Details

analyze341.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
3.1%	3.1%	96.7%	0.1%	0%	0%	0%	8
3.2%	3.1%	95.2%	0.1%	1.6%	0%	0%	9
20.2%	19.5%	76.8%	0.1%	3.5%	0%	0%	10
26.1%	25%	70.6%	0.1%	4.3%	0%	0%	11
29.9%	28.1%	65.7%	0.1%	6%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.4s (12.5%)

Results

1.2s	8256×	body	256	valid
206.0ms	1490×	body	256	infinite

Bogosity

preprocess72.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

830×	`fma-def_binary64`
805×	`div-sub_binary64`
737×	`times-frac_binary64`
408×	`distribute-rgt-in_binary64`
348×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	75	44
2	183	44
3	718	44
4	2247	44
5	7002	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 (*.f64 y (+.f64 1 (-.f64 x z))) 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)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

824×	`div-sub_binary64`
527×	`fma-neg_binary64`
465×	`distribute-rgt-in_binary64`
403×	`fma-def_binary64`
381×	`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	447	11
5	1043	11
6	2803	11
7	6368	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

3.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.8b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	11.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite68.0ms (0.6%)

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	2272	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 expm1.f64 (log1p.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x y x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 expm1.f64 (log1p.f64 (-.f64 (/.f64 (fma.f64 x y x) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 (fma.f64 x y x) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (fma.f64 x y x) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x y x) z)))))))

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

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-def_binary64`
464×	`fma-neg_binary64`
144×	`distribute-rgt-in_binary64`
112×	`distribute-lft-in_binary64`
96×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	797
1	89	797
2	207	737
3	595	647
4	1237	647
5	2170	647
6	2711	647
7	2859	647
8	2859	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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series11.0ms (0.1%)

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	x	@	inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
1.0ms	z	@	-inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
1.0ms	y	@	inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite136.0ms (1.2%)

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	3149	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 expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (-.f64 y z) x) z)))))) (#(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 +.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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(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 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(#(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 (-.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 (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 (-.f64 y z) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 y z) (sqrt.f64 x)) (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)))))

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary64`
507×	`div-sub_binary64`
383×	`times-frac_binary64`
328×	`associate-*l/_binary64`
328×	`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	624	637
5	1676	637
6	5911	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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 y x) z)
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(*.f64 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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 y x) z)
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(*.f64 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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.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 1 (-.f64 y z)) (/.f64 x z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.f64 y z)))
(fma.f64 x (-.f64 y z) x)
(*.f64 (-.f64 (+.f64 1 y) z) x)
(*.f64 x (+.f64 1 (-.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)))
(fma.f64 x (-.f64 y z) x)
(+.f64 (.f64 y x) (.f64 (-.f64 1 z) x))
(*.f64 x (+.f64 1 (-.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)))
(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)))
(fma.f64 x (-.f64 y z) x)
(+.f64 (.f64 y x) (.f64 (-.f64 1 z) x))
(*.f64 x (+.f64 1 (-.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)))
(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)))
(fma.f64 x (-.f64 y z) x)
(+.f64 (.f64 y x) (.f64 (-.f64 1 z) x))
(*.f64 x (+.f64 1 (-.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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(fma.f64 x (-.f64 y z) x)

eval65.0ms (0.6%)

Compiler: Compiled 2827 to 885 computations (68.7% saved)

prune38.0ms (0.3%)

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
	3.8b	(.f64 x (.f64 (+.f64 (-.f64 y z) 1) (/.f64 1 z)))
	3.9b	(-.f64 (*.f64 (fma.f64 x y x) (/.f64 1 z)) x)
	8.6b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
▶	34.3b	(neg.f64 x)
▶	31.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)
▶	14.2b	(-.f64 (*.f64 y (/.f64 x z)) x)
▶	22.6b	(-.f64 (/.f64 x z) x)
	16.3b	(-.f64 (/.f64 (*.f64 y x) z) x)
▶	3.7b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))
	44.3b	(*.f64 x (/.f64 y z))
	43.0b	(/.f64 (*.f64 y x) z)
	31.3b	(/.f64 (-.f64 x (*.f64 x z)) z)

