) x)

Calls

3 calls:

30.0ms	x
17.0ms	z
17.0ms	y

Results

Error	Segments	Branch
12.9b	4	`x`
2.3b	3	`y`
6.9b	3	`z`

Compiler

Compiled 64 to 30 computations (53.1% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.0008738801419590957	11389.67406174437
19.0ms	-27.340922656872998	-0.06226416681515335

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes55.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(*.f64 y (/.f64 x z))
(-.f64 (/.f64 x z) x)
(/.f64 (*.f64 x y) z)

Calls

3 calls:

25.0ms	z
15.0ms	y
14.0ms	x

Results

Error	Segments	Branch
17.1b	3	`x`
9.9b	3	`y`
15.3b	5	`z`

Compiler

Compiled 50 to 25 computations (50% saved)

bsearch103.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	8.69400927200075e+76	2.7935803590104255e+80
19.0ms	-3.374842221325893e+58	-3.89321671113991e+55

Compiler

Compiled 162 to 109 computations (32.7% saved)

regimes51.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(/.f64 y (/.f64 z x))
(-.f64 (/.f64 x z) x)
(/.f64 (*.f64 x y) z)

Calls

3 calls:

22.0ms	z
14.0ms	y
13.0ms	x

Results

Error	Segments	Branch
17.1b	3	`x`
10.0b	3	`y`
15.3b	5	`z`

Compiler

Compiled 45 to 24 computations (46.7% saved)

bsearch126.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	8.69400927200075e+76	2.7935803590104255e+80
18.0ms	-3.374842221325893e+58	-3.89321671113991e+55

Compiler

Compiled 162 to 109 computations (32.7% saved)

regimes53.0ms (0.9%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(/.f64 (*.f64 x y) z)
(-.f64 (/.f64 x z) x)
(/.f64 (*.f64 x y) z)

Calls

3 calls:

21.0ms	z
18.0ms	x
12.0ms	y

Results

Error	Segments	Branch
17.1b	3	`x`
10.5b	3	`y`
15.3b	5	`z`

Compiler

Compiled 40 to 22 computations (45% saved)

bsearch123.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	8.69400927200075e+76	2.7935803590104255e+80
20.0ms	-3.374842221325893e+58	-3.89321671113991e+55

Compiler

Compiled 162 to 109 computations (32.7% saved)

regimes120.0ms (2%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	z
37.0ms	y
33.0ms	x

Results

Error	Segments	Branch
28.9b	5	`x`
22.8b	5	`y`
16.3b	7	`z`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch645.0ms (10.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
165.0ms	3.725544403430983e-6	0.0003140729235596496
39.0ms	4.112063703908304e-57	9.572494546096353e-57
32.0ms	6.433993205239132e-260	2.209551466540392e-254
77.0ms	-1.5926455738026651e-145	-9.959088191258588e-159
64.0ms	-2.542010892278806e-46	-1.383241739543608e-47
268.0ms	-5496757.232677175	-0.5540785653474194

Compiler

Compiled 722 to 514 computations (28.8% saved)

regimes65.0ms (1.1%)

Accuracy

Total -42.9b remaining (-222.2%)

Threshold costs -42.9b (-222.2%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(neg.f64 x)
(/.f64 x z)
(neg.f64 x)

Calls

3 calls:

45.0ms	y
10.0ms	z
9.0ms	x

Results

Error	Segments	Branch
30.6b	3	`x`
24.9b	7	`y`
19.3b	3	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch547.0ms (9.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
280.0ms	3.725544403430983e-6	0.0003140729235596496
267.0ms	-5496757.232677175	-0.5540785653474194

Compiler

Compiled 226 to 173 computations (23.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	360
1	83	360
2	90	360
3	93	360
4	94	360

