Details

analyze722.0ms (7.2%)

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)

sample1.5s (14.7%)

Results

1.3s	8256×	body	256	valid
180.0ms	1568×	body	256	infinite

Bogosity

preprocess89.0ms (0.9%)

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)

simplify81.0ms (0.8%)

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)

prune3.0ms (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

2.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.8b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	9.4b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series21.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/.f64 (fma.f64 x y x) z)
2.0ms	x	@	-inf	(/.f64 (fma.f64 x y x) z)
2.0ms	x	@	0	(/.f64 (fma.f64 x y x) z)
2.0ms	x	@	inf	(/.f64 (fma.f64 x y x) z)
1.0ms	z	@	0	(/.f64 (fma.f64 x y x) z)

rewrite111.0ms (1.1%)

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))))))

simplify137.0ms (1.4%)

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)

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	8.8b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series26.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
4.0ms	z	@	inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
2.0ms	x	@	0	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
1.0ms	z	@	-inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
1.0ms	y	@	inf	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite121.0ms (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)))))

simplify125.0ms (1.2%)

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)

eval73.0ms (0.7%)

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

prune75.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	202	10	212
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	204	10	214

Error

Counts

214 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	46.2b	(/.f64 (*.f64 y x) z)
	29.4b	(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) 2) -1) x) (+.f64 (-.f64 y z) -1)) z)
	9.4b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
▶	9.2b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
▶	31.3b	(/.f64 (*.f64 (+.f64 1 y) x) z)
	47.9b	(*.f64 x (/.f64 y z))
▶	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)
	18.7b	(-.f64 (/.f64 (*.f64 y x) z) x)
▶	33.2b	(neg.f64 x)
▶	17.5b	(-.f64 (/.f64 x z) x)

Compiler

Compiled 206 to 132 computations (35.9% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.2b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`prod-diff_binary64`
522×	`log-prod_binary64`
383×	`fma-def_binary64`
277×	`pow2_binary64`
245×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	206	13
2	3171	11

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-neg_binary64`
539×	`fma-def_binary64`
335×	`div-sub_binary64`
333×	`times-frac_binary64`
326×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	430
1	43	430
2	87	428
3	201	365
4	538	365
5	1309	365
6	4903	365
7	7785	365

Stop Event

1×	node limit

Counts

129 → 105

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))

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

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)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify27.0ms (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 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	2.8b	(*.f64 y (/.f64 x z))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2291	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
134×	`fma-neg_binary64`
61×	`cancel-sign-sub-inv_binary64`
53×	`associate-/l*_binary64`
49×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	642
1	39	582
2	80	582
3	180	582
4	401	582
5	724	582
6	1011	582
7	1156	582
8	1170	582
9	1175	582

Stop Event

1×

saturated

Counts

129 → 64

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series18.0ms (0.2%)

Counts

2 → 24

Calls

15 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2331	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 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))))))))

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

86 → 71

Calls

Call 1

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

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

eval94.0ms (0.9%)

Compiler: Compiled 3623 to 1230 computations (66.1% saved)

prune107.0ms (1.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	2	3	5
Picked	0	1	1
Done	1	3	4
Total	281	12	293

Error

Counts

293 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.7b	(-.f64 (/.f64 1 (/.f64 z (*.f64 y x))) x)
▶	9.4b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
	33.1b	(*.f64 (/.f64 (+.f64 1 y) z) x)
▶	18.7b	(*.f64 (-.f64 (/.f64 y z) 1) x)
▶	46.8b	(*.f64 y (/.f64 x z))
✓	31.3b	(/.f64 (*.f64 (+.f64 1 y) x) z)
	47.9b	(*.f64 x (/.f64 y z))
	46.2b	(/.f64 (*.f64 y x) z)
✓	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	33.2b	(neg.f64 x)
▶	47.0b	(/.f64 x z)
✓	17.5b	(-.f64 (/.f64 x z) x)

Compiler

Compiled 181 to 118 computations (34.8% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x (-.f64 y z)) x)
✓	0.0b	(*.f64 x (-.f64 y z))
✓	8.8b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series24.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite125.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	185	26
2	2856	26

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-neg_binary64`
580×	`fma-def_binary64`
457×	`div-sub_binary64`
452×	`associate-/l*_binary64`
340×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	1002
1	83	1000
2	183	880
3	463	880
4	1756	877
5	6455	877