Compiler

Compiled 244 to 160 computations (34.4% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
✓	0.1b	(/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))
✓	3.4b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))

Compiler

Compiled 42 to 21 computations (50% saved)

series25.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))
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	y	@	inf	(/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`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	3385	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 (cbrt.f64 (*.f64 x x)) (/.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 (cbrt.f64 (pow.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 expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 1 (-.f64 y z)) z))))))) (#(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 +.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)) (cbrt.f64 (pow.f64 (/.f64 z (+.f64 1 (-.f64 y z))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 z (+.f64 1 (-.f64 y 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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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 (+.f64 1 (-.f64 y z)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 y z)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (-.f64 y z)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (-.f64 y z)) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 z) (+.f64 1 (-.f64 y z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 y z))) (sqrt.f64 z)) 2)))) (#(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 (+.f64 1 (-.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((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)))) (cbrt.f64 (pow.f64 (/.f64 z (+.f64 1 (-.f64 y z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 z) 2) (*.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 (pow.f64 (cbrt.f64 z) 2) 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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 (sqrt.f64 (+.f64 1 (-.f64 y z)))) (/.f64 z (sqrt.f64 (+.f64 1 (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (+.f64 1 (-.f64 y z)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (+.f64 1 (-.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 expm1.f64 (log1p.f64 (/.f64 z (+.f64 1 (-.f64 y z)))))))) (#(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))))))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

415×	`times-frac_binary64`
404×	`distribute-rgt-in_binary64`
403×	`unswap-sqr_binary64`
374×	`distribute-lft-in_binary64`
311×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1344
1	251	1323
2	805	1201
3	4069	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)
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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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(/.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 (+.f64 1 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 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
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(*.f64 (+.f64 (/.f64 z (+.f64 1 y)) 1) (/.f64 z (+.f64 1 y)))
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(fma.f64 -1 (+.f64 (/.f64 (+.f64 1 y) z) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 z z))) -1)
(+.f64 -1 (*.f64 (/.f64 (+.f64 1 y) z) (-.f64 -1 (/.f64 (+.f64 1 y) z))))
(+.f64 -1 (*.f64 (/.f64 (+.f64 1 y) z) (+.f64 -1 (/.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 -1 (-.f64 (*.f64 (/.f64 (+.f64 1 y) z) (+.f64 -1 (/.f64 (-.f64 -1 y) z))) (pow.f64 (/.f64 (+.f64 1 y) z) 3)))
(/.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 (*.f64 y z) (pow.f64 (-.f64 1 z) 2))))
(-.f64 (/.f64 z (-.f64 1 z)) (/.f64 (*.f64 y z) (pow.f64 (-.f64 1 z) 2)))
(-.f64 (/.f64 z (-.f64 1 z)) (/.f64 y (/.f64 (pow.f64 (-.f64 1 z) 2) z)))
(*.f64 (+.f64 (neg.f64 (/.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 (.f64 y z) (pow.f64 (-.f64 1 z) 2)) (/.f64 (.f64 z (*.f64 y y)) (pow.f64 (-.f64 1 z) 3))))
(+.f64 (/.f64 z (-.f64 1 z)) (-.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 3)) z) (/.f64 (*.f64 y z) (pow.f64 (-.f64 1 z) 2))))
(+.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 (/.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 2)) 1) (/.f64 y (-.f64 1 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 (.f64 y z) (pow.f64 (-.f64 1 z) 2)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (-.f64 1 z) 4) z)) (/.f64 (.f64 z (*.f64 y y)) (pow.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 z (-.f64 1 z)) (-.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 3)) z) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 4)) z)) (/.f64 (.f64 y z) (pow.f64 (-.f64 1 z) 2))))
(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 y (/.f64 (-.f64 1 z) y)) (/.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 z y) (/.f64 (-.f64 1 z) y)))
(-.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 z y) (/.f64 (-.f64 1 z) y))) (.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) z))
(+.f64 (/.f64 z y) (.f64 z (-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) (/.f64 (-.f64 1 z) (.f64 y 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 z y) (/.f64 (-.f64 1 z) y))) (.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) z)) (*.f64 (/.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 y 4)) z))
(+.f64 (/.f64 z y) (-.f64 (.f64 z (-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) (/.f64 (-.f64 1 z) (.f64 y y)))) (/.f64 (pow.f64 (-.f64 1 z) 3) (/.f64 (pow.f64 y 4) z))))
(+.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 z y) (/.f64 (-.f64 1 z) y)))
(-.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 z y) (/.f64 (-.f64 1 z) y))) (.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) z))
(+.f64 (/.f64 z y) (.f64 z (-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) (/.f64 (-.f64 1 z) (.f64 y 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 z y) (/.f64 (-.f64 1 z) y))) (.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) z)) (*.f64 (/.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 y 4)) z))
(+.f64 (/.f64 z y) (-.f64 (.f64 z (-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 y 3)) (/.f64 (-.f64 1 z) (.f64 y y)))) (/.f64 (pow.f64 (-.f64 1 z) 3) (/.f64 (pow.f64 y 4) z))))
(+.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%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (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	@	0	(-.f64 (/.f64 x z) x)
0.0ms	z	@	-inf	(-.f64 (/.f64 x z) x)
0.0ms	x	@	-inf	(-.f64 (/.f64 x z) x)