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z -137129743177408267619390177708812017157882630897664) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 2592408882199121/65536) (/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -1) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 1) (/.f64 (*.f64 (+.f64 1 y) x) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -1) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 1) (/.f64 (+.f64 x (*.f64 x y)) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 y -3847892784045587/140737488355328) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 y 8060121664908205/9223372036854775808) (-.f64 (/.f64 x z) x) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (.f64 y (/.f64 x z)) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (/.f64 y (/.f64 z x)) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 x y) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (/.f64 (.f64 x y) z) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))
(if (<=.f64 z -1) (neg.f64 x) (if (<=.f64 z -5759265950624221/411376139330301510538742295639337626245683966408394965837152256) (/.f64 x z) (if (<=.f64 z -8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (/.f64 (.f64 x y) z) (if (<=.f64 z 9001800702051809/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (/.f64 x z) (if (<=.f64 z 4196261778848663/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 (.f64 x y) z) (if (<=.f64 z 5718490662849961/18446744073709551616) (/.f64 x z) (neg.f64 x)))))))
(if (<=.f64 z -1) (neg.f64 x) (if (<=.f64 z 5718490662849961/18446744073709551616) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 z -137129743177408267619390177708812017157882630897664) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 2592408882199121/65536) (/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -137129743177408267619390177708812017157882630897664) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 2592408882199121/65536) (/.f64 (+.f64 x (*.f64 x (-.f64 y z))) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -1) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 1) (/.f64 (*.f64 (+.f64 1 y) x) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -1) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 1) (/.f64 (*.f64 x (+.f64 y 1)) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -1) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 1) (/.f64 (+.f64 x (*.f64 x y)) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 z -1) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 1) (/.f64 (+.f64 x (*.f64 y x)) z) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 y -3847892784045587/140737488355328) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 y 8060121664908205/9223372036854775808) (-.f64 (/.f64 x z) x) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (.f64 y (/.f64 x z)) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (.f64 y (/.f64 x z)) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (.f64 y x) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (/.f64 y (/.f64 z x)) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 x y) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (/.f64 y (/.f64 z x)) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 y x) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (/.f64 (.f64 x y) z) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))
(if (<=.f64 y -33748422213258928968890886869080962216156803999372509446144) (/.f64 (.f64 y x) z) (if (<=.f64 y 269999999999999982958599238572048808239306984592796932744503336535191770248511488) (-.f64 (/.f64 x z) x) (/.f64 (.f64 y x) z)))
(if (<=.f64 z -1) (neg.f64 x) (if (<=.f64 z -5759265950624221/411376139330301510538742295639337626245683966408394965837152256) (/.f64 x z) (if (<=.f64 z -8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (/.f64 (.f64 x y) z) (if (<=.f64 z 9001800702051809/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (/.f64 x z) (if (<=.f64 z 4196261778848663/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 (.f64 x y) z) (if (<=.f64 z 5718490662849961/18446744073709551616) (/.f64 x z) (neg.f64 x)))))))
(if (<=.f64 z -1) (neg.f64 x) (if (<=.f64 z -5759265950624221/411376139330301510538742295639337626245683966408394965837152256) (/.f64 x z) (if (<=.f64 z -8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (/.f64 (.f64 y x) z) (if (<=.f64 z 9001800702051809/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (/.f64 x z) (if (<=.f64 z 4196261778848663/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 (.f64 y x) z) (if (<=.f64 z 5718490662849961/18446744073709551616) (/.f64 x z) (neg.f64 x)))))))
(if (<=.f64 z -1) (neg.f64 x) (if (<=.f64 z 5718490662849961/18446744073709551616) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

end116.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 531 to 231 computations (56.5% saved)

Iter	Nodes	Cost
0	9	189
1	18	189
2	27	171
3	36	171
4	45	162
5	75	144
6	95	144
7	133	144
8	164	144
9	167	144

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	128	157
4	250	157
5	377	157
6	451	157
7	493	157
8	504	157

Iter	Nodes	Cost
0	9	189
1	18	189
2	27	171
3	36	171
4	45	162
5	75	144
6	95	144
7	133	144
8	164	144
9	167	144

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	128	157
4	250	157
5	377	157
6	451	157
7	493	157
8	504	157

Iter	Nodes	Cost
0	9	189
1	18	189
2	27	171
3	36	171
4	45	162
5	75	144
6	95	144
7	133	144
8	164	144
9	167	144

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	128	157
4	250	157
5	377	157
6	451	157
7	493	157
8	504	157