Details

analyze425.0ms (4.3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.6s (15.8%)

Results

1.4s	8256×	body	256	valid
202.0ms	1506×	body	256	infinite

Bogosity

preprocess67.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	75	44
2	183	44
3	718	44
4	2247	44
5	7002	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

824×	`div-sub_binary64`
527×	`fma-neg_binary64`
465×	`distribute-rgt-in_binary64`
403×	`fma-def_binary64`
381×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	56	11
3	175	11
4	447	11
5	1043	11
6	2803	11
7	6368	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

3.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.1b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	10.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	2.9b	(/.f64 (fma.f64 x y x) z)

Compiler

Compiled 24 to 6 computations (75% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

138 → 82

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	9.6b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series41.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.7%)

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)))))

simplify79.0ms (0.8%)

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)

eval44.0ms (0.4%)

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

prune43.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Error

0.0b

Counts

214 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(-.f64 (/.f64 (*.f64 y x) z) x)
	4.6b	(*.f64 (/.f64 (+.f64 (-.f64 y z) 1) (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
	10.2b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
▶	3.7b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))
	45.9b	(/.f64 (*.f64 y x) z)
▶	15.4b	(-.f64 (*.f64 y (/.f64 x z)) x)
	11.3b	(.f64 (+.f64 (-.f64 y z) 1) (.f64 x (/.f64 1 z)))
▶	18.8b	(-.f64 (/.f64 x z) x)
	11.2b	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) 1))
▶	31.7b	(neg.f64 x)
▶	33.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)
	48.1b	(*.f64 x (/.f64 y z))

Compiler

Compiled 258 to 170 computations (34.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 21 computations (50% saved)

series10.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	230	33
2	3385	33

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

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

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

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1344
1	251	1323
2	805	1201
3	4069	1159

Stop Event

1×	node limit

Counts

216 → 179

Calls

Call 1

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

localize5.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y (/.f64 x z)) x)
✓	3.7b	(*.f64 y (/.f64 x z))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.7%)

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))))))

simplify60.0ms (0.6%)

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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 y) x)
✓	2.9b	(/.f64 (*.f64 (+.f64 1 y) x) z)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

15 calls:

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

rewrite71.0ms (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)))))))

simplify21.0ms (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)

eval102.0ms (1%)

Compiler: Compiled 4902 to 2461 computations (49.8% saved)

prune68.0ms (0.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	349	8	357
Fresh	6	1	7
Picked	0	1	1
Done	1	3	4
Total	356	13	369

Error

Counts

369 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(/.f64 (+.f64 (*.f64 y x) x) z)
▶	17.2b	(*.f64 (-.f64 (/.f64 y z) 1) x)
▶	49.5b	(/.f64 x z)
	16.3b	(-.f64 (/.f64 x (/.f64 z y)) x)
	18.8b	(*.f64 (-.f64 (/.f64 1 z) 1) x)
	48.1b	(*.f64 x (/.f64 y z))
✓	18.8b	(-.f64 (/.f64 x z) x)
▶	15.5b	(-.f64 (/.f64 y (/.f64 z x)) x)
▶	45.9b	(/.f64 (*.f64 y x) z)
✓	15.4b	(-.f64 (*.f64 y (/.f64 x z)) x)
▶	10.2b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
✓	31.7b	(neg.f64 x)
✓	33.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)

Compiler

Compiled 201 to 130 computations (35.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	0.0b	(+.f64 (*.f64 x (-.f64 y z)) x)
✓	9.6b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series23.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite114.0ms (1.1%)

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

Outputs

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

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

((#(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))))))

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-neg_binary64`
580×	`fma-def_binary64`
459×	`div-sub_binary64`
452×	`associate-/l*_binary64`
341×	`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	6452	877

Stop Event

1×	node limit

Counts

256 → 174

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite76.0ms (0.8%)