rewrite131.0ms (1.2%)

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	1742	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 expm1.f64 (log1p.f64 (-.f64 (/.f64 x z) x)))))) (#(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 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))))))

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

68×	`fma-def_binary64`
63×	`fma-neg_binary64`
22×	`distribute-rgt-in_binary64`
19×	`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	133	157
4	256	157
5	383	157
6	457	157
7	499	157
8	510	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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(*.f64 y (/.f64 x z))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite78.0ms (0.7%)

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 y (/.f64 x z))

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

simplify17.0ms (0.1%)

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 → 23

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

9 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)
1.0ms	y	@	0	(/.f64 (*.f64 (+.f64 1 y) x) z)
1.0ms	y	@	inf	(/.f64 (*.f64 (+.f64 1 y) x) z)
1.0ms	z	@	-inf	(/.f64 (*.f64 (+.f64 1 y) x) z)

rewrite71.0ms (0.6%)

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	10
1	168	10
2	2331	10

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`fma-def_binary64`
15×	`associate-r_binary64`
14×	`associate-l_binary64`
14×	`associate-/l*_binary64`
9×	`*-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	135
1	12	135
2	16	117
3	19	117
4	22	108
5	26	108
6	32	108
7	41	108
8	63	90
9	90	90
10	125	90
11	160	90
12	185	90
13	189	90

Stop Event

1×

saturated

Counts

53 → 46

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))

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

eval238.0ms (2.1%)

Compiler: Compiled 4083 to 2213 computations (45.8% saved)

prune109.0ms (1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	284	7	291
Fresh	5	2	7
Picked	0	1	1
Done	1	3	4
Total	290	13	303

Error

Counts

303 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.3b	(/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))
	44.3b	(*.f64 x (/.f64 y z))
▶	14.3b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	31.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	14.2b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	22.6b	(-.f64 (/.f64 x z) x)
	16.3b	(-.f64 (/.f64 (*.f64 y x) z) x)
	32.6b	(*.f64 (/.f64 (+.f64 1 y) z) x)
▶	43.0b	(/.f64 (*.f64 y x) z)
✓	34.3b	(neg.f64 x)
	31.3b	(.f64 (/.f64 1 z) (+.f64 x (.f64 y x)))
▶	50.7b	(/.f64 x z)
▶	31.3b	(/.f64 (-.f64 x (*.f64 x z)) z)