Stop Event

1×	node limit

Counts

256 → 174

Calls

Call 1

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

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

localize9.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`pow1_binary64`
821×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
804×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	10
2	2230	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-def_binary64`
220×	`fma-neg_binary64`
85×	`cancel-sign-sub-inv_binary64`
65×	`distribute-rgt-in_binary64`
55×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	246
1	15	210
2	24	210
3	37	210
4	61	210
5	108	210
6	243	210
7	509	210
8	915	210
9	1214	210
10	1473	210
11	1485	210
12	1499	210
13	1504	210

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (/.f64 z (*.f64 y x))) x)
✓	0.5b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	4.7b	(/.f64 z (*.f64 y x))

Compiler

Compiled 31 to 11 computations (64.5% saved)

series18.0ms (0.2%)

Counts

3 → 72

Calls

27 calls:

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

rewrite146.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`prod-diff_binary64`
533×	`log-prod_binary64`
326×	`pow-prod-down_binary64`
262×	`pow2_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	198	24
2	2875	24

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

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

Outputs

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

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
134×	`fma-neg_binary64`
61×	`cancel-sign-sub-inv_binary64`
53×	`associate-/l*_binary64`
49×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	642
1	39	582
2	80	582
3	180	582
4	401	582
5	724	582
6	1011	582
7	1156	582
8	1170	582
9	1175	582

Stop Event

1×

saturated

Counts

320 → 256

Calls

Call 1

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

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

eval288.0ms (2.9%)

Compiler: Compiled 6569 to 2135 computations (67.5% saved)

prune200.0ms (2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	472	4	476
Fresh	2	1	3
Picked	1	0	1
Done	0	8	8
Total	475	13	488

Error

Counts

488 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.8b	(/.f64 y (/.f64 z x))
✓	9.4b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
▶	33.1b	(*.f64 (/.f64 (+.f64 1 y) z) x)
▶	46.2b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	33.2b	(neg.f64 x)
✓	18.7b	(*.f64 (-.f64 (/.f64 y z) 1) x)
✓	46.8b	(*.f64 y (/.f64 x z))
✓	31.3b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)
▶	46.2b	(/.f64 (*.f64 y x) z)
▶	47.7b	(/.f64 x (/.f64 z y))
✓	47.0b	(/.f64 x z)
✓	17.5b	(-.f64 (/.f64 x z) x)

Compiler

Compiled 157 to 103 computations (34.4% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 y) z)
✓	2.8b	(*.f64 (/.f64 (+.f64 1 y) z) x)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

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

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
840×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2282	17

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

51×	`fma-def_binary64`
14×	`associate-/l*_binary64`
14×	`associate-/r/_binary64`
13×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	15	549
1	25	549
2	38	483
3	53	483
4	103	384
5	139	384
6	168	357
7	183	357
8	186	357

Stop Event

1×

saturated

Counts

102 → 63

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(/.f64 x (/.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite76.0ms (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 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))))))))

simplify28.0ms (0.3%)

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))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (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))))))))

simplify28.0ms (0.3%)

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))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite111.0ms (1.1%)

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)))))))

simplify15.0ms (0.2%)

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1 (/.f64 z (*.f64 y x)))
	4.7b	(/.f64 z (*.f64 y x))

Compiler

Compiled 22 to 8 computations (63.6% saved)

eval137.0ms (1.4%)

Compiler: Compiled 3033 to 1275 computations (58% saved)

prune209.0ms (2.1%)

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	0	0
Picked	0	1	1
Done	0	12	12
Total	296	13	309

Error

Counts

309 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.8b	(/.f64 y (/.f64 z x))
✓	9.4b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
✓	33.1b	(*.f64 (/.f64 (+.f64 1 y) z) x)
✓	46.2b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	33.2b	(neg.f64 x)
✓	18.7b	(*.f64 (-.f64 (/.f64 y z) 1) x)
✓	46.8b	(*.f64 y (/.f64 x z))
✓	31.3b	(/.f64 (*.f64 (+.f64 1 y) x) z)
✓	17.6b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	46.2b	(/.f64 (*.f64 y x) z)
✓	47.7b	(/.f64 x (/.f64 z y))
✓	47.0b	(/.f64 x z)
✓	17.5b	(-.f64 (/.f64 x z) x)

Compiler

Compiled 113 to 74 computations (34.5% saved)

regimes304.0ms (3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

91.0ms	z
80.0ms	y
64.0ms	x
59.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Results

Error	Segments	Branch
0.8b	2	`x`
1.8b	3	`y`
0.1b	3	`z`
0.1b	3	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 170 to 74 computations (56.5% saved)

bsearch87.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.745511975168955e+25	2.604838280065014e+27
36.0ms	-2.1142930087444127e+41	-1.7706516104403397e+41

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes288.0ms (2.9%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