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 (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(*.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	x	@	inf	(*.f64 (-.f64 (/.f64 y z) 1) x)
1.0ms	y	@	-inf	(*.f64 (-.f64 (/.f64 y z) 1) x)

rewrite72.0ms (0.7%)

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)))))))

simplify85.0ms (0.8%)

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)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	3.9b	(/.f64 y (/.f64 z x))

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

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2556	17

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.9%)

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

266 → 202

Calls

Call 1

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

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

eval159.0ms (1.6%)

Compiler: Compiled 5973 to 1915 computations (67.9% saved)

prune88.0ms (0.9%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	438	4	442
Fresh	3	1	4
Picked	0	1	1
Done	1	7	8
Total	442	13	455

Error

Counts

455 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.2b	(*.f64 (-.f64 (/.f64 y z) 1) x)
▶	33.2b	(/.f64 (+.f64 (*.f64 y x) x) z)
✓	49.5b	(/.f64 x z)
▶	18.8b	(*.f64 (-.f64 (/.f64 1 z) 1) x)
✓	15.5b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	45.9b	(/.f64 (*.f64 y x) z)
✓	18.8b	(-.f64 (/.f64 x z) x)
▶	16.3b	(-.f64 (/.f64 x (/.f64 z y)) x)
✓	10.2b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
✓	31.7b	(neg.f64 x)
▶	48.1b	(*.f64 (/.f64 y z) x)
✓	33.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)
▶	46.2b	(*.f64 y (/.f64 x z))

Compiler

Compiled 161 to 105 computations (34.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x (/.f64 z y)) x)
✓	6.0b	(/.f64 x (/.f64 z y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`prod-diff_binary64`
477×	`log-prod_binary64`
271×	`pow-prod-down_binary64`
258×	`fma-def_binary64`
231×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2546	17

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.6%)

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: 0 (0.0ms)

Iter	Nodes	Cost
0	17	582
1	39	582
2	80	582
3	180	582
4	401	582
5	723	582
6	1008	582
7	1152	582
8	1166	582
9	1171	582

Stop Event

1×

saturated

Counts

262 → 198

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 (/.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))
(*.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))

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	3.7b	(*.f64 y (/.f64 x z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 (/.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

59 → 24

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0%)

Counts

2 → 15

Calls

9 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
663×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	148	17
2	1889	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

183×	`fma-def_binary64`
135×	`fma-neg_binary64`
53×	`cancel-sign-sub-inv_binary64`
26×	`distribute-rgt-in_binary64`
22×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	15	79
2	18	79
3	23	79
4	31	79
5	49	79
6	96	79
7	142	79
8	232	79
9	443	79
10	756	79
11	816	79
12	836	79
13	850	79

Stop Event

1×

saturated

Counts

65 → 57

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) x)
✓	2.9b	(/.f64 (+.f64 (*.f64 y x) x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series42.0ms (0.4%)

Counts

2 → 39

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	z	@	-inf	(/.f64 (+.f64 (*.f64 y x) x) z)
1.0ms	x	@	-inf	(/.f64 (+.f64 (*.f64 y x) x) z)
1.0ms	z	@	inf	(/.f64 (+.f64 (*.f64 y x) x) z)
1.0ms	y	@	inf	(/.f64 (+.f64 (*.f64 y x) x) z)
0.0ms	y	@	0	(/.f64 (+.f64 (*.f64 y x) x) z)

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	157	13
2	2335	13

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-def_binary64`
332×	`fma-neg_binary64`
149×	`distribute-rgt-in_binary64`
134×	`distribute-lft-in_binary64`
101×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	384
1	42	384
2	95	318
3	232	255
4	583	255
5	1341	255
6	2350	255
7	2565	255
8	2597	255
9	2597	255

Stop Event

1×

saturated

Counts

114 → 87

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 -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))
x
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))

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

eval162.0ms (1.6%)