Compiler

Compiled 205 to 132 computations (35.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (+.f64 1 (-.f64 y z)))
✓	3.1b	(/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series53.0ms (0.5%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
49.0ms	z	@	-inf	(/.f64 z (+.f64 1 (-.f64 y z)))
0.0ms	x	@	0	(/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))
0.0ms	y	@	inf	(/.f64 z (+.f64 1 (-.f64 y z)))
0.0ms	y	@	0	(/.f64 z (+.f64 1 (-.f64 y z)))
0.0ms	y	@	-inf	(/.f64 z (+.f64 1 (-.f64 y z)))

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`prod-diff_binary64`
550×	`log-prod_binary64`
337×	`fma-def_binary64`
282×	`pow2_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	23
2	3164	23

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

415×	`times-frac_binary64`
403×	`unswap-sqr_binary64`
395×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`
311×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1086
1	240	1065
2	786	1003
3	4038	901

Stop Event

1×	node limit

Counts

169 → 150

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 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)))
(+.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))))
(/.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)))
(+.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))))

Outputs
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(/.f64 (*.f64 x (-.f64 (+.f64 1 y) z)) z)
(/.f64 x (/.f64 z (-.f64 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
(*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))
(-.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 (+.f64 1 y) z)))
(*.f64 (/.f64 x z) (+.f64 1 (-.f64 y z)))
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localize4.0ms (0%)

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

localize94.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.5b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite56.0ms (0.5%)

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 y x) z)

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(/.f64 y (/.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

simplify14.0ms (0.1%)

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 → 42

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.2b	(/.f64 (-.f64 x (*.f64 x z)) z)

Compiler

Compiled 20 to 6 computations (70% saved)

series33.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(/.f64 (-.f64 x (*.f64 x z)) z)
1.0ms	x	@	inf	(/.f64 (-.f64 x (*.f64 x z)) z)
1.0ms	x	@	0	(/.f64 (-.f64 x (*.f64 x z)) z)
1.0ms	z	@	-inf	(/.f64 (-.f64 x (*.f64 x z)) z)
0.0ms	z	@	0	(/.f64 (-.f64 x (*.f64 x z)) z)

rewrite179.0ms (1.6%)

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	10
1	142	10
2	2277	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 x (*.f64 x z)) 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 expm1.f64 (log1p.f64 (/.f64 (-.f64 x (*.f64 x z)) z)))))) (#(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)))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

699×	`div-sub_binary64`
679×	`fma-neg_binary64`
439×	`distribute-frac-neg_binary64`
365×	`associate-/l*_binary64`
330×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	220
1	31	220
2	51	220
3	88	157
4	200	157
5	444	157
6	1491	157
7	4159	157
8	7308	157

Stop Event

1×	node limit

Counts

57 → 40

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))

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

eval151.0ms (1.3%)

Compiler: Compiled 3688 to 1695 computations (54% saved)

prune134.0ms (1.2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	269	4	273
Fresh	3	1	4
Picked	0	1	1
Done	1	7	8
Total	273	13	286

Error

Counts

286 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(-.f64 (/.f64 y (/.f64 z x)) x)
▶	44.3b	(*.f64 (/.f64 y z) x)
✓	31.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	14.2b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	22.6b	(-.f64 (/.f64 x z) x)
▶	16.3b	(-.f64 (/.f64 (*.f64 y x) z) x)
▶	44.1b	(/.f64 x (/.f64 z y))
▶	43.0b	(.f64 (/.f64 1 z) (.f64 y x))
✓	43.0b	(/.f64 (*.f64 y x) z)
✓	34.3b	(neg.f64 x)
✓	50.7b	(/.f64 x z)
▶	32.3b	(/.f64 x (/.f64 z (+.f64 1 y)))
✓	31.3b	(/.f64 (-.f64 x (*.f64 x z)) z)

Compiler

Compiled 159 to 103 computations (35.2% saved)

localize23.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.5b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify25.0ms (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

59 → 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 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 y x) z)
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))

localize52.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 x (/.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

simplify14.0ms (0.1%)

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 → 42

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.6b	(.f64 (/.f64 1 z) (.f64 y x))