90.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
67.0ms	y
65.0ms	x
58.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	3	`y`
0.1b	3	`z`
0.1b	3	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 145 to 62 computations (57.2% saved)

bsearch78.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	1.745511975168955e+25	2.604838280065014e+27
38.0ms	-5.453868583007536e+39	-1.529252162792108e+39

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes109.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	z
25.0ms	x
25.0ms	y

Results

Error	Segments	Branch
12.9b	3	`x`
2.1b	3	`y`
1.3b	3	`z`

Compiler

Compiled 106 to 43 computations (59.4% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.006262635244108357	42.57667003121387
20.0ms	-6966093.79249439	-1.9324173069435966

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes118.0ms (1.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	x
22.0ms	y
21.0ms	z

Results

Error	Segments	Branch
12.6b	7	`x`
3.1b	3	`y`
4.1b	3	`z`

Compiler

Compiled 76 to 34 computations (55.3% saved)

bsearch67.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	8.57933886062398e-8	0.0009095770023062737
20.0ms	-830378832015.8176	-111556.92464946791

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes164.0ms (1.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	z
54.0ms	y
41.0ms	x

Results

Error	Segments	Branch
14.1b	7	`x`
9.4b	3	`y`
10.5b	5	`z`

Compiler

Compiled 69 to 31 computations (55.1% saved)

bsearch90.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	7.03267366161646e+33	1.6645789351193555e+34
54.0ms	-2.458911898659107e+37	-2.7697736594324837e+29

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes422.0ms (4.2%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

3 calls:

217.0ms	y
125.0ms	z
76.0ms	x

Results

Error	Segments	Branch
30.6b	5	`x`
19.4b	9	`y`
16.4b	6	`z`

Compiler

Compiled 50 to 23 computations (54% saved)

bsearch359.0ms (3.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
41.0ms	42.57667003121387	796805664.6992865
184.0ms	-1.0946913491616444e-53	-3.9198140061626175e-55
59.0ms	-6966093.79249439	-1.9324173069435966
44.0ms	-2.4605299645019312e+73	-6.471670755590433e+72
30.0ms	-4.9574965230891476e+120	-7.781841954059999e+115

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes99.0ms (1%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	x
31.0ms	y
23.0ms	z

Results

Error	Segments	Branch
30.7b	5	`x`
20.0b	9	`y`
16.4b	6	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch173.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
30.0ms	42.57667003121387	796805664.6992865
83.0ms	-1.0946913491616444e-53	-3.9198140061626175e-55
19.0ms	-6966093.79249439	-1.9324173069435966
20.0ms	-2.4605299645019312e+73	-6.471670755590433e+72
20.0ms	-4.9574965230891476e+120	-7.781841954059999e+115

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes49.0ms (0.5%)

Accuracy

Total -42.9b remaining (-229.5%)

Threshold costs -42.9b (-229.5%)

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:

35.0ms	y
9.0ms	z
4.0ms	x

Results

Error	Segments	Branch
33.2b	1	`x`
27.5b	7	`y`
18.7b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	42.57667003121387	796805664.6992865
19.0ms	-1.9324173069435966	-0.33560574355546846

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
7×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	341
1	97	341
2	106	341
3	109	341
4	110	341