Compiler: Compiled 4805 to 1799 computations (62.6% saved)

prune127.0ms (1.3%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	384	3	387
Fresh	0	0	0
Picked	0	1	1
Done	2	10	12
Total	386	14	400

Error

Counts

400 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	46.2b	(/.f64 y (/.f64 z x))
✓	15.5b	(-.f64 (/.f64 y (/.f64 z x)) x)
✓	17.2b	(*.f64 (-.f64 (/.f64 y z) 1) x)
✓	33.2b	(/.f64 (+.f64 (*.f64 y x) x) z)
✓	49.5b	(/.f64 x z)
✓	18.8b	(*.f64 (-.f64 (/.f64 1 z) 1) x)
	49.5b	(*.f64 (/.f64 1 z) x)
✓	46.2b	(*.f64 y (/.f64 x z))
✓	45.9b	(/.f64 (*.f64 y x) z)
✓	18.8b	(-.f64 (/.f64 x z) x)
✓	10.2b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
	47.2b	(/.f64 x (/.f64 z y))
✓	31.7b	(neg.f64 x)
✓	33.2b	(/.f64 (*.f64 (+.f64 1 y) x) z)

Compiler

Compiled 121 to 80 computations (33.9% saved)

regimes169.0ms (1.7%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	y
41.0ms	z
39.0ms	x
27.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Results

Error	Segments	Branch
0.1b	3	`x`
0.6b	4	`y`
0.1b	3	`z`
1.1b	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 224 to 88 computations (60.7% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.32224112985121e+31	8.297160677121284e+31
20.0ms	-2002941667198.213	-238524970491.08618

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes313.0ms (3.1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

4 calls:

121.0ms	y
107.0ms	x
42.0ms	z
36.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Results

Error	Segments	Branch
0.2b	3	`x`
0.7b	4	`y`
0.1b	3	`z`
0.2b	3	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 201 to 77 computations (61.7% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.32224112985121e+31	8.297160677121284e+31
20.0ms	-2002941667198.213	-238524970491.08618

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes288.0ms (2.9%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

114.0ms	y
84.0ms	x
83.0ms	z

Results

Error	Segments	Branch
0.2b	3	`x`
1.3b	4	`y`
0.1b	3	`z`

Compiler

Compiled 158 to 53 computations (66.5% saved)

bsearch141.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	2.32224112985121e+31	8.297160677121284e+31
67.0ms	-2002941667198.213	-238524970491.08618

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes367.0ms (3.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

146.0ms	y
117.0ms	x
95.0ms	z

Results

Error	Segments	Branch
9.9b	6	`x`
1.3b	4	`y`
1.1b	3	`z`

Compiler

Compiled 140 to 46 computations (67.1% saved)

bsearch91.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.7022477292150812	472955745801479.25
33.0ms	-3.9050116542310525	-0.11562438972928218

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes117.0ms (1.2%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	y
36.0ms	x
35.0ms	z

Results

Error	Segments	Branch
15.5b	5	`x`
9.4b	5	`y`
9.5b	3	`z`

Compiler

Compiled 77 to 30 computations (61% saved)

bsearch231.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	1.7254287280349067e+67	3.866908668047663e+75
19.0ms	-2.3587322613396584e-13	-1.825392897287195e-16
20.0ms	-415596909977437100.0	-203046657461239940.0
171.0ms	-6.837309624101043e+143	-7.39375039662112e+137

Compiler

Compiled 153 to 112 computations (26.8% saved)

regimes165.0ms (1.7%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	y
39.0ms	x
22.0ms	z

Results

Error	Segments	Branch
17.6b	3	`x`
9.8b	5	`y`
17.7b	3	`z`

Compiler

Compiled 70 to 28 computations (60% saved)

bsearch235.0ms (2.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	1.7254287280349067e+67	3.866908668047663e+75
48.0ms	-6679177.009770941	-3.1231974042489535e-5
20.0ms	-415596909977437100.0	-203046657461239940.0
144.0ms	-6.837309624101043e+143	-7.39375039662112e+137