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
700×	`add-log-exp_binary64`
700×	`log1p-expm1-u_binary64`
700×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	159	7
2	1940	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

simplify13.0ms (0.1%)

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

62 → 27

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

localize673.0ms (6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(/.f64 x (/.f64 z (+.f64 1 y)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
370×	`exp-prod_binary64`
306×	`prod-exp_binary64`
261×	`pow-prod-down_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	10
2	2526	10

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

51×	`fma-def_binary64`
14×	`associate-/l*_binary64`
14×	`associate-/r/_binary64`
13×	`associate-r_binary64`
10×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	348
1	21	348
2	35	282
3	50	282
4	100	282
5	137	282
6	167	282
7	185	282
8	188	282

Stop Event

1×

saturated

Counts

119 → 89

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 (*.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))

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

eval77.0ms (0.7%)

Compiler: Compiled 2349 to 946 computations (59.7% saved)

prune57.0ms (0.5%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	0	0	0
Picked	0	1	1
Done	1	11	12
Total	222	14	236

Error

Counts

236 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.3b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	44.3b	(*.f64 (/.f64 y z) x)
✓	31.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	14.2b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	22.6b	(-.f64 (/.f64 x z) x)
✓	16.3b	(-.f64 (/.f64 (*.f64 y x) z) x)
✓	44.1b	(/.f64 x (/.f64 z y))
	42.4b	(/.f64 y (/.f64 z x))
✓	43.0b	(.f64 (/.f64 1 z) (.f64 y x))
✓	34.3b	(neg.f64 x)
✓	50.7b	(/.f64 x z)
✓	32.3b	(/.f64 x (/.f64 z (+.f64 1 y)))
	42.3b	(*.f64 (/.f64 x z) y)
✓	31.3b	(/.f64 (-.f64 x (*.f64 x z)) z)

Compiler

Compiled 121 to 78 computations (35.5% saved)

regimes229.0ms (2%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	x
67.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
48.0ms	z
31.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
2.2b	2	`y`
0.8b	2	`z`
0.1b	3	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 211 to 90 computations (57.3% saved)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.09185764049456e-145	6.0395532601227045e-140
3.0ms	-1.6455893728692566e+178	-9.443701204015525e+177

Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes127.0ms (1.1%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	x
35.0ms	z
31.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
13.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
3.3b	1	`y`
0.1b	3	`z`
0.1b	3	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 193 to 83 computations (57% saved)

bsearch80.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	8.158627563396084e-47	1.7482684440014418e-46
23.0ms	-1.5534397385832405e-11	-7.130403841603499e-20

Compiler

Compiled 70 to 49 computations (30% saved)

regimes61.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	z
13.0ms	x
11.0ms	y

Results

Error	Segments	Branch
3.3b	1	`x`
3.3b	1	`y`
0.1b	3	`z`

Compiler

Compiled 141 to 56 computations (60.3% saved)

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	8.158627563396084e-47	1.7482684440014418e-46
18.0ms	-1.5534397385832405e-11	-7.130403841603499e-20

Compiler

Compiled 66 to 47 computations (28.8% saved)

regimes193.0ms (1.7%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	x
45.0ms	z
27.0ms	y

Results

Error	Segments	Branch
10.1b	4	`x`
2.6b	3	`y`
2.3b	3	`z`

Compiler

Compiled 123 to 47 computations (61.8% saved)

bsearch149.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
129.0ms	0.000565460407112389	24.709366908894815
19.0ms	-58212442611471720.0	-3.2070404135786204e-6

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes312.0ms (2.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

169.0ms	x
91.0ms	z
46.0ms	y

Results

Error	Segments	Branch
10.1b	4	`x`
2.7b	3	`y`
2.4b	3	`z`

Compiler

Compiled 102 to 42 computations (58.8% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.000565460407112389	24.709366908894815
29.0ms	-58212442611471720.0	-3.2070404135786204e-6

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes309.0ms (2.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