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -211429300874441270557390974673591436574720) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 17455119751689550268727296) (-.f64 (/.f64 (fma.f64 x y x) z) x) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -5453868583007536374033290018598642778112) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 17455119751689550268727296) (/.f64 (+.f64 (.f64 x (-.f64 y z)) x) z) (*.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -1869946563727001/268435456) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 z 7220326848441275/1152921504606846976) (/.f64 (.f64 (+.f64 1 y) x) z) (*.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 y -3401231695936789/4096) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 y 6482365164894677/75557863725914323419136) (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 y -24589118986591069053561342268111060992) (/.f64 (.f64 y x) z) (if (<=.f64 y 7032673661616460499359504791502848) (-.f64 (/.f64 x z) x) (/.f64 (.f64 y x) z)))
(if (<=.f64 z -4957496523089147596441159767225867349180495271619044871968262117271578401026885618292899877895914251745245021739969150976) (neg.f64 x) (if (<=.f64 z -24605299645019311779707661578141615468397828042280818102750598495326961664) (/.f64 y (/.f64 z x)) (if (<=.f64 z -1869946563727001/268435456) (neg.f64 x) (if (<=.f64 z -5521397077432451/13803492693581127574869511724554050904902217944340773110325048447598592) (/.f64 (*.f64 y x) z) (if (<=.f64 z 5992133602726605/140737488355328) (/.f64 x z) (neg.f64 x))))))
(if (<=.f64 z -4957496523089147596441159767225867349180495271619044871968262117271578401026885618292899877895914251745245021739969150976) (neg.f64 x) (if (<=.f64 z -24605299645019311779707661578141615468397828042280818102750598495326961664) (/.f64 y (/.f64 z x)) (if (<=.f64 z -1869946563727001/268435456) (neg.f64 x) (if (<=.f64 z -4572406954748749/431359146674410236714672241392314090778194310760649159697657763987456) (/.f64 y (/.f64 z x)) (if (<=.f64 z 5992133602726605/140737488355328) (/.f64 x z) (neg.f64 x))))))
(if (<=.f64 z -8702833863475479/4503599627370496) (neg.f64 x) (if (<=.f64 z 5992133602726605/140737488355328) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 z -211429300874441270557390974673591436574720) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 17455119751689550268727296) (-.f64 (/.f64 (fma.f64 x y x) z) x) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -211429300874441270557390974673591436574720) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 17455119751689550268727296) (-.f64 (/.f64 (fma.f64 x y x) z) x) (.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 z -5453868583007536374033290018598642778112) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 17455119751689550268727296) (/.f64 (+.f64 (.f64 x (-.f64 y z)) x) z) (*.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -5453868583007536374033290018598642778112) (-.f64 (.f64 y (/.f64 x z)) x) (if (<=.f64 z 17455119751689550268727296) (/.f64 (+.f64 x (.f64 x (-.f64 y z))) z) (*.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 z -1869946563727001/268435456) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 z 7220326848441275/1152921504606846976) (/.f64 (.f64 (+.f64 1 y) x) z) (*.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -1869946563727001/268435456) (.f64 x (+.f64 (/.f64 y z) -1)) (if (<=.f64 z 7220326848441275/1152921504606846976) (/.f64 (.f64 x (+.f64 y 1)) z) (*.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 y -3401231695936789/4096) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 y 6482365164894677/75557863725914323419136) (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 y -3401231695936789/4096) (.f64 x (+.f64 (/.f64 y z) -1)) (if (<=.f64 y 6482365164894677/75557863725914323419136) (-.f64 (/.f64 x z) x) (.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 y -24589118986591069053561342268111060992) (/.f64 (.f64 y x) z) (if (<=.f64 y 7032673661616460499359504791502848) (-.f64 (/.f64 x z) x) (/.f64 (.f64 y x) z)))
(if (<=.f64 z -4957496523089147596441159767225867349180495271619044871968262117271578401026885618292899877895914251745245021739969150976) (neg.f64 x) (if (<=.f64 z -24605299645019311779707661578141615468397828042280818102750598495326961664) (/.f64 y (/.f64 z x)) (if (<=.f64 z -1869946563727001/268435456) (neg.f64 x) (if (<=.f64 z -5521397077432451/13803492693581127574869511724554050904902217944340773110325048447598592) (/.f64 (*.f64 y x) z) (if (<=.f64 z 5992133602726605/140737488355328) (/.f64 x z) (neg.f64 x))))))
(if (<=.f64 z -4957496523089147596441159767225867349180495271619044871968262117271578401026885618292899877895914251745245021739969150976) (neg.f64 x) (if (<=.f64 z -24605299645019311779707661578141615468397828042280818102750598495326961664) (/.f64 y (/.f64 z x)) (if (<=.f64 z -1869946563727001/268435456) (neg.f64 x) (if (<=.f64 z -4572406954748749/431359146674410236714672241392314090778194310760649159697657763987456) (/.f64 y (/.f64 z x)) (if (<=.f64 z 5992133602726605/140737488355328) (/.f64 x z) (neg.f64 x))))))
(if (<=.f64 z -8702833863475479/4503599627370496) (neg.f64 x) (if (<=.f64 z 5992133602726605/140737488355328) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Compiler

Compiled 262 to 151 computations (42.4% saved)

soundness1.1s (11%)

Algorithm

5×	egg-herbie

Rules

824×	`div-sub_binary64`
824×	`div-sub_binary64`
824×	`div-sub_binary64`
593×	`fma-def_binary64`
593×	`fma-def_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
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
0	9	13
1	25	11
2	56	11
3	175	11
4	447	11
5	1043	11
6	2803	11
7	6368	11
0	9	13
1	25	11
2	56	11
3	175	11
4	447	11
5	1043	11
6	2803	11
7	6368	11
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
1×	node limit
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 3488 to 2153 computations (38.3% saved)

end167.0ms (1.7%)

Compiler: Compiled 238 to 108 computations (54.6% 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	9	189
1	18	189
2	27	171
3	36	171
4	45	162
5	75	144
6	95	144
7	133	144
8	164	144
9	167	144

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

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

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

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