Compiler

Compiled 153 to 112 computations (26.8% saved)

regimes254.0ms (2.5%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

113.0ms	x
94.0ms	z
44.0ms	y

Results

Error	Segments	Branch
25.6b	9	`x`
21.4b	7	`y`
17.3b	5	`z`

Compiler

Compiled 60 to 27 computations (55% saved)

bsearch118.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	2.2218264737106637e+45	1.3978627849014318e+59
53.0ms	1.4218942154794327e-74	1.8499024767064944e-72
23.0ms	-1.5198416448707856e-27	-1.0431959711168265e-48
23.0ms	-3.4105345117981647e+28	-3.1133686901725066e+22

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes253.0ms (2.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

157.0ms	x
72.0ms	y
21.0ms	z

Results

Error	Segments	Branch
26.3b	9	`x`
21.1b	9	`y`
17.3b	5	`z`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch251.0ms (2.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.2218264737106637e+45	1.3978627849014318e+59
169.0ms	1.4218942154794327e-74	1.8499024767064944e-72
38.0ms	-1.5198416448707856e-27	-1.0431959711168265e-48
21.0ms	-3.4105345117981647e+28	-3.1133686901725066e+22

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes87.0ms (0.9%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
31.0ms	y
22.0ms	z

Results

Error	Segments	Branch
26.3b	9	`x`
22.2b	7	`y`
17.3b	5	`z`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch189.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	2.2218264737106637e+45	1.3978627849014318e+59
105.0ms	1.4218942154794327e-74	1.8499024767064944e-72
44.0ms	-1.5198416448707856e-27	-1.0431959711168265e-48
20.0ms	-3.4105345117981647e+28	-3.1133686901725066e+22

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes92.0ms (0.9%)

Accuracy

Total -41.7b remaining (-210.2%)

Threshold costs -41.7b (-210.2%)

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:

65.0ms	z
18.0ms	y
9.0ms	x

Results

Error	Segments	Branch
29.6b	3	`x`
29.4b	5	`y`
19.8b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.7022477292150812	472955745801479.25
35.0ms	-3.9050116542310525	-0.11562438972928218

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	460
1	105	460
2	113	460
3	116	460
4	117	460