139.0ms	z
87.0ms	x
53.0ms	y

Results

Error	Segments	Branch
10.1b	4	`x`
2.7b	3	`y`
5.6b	3	`z`

Compiler

Compiled 95 to 38 computations (60% saved)

bsearch133.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	5.777014375517274e-7	2186319.6115242816
88.0ms	-149.5986447389087	-0.040849873580836735

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes322.0ms (2.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

181.0ms	x
90.0ms	z
46.0ms	y

Results

Error	Segments	Branch
16.4b	9	`x`
10.3b	3	`y`
11.6b	3	`z`

Compiler

Compiled 74 to 32 computations (56.8% saved)

bsearch359.0ms (3.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
335.0ms	6.878516885036001e+140	7.190372699980308e+151
23.0ms	-5.004291982121553e+77	-1.658728790750096e+68

Compiler

Compiled 198 to 133 computations (32.8% saved)

regimes239.0ms (2.1%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

3 calls:

121.0ms	x
91.0ms	z
26.0ms	y

Results

Error	Segments	Branch
25.8b	9	`x`
20.7b	5	`y`
17.2b	7	`z`

Compiler

Compiled 45 to 23 computations (48.9% saved)

bsearch495.0ms (4.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
46.0ms	5.280853505289251e+22	5.937521469645276e+26
71.0ms	2.6474211383781e-148	2.3500460331437456e-139
15.0ms	-4.829001561355254e-234	-2.085053660447156e-235
112.0ms	-1.1853428284423976e-145	-7.345829536438894e-152
197.0ms	-2.1738802234338564e-31	-7.958764626826541e-34
52.0ms	-1.8785255008240393e+85	-4.5516363031610777e+83

Compiler

Compiled 546 to 376 computations (31.1% saved)

regimes236.0ms (2.1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

112.0ms	x
86.0ms	z
35.0ms	y

Results

Error	Segments	Branch
26.1b	11	`x`
20.8b	5	`y`
17.2b	7	`z`

Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch661.0ms (5.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
32.0ms	5.280853505289251e+22	5.937521469645276e+26
94.0ms	2.6474211383781e-148	2.3500460331437456e-139
26.0ms	-4.829001561355254e-234	-2.085053660447156e-235
108.0ms	-1.1853428284423976e-145	-7.345829536438894e-152
365.0ms	-2.1738802234338564e-31	-7.958764626826541e-34
36.0ms	-1.8785255008240393e+85	-4.5516363031610777e+83

Compiler

Compiled 546 to 376 computations (31.1% saved)

regimes165.0ms (1.5%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	x
61.0ms	z
36.0ms	y

Results

Error	Segments	Branch
27.2b	9	`x`
20.8b	5	`y`
17.4b	7	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch311.0ms (2.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
20.0ms	5.280853505289251e+22	5.937521469645276e+26
61.0ms	2.6474211383781e-148	2.3500460331437456e-139
17.0ms	-4.829001561355254e-234	-2.085053660447156e-235
58.0ms	-1.1853428284423976e-145	-7.345829536438894e-152
130.0ms	-2.1738802234338564e-31	-7.958764626826541e-34
26.0ms	-6.0011780056835e+69	-5.330918869713802e+67

Compiler

Compiled 546 to 376 computations (31.1% saved)

regimes80.0ms (0.7%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
25.0ms	z
17.0ms	y

Results

Error	Segments	Branch
26.3b	11	`x`
20.9b	5	`y`
17.5b	7	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch536.0ms (4.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	5.280853505289251e+22	5.937521469645276e+26
55.0ms	2.6474211383781e-148	2.3500460331437456e-139
50.0ms	-4.829001561355254e-234	-2.085053660447156e-235
157.0ms	-1.1853428284423976e-145	-7.345829536438894e-152
235.0ms	-2.1738802234338564e-31	-7.958764626826541e-34
20.0ms	-6.0011780056835e+69	-5.330918869713802e+67

Compiler

Compiled 546 to 376 computations (31.1% saved)

regimes23.0ms (0.2%)

Accuracy

Total -38.5b remaining (-165.3%)

Threshold costs -38.5b (-165.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
9.0ms	z
3.0ms	x

Results

Error	Segments	Branch
34.3b	1	`x`
32.9b	3	`y`
23.3b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch69.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.000565460407112389	24.709366908894815
49.0ms	-58212442611471720.0	-3.2070404135786204e-6

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	616
1	125	616
2	135	616
3	138	616
4	139	616

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272) (*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))) (if (<=.f64 x 6140216750622953/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (-.f64 (/.f64 (fma.f64 x y x) z) x) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1)) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (*.f64 (+.f64 1 y) x) z) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -58212442611471720) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 (.f64 (+.f64 1 y) x) z) (-.f64 (/.f64 (*.f64 y x) z) x)))
(if (<=.f64 z -58212442611471720) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 (.f64 (+.f64 1 y) x) z) (-.f64 (/.f64 (.f64 y x) z) x)))
(if (<=.f64 y -5263534380478753/35184372088832) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 y 2728117905799889/4722366482869645213696) (-.f64 (/.f64 x z) x) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 y -500429198212155330041759971725409286300920365874002849837851590386945062076416) (/.f64 (*.f64 y x) z) (if (<=.f64 y 70999999999999997003940198577938092194712953248142432013779639974475472333108231234878778816606374305421982172930473874564585681416896329871715855237120) (-.f64 (/.f64 x z) x) (/.f64 y (/.f64 z x))))
(if (<=.f64 z -18785255008240393317290107729976075994452971816164477583408205451137834360613975883776) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 x (/.f64 z y)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 x z) y) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (.f64 (/.f64 x z) y) (neg.f64 x)))))))
(if (<=.f64 z -18785255008240393317290107729976075994452971816164477583408205451137834360613975883776) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (.f64 (/.f64 y z) x) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 x z) y) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (*.f64 (/.f64 x z) y) (neg.f64 x)))))))
(if (<=.f64 z -6001178005683499637407901020858090468141308496149324455441739089444864) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 y (/.f64 z x)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 x z) y) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (.f64 (/.f64 x z) y) (neg.f64 x)))))))
(if (<=.f64 z -6001178005683499637407901020858090468141308496149324455441739089444864) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 y (/.f64 z x)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -3007084911439871/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (/.f64 y (/.f64 z x)) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (/.f64 y (/.f64 z x)) (neg.f64 x)))))))
(if (<=.f64 z -58212442611471720) (neg.f64 x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 x -10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272) (*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1)))) (if (<=.f64 x 6140216750622953/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (-.f64 (/.f64 (fma.f64 x y x) z) x) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 x -10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272) (*.f64 x (/.f64 1 (/.f64 z (+.f64 1 (-.f64 y z))))) (if (<=.f64 x 6140216750622953/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (-.f64 (/.f64 (fma.f64 x y x) z) x) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1)) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z)) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (*.f64 (+.f64 1 y) x) z) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (*.f64 x (+.f64 1 y)) z) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -58212442611471720) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 (.f64 (+.f64 1 y) x) z) (-.f64 (/.f64 (*.f64 y x) z) x)))
(if (<=.f64 z -58212442611471720) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 (.f64 x (+.f64 1 y)) z) (-.f64 (/.f64 (*.f64 x y) z) x)))
(if (<=.f64 z -58212442611471720) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 (.f64 (+.f64 1 y) x) z) (-.f64 (/.f64 (.f64 y x) z) x)))