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -4396652257718103/1125899906842624) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 6325285223229633/9007199254740992) (/.f64 (+.f64 (*.f64 y x) x) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 y -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672000) (.f64 y (/.f64 x z)) (if (<=.f64 y -415596909977437120) (neg.f64 x) (if (<=.f64 y -4671950573226417/19807040628566084398385987584) (/.f64 (+.f64 (.f64 y x) x) z) (if (<=.f64 y 17254287280349066654465734141146103596519809436587311395578149076992) (-.f64 (/.f64 x z) x) (/.f64 (+.f64 (*.f64 y x) x) z)))))
(if (<=.f64 y -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672000) (.f64 y (/.f64 x z)) (if (<=.f64 y -415596909977437120) (neg.f64 x) (if (<=.f64 y -1792927926322579/268435456) (/.f64 y (/.f64 z x)) (if (<=.f64 y 17254287280349066654465734141146103596519809436587311395578149076992) (-.f64 (/.f64 x z) x) (/.f64 (.f64 y x) z)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (*.f64 (/.f64 y z) x) (neg.f64 x)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (/.f64 x (/.f64 z y)) (neg.f64 x)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (/.f64 y (/.f64 z x)) (neg.f64 x)))))
(if (<=.f64 z -4396652257718103/1125899906842624) (neg.f64 x) (if (<=.f64 z 6325285223229633/9007199254740992) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (-.f64 (/.f64 (fma.f64 x y x) z) x) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -1025506133605485/512) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 23222411298512102098440644722688) (/.f64 (+.f64 x (*.f64 x (-.f64 y z))) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -4396652257718103/1125899906842624) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 6325285223229633/9007199254740992) (/.f64 (+.f64 (*.f64 y x) x) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z -4396652257718103/1125899906842624) (-.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z 6325285223229633/9007199254740992) (/.f64 (+.f64 x (*.f64 x y)) z) (-.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 y -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672000) (.f64 y (/.f64 x z)) (if (<=.f64 y -415596909977437120) (neg.f64 x) (if (<=.f64 y -4671950573226417/19807040628566084398385987584) (/.f64 (+.f64 (.f64 y x) x) z) (if (<=.f64 y 17254287280349066654465734141146103596519809436587311395578149076992) (-.f64 (/.f64 x z) x) (/.f64 (+.f64 (*.f64 y x) x) z)))))
(if (<=.f64 y -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672000) (.f64 y (/.f64 x z)) (if (<=.f64 y -415596909977437120) (neg.f64 x) (if (<=.f64 y -4671950573226417/19807040628566084398385987584) (/.f64 (+.f64 x (.f64 x y)) z) (if (<=.f64 y 17254287280349066654465734141146103596519809436587311395578149076992) (-.f64 (/.f64 x z) x) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(if (<=.f64 y -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672000) (.f64 y (/.f64 x z)) (if (<=.f64 y -415596909977437120) (neg.f64 x) (if (<=.f64 y -1792927926322579/268435456) (/.f64 y (/.f64 z x)) (if (<=.f64 y 17254287280349066654465734141146103596519809436587311395578149076992) (-.f64 (/.f64 x z) x) (/.f64 (.f64 y x) z)))))
(if (<=.f64 y -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672000) (.f64 y (/.f64 x z)) (if (<=.f64 y -415596909977437120) (neg.f64 x) (if (<=.f64 y -1792927926322579/268435456) (/.f64 y (/.f64 z x)) (if (<=.f64 y 17254287280349066654465734141146103596519809436587311395578149076992) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (*.f64 (/.f64 y z) x) (neg.f64 x)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (*.f64 x (/.f64 y z)) (neg.f64 x)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (/.f64 x (/.f64 z y)) (neg.f64 x)))))
(if (<=.f64 z -34105345117981646926026637312) (neg.f64 x) (if (<=.f64 z -2118350079023691/1393796574908163946345982392040522594123776) (/.f64 y (/.f64 z x)) (if (<=.f64 z 55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 x z) (if (<=.f64 z 2221826473710663693916523525692197785969885184) (/.f64 y (/.f64 z x)) (neg.f64 x)))))
(if (<=.f64 z -4396652257718103/1125899906842624) (neg.f64 x) (if (<=.f64 z 6325285223229633/9007199254740992) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Compiler

Compiled 350 to 184 computations (47.4% saved)

soundness941.0ms (9.4%)

Algorithm

4×	egg-herbie

Rules

824×	`div-sub_binary64`
824×	`div-sub_binary64`
593×	`fma-def_binary64`
527×	`fma-neg_binary64`
527×	`fma-neg_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	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
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
1×	saturated
1×	saturated
1×	node limit

Compiler

Compiled 2373 to 1465 computations (38.3% saved)

end298.0ms (3%)

Compiler: Compiled 320 to 119 computations (62.8% 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	9	88
1	15	79
2	18	79
3	23	79
4	31	79
5	49	79
6	96	79
7	142	79
8	232	79
9	443	79
10	756	79
11	816	79
12	836	79
13	850	79

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	9	88
1	15	79
2	18	79
3	23	79
4	31	79
5	49	79
6	96	79
7	142	79
8	232	79
9	443	79
10	756	79
11	816	79
12	836	79
13	850	79

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	9	88
1	15	79
2	18	79
3	23	79
4	31	79
5	49	79
6	96	79
7	142	79
8	232	79
9	443	79
10	756	79
11	816	79
12	836	79
13	850	79