(if (<=.f64 z -58212442611471720) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 (.f64 x (+.f64 1 y)) z) (-.f64 (/.f64 (.f64 x y) z) x)))
(if (<=.f64 y -5263534380478753/35184372088832) (-.f64 (/.f64 y (/.f64 z x)) x) (if (<=.f64 y 2728117905799889/4722366482869645213696) (-.f64 (/.f64 x z) x) (-.f64 (/.f64 y (/.f64 z x)) x)))
(if (<=.f64 y -500429198212155330041759971725409286300920365874002849837851590386945062076416) (/.f64 (*.f64 y x) z) (if (<=.f64 y 70999999999999997003940198577938092194712953248142432013779639974475472333108231234878778816606374305421982172930473874564585681416896329871715855237120) (-.f64 (/.f64 x z) x) (/.f64 y (/.f64 z x))))
(if (<=.f64 y -500429198212155330041759971725409286300920365874002849837851590386945062076416) (/.f64 (*.f64 x y) z) (if (<=.f64 y 70999999999999997003940198577938092194712953248142432013779639974475472333108231234878778816606374305421982172930473874564585681416896329871715855237120) (-.f64 (/.f64 x z) x) (/.f64 y (/.f64 z x))))
(if (<=.f64 z -18785255008240393317290107729976075994452971816164477583408205451137834360613975883776) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 x (/.f64 z y)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 x z) y) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (.f64 (/.f64 x z) y) (neg.f64 x)))))))
(if (<=.f64 z -18785255008240393317290107729976075994452971816164477583408205451137834360613975883776) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 x (/.f64 z y)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 y (/.f64 x z)) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (.f64 y (/.f64 x z)) (neg.f64 x)))))))
(if (<=.f64 z -18785255008240393317290107729976075994452971816164477583408205451137834360613975883776) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (.f64 (/.f64 y z) x) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 x z) y) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (*.f64 (/.f64 x z) y) (neg.f64 x)))))))
(if (<=.f64 z -18785255008240393317290107729976075994452971816164477583408205451137834360613975883776) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (.f64 x (/.f64 y z)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 y (/.f64 x z)) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (*.f64 y (/.f64 x z)) (neg.f64 x)))))))
(if (<=.f64 z -6001178005683499637407901020858090468141308496149324455441739089444864) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 y (/.f64 z x)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 x z) y) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (.f64 (/.f64 x z) y) (neg.f64 x)))))))
(if (<=.f64 z -6001178005683499637407901020858090468141308496149324455441739089444864) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 y (/.f64 z x)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 y (/.f64 x z)) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (.f64 y (/.f64 x z)) (neg.f64 x)))))))
(if (<=.f64 z -6001178005683499637407901020858090468141308496149324455441739089444864) (neg.f64 x) (if (<=.f64 z -2454866031454251/11417981541647679048466287755595961091061972992) (/.f64 y (/.f64 z x)) (if (<=.f64 z -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 x z) (if (<=.f64 z -3007084911439871/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (/.f64 y (/.f64 z x)) (if (<=.f64 z 6167591647773595/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 x z) (if (<=.f64 z 52808535052892506161152) (/.f64 y (/.f64 z x)) (neg.f64 x)))))))
(if (<=.f64 z -58212442611471720) (neg.f64 x) (if (<=.f64 z 2607725853454463/4611686018427387904) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Compiler

Compiled 464 to 252 computations (45.7% saved)

soundness0.0ms (0%)

end215.0ms (1.9%)

Compiler: Compiled 428 to 183 computations (57.2% saved)

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	133	157
4	256	157
5	383	157
6	457	157
7	499	157
8	510	157

Iter	Nodes	Cost
0	8	135
1	12	135
2	16	117
3	19	117
4	22	108
5	26	108
6	32	108
7	41	108
8	63	90
9	90	90
10	125	90
11	160	90
12	185	90
13	189	90

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	133	157
4	256	157
5	383	157
6	457	157
7	499	157
8	510	157

Iter	Nodes	Cost
0	8	135
1	12	135
2	16	117
3	19	117
4	22	108
5	26	108
6	32	108
7	41	108
8	63	90
9	90	90
10	125	90
11	160	90
12	185	90
13	189	90

Iter	Nodes	Cost
0	14	220
1	30	220
2	61	157
3	133	157
4	256	157
5	383	157
6	457	157
7	499	157
8	510	157

Iter	Nodes	Cost
0	8	135
1	12	135
2	16	117
3	19	117
4	22	108
5	26	108
6	32	108
7	41	108
8	63	90
9	90	90
10	125	90
11	160	90
12	185	90
13	189	90