Details

analyze270.0ms (3.5%)

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)

sample1.3s (16.8%)

Results

1.1s	8256×	body	256	valid
173.0ms	1613×	body	256	infinite

Bogosity

preprocess64.0ms (0.8%)

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)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

3.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.4b	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	9.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series13.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite70.0ms (0.9%)

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))))))

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

138 → 82

Calls

Call 1

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

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

localize38.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
✓	8.5b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite99.0ms (1.3%)

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 (1%)

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)

eval42.0ms (0.5%)

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

prune66.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	199	13	212
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	201	13	214

Error

Counts

214 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	9.3b	(pow.f64 (/.f64 z (fma.f64 x (-.f64 y z) x)) -1)
▶	3.9b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))
	34.1b	(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) 2) -1) x) (+.f64 (-.f64 y z) -1)) z)
	47.0b	(*.f64 x (/.f64 y z))
▶	45.1b	(/.f64 (*.f64 y x) z)
	17.1b	(-.f64 (/.f64 (*.f64 y x) z) x)
	26.8b	(/.f64 (-.f64 x (*.f64 x z)) z)
	9.1b	(/.f64 (+.f64 (*.f64 x (-.f64 y z)) x) z)
▶	32.6b	(neg.f64 x)
	19.4b	(-.f64 (/.f64 x z) x)
▶	31.9b	(/.f64 (*.f64 (+.f64 1 y) x) z)
	16.2b	(-.f64 (*.f64 y (/.f64 x z)) x)
▶	10.9b	(.f64 (+.f64 (-.f64 y z) 1) (.f64 x (/.f64 1 z)))

Compiler

Compiled 284 to 184 computations (35.2% saved)

localize22.0ms (0.3%)

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)))
✓	3.6b	(*.f64 x (/.f64 1 (/.f64 z (+.f64 (-.f64 y z) 1))))

Compiler

Compiled 42 to 21 computations (50% saved)

series12.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

216 → 179

Calls

Call 1

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

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.2b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series11.0ms (0.1%)

Counts

1 → 0

Calls

9 calls:

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

rewrite59.0ms (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)))))))

simplify788.0ms (10.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 y) x)
✓	3.2b	(/.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	y	@	-inf	(/.f64 (*.f64 (+.f64 1 y) x) z)
1.0ms	z	@	-inf	(/.f64 (*.f64 (+.f64 1 y) x) z)

rewrite71.0ms (0.9%)

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)))))))

simplify19.0ms (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)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1 z))
✓	10.8b	(.f64 (+.f64 (-.f64 y z) 1) (.f64 x (/.f64 1 z)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
486×	`prod-diff_binary64`
377×	`fma-def_binary64`
288×	`pow2_binary64`
216×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	224	17
2	3170	17

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-neg_binary64`
539×	`fma-def_binary64`
336×	`times-frac_binary64`
334×	`div-sub_binary64`
324×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	706
1	44	706
2	87	524
3	201	461
4	538	461
5	1310	461
6	4900	461
7	7780	461

Stop Event

1×	node limit

Counts

182 → 135

Calls

Call 1

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

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

eval107.0ms (1.4%)

Compiler: Compiled 5912 to 2918 computations (50.6% saved)

prune72.0ms (0.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	418	8	426
Fresh	4	4	8
Picked	1	0	1
Done	2	2	4
Total	425	14	439

Error

Counts

439 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(*.f64 (/.f64 (+.f64 1 y) (/.f64 z x)) 1)
▶	48.9b	(/.f64 x z)
	32.0b	(.f64 (/.f64 1 z) (+.f64 x (.f64 y x)))
▶	47.0b	(*.f64 (/.f64 y z) x)
▶	3.2b	(/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))
	31.9b	(/.f64 (+.f64 (*.f64 y x) x) z)
✓	45.1b	(/.f64 (*.f64 y x) z)
▶	17.1b	(-.f64 (/.f64 (*.f64 y x) z) x)
	26.8b	(/.f64 (-.f64 x (*.f64 x z)) z)
✓	32.6b	(neg.f64 x)
	45.5b	(*.f64 y (/.f64 x z))
	19.4b	(-.f64 (/.f64 x z) x)
▶	45.5b	(*.f64 y (/.f64 1 (/.f64 z x)))
	16.2b	(-.f64 (*.f64 y (/.f64 x z)) x)

Compiler

Compiled 245 to 159 computations (35.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (+.f64 1 (-.f64 y z)))
✓	3.0b	(/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 1) (*.f64 (/.f64 x z) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (-.f64 y z))) (/.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (-.f64 y z))) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (-.f64 y z))) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (-.f64 y z))) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 1 (-.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (+.f64 1 (-.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))) 2) (cbrt.f64 (*.f64 (+.f64 1 (-.f64 y z)) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (-.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

169 → 150

Calls

Call 1

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(*.f64 (/.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.7%)

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 (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

59 → 24

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (/.f64 z x))
✓	5.0b	(*.f64 y (/.f64 1 (/.f64 z x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
775×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	167	11
2	2186	11

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	348
1	10	348
2	14	348
3	16	348
4	17	348

Stop Event

1×

saturated

Counts

121 → 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 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 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))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 y x) z) x)
	7.2b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`pow1_binary64`
913×	`add-log-exp_binary64`
913×	`log1p-expm1-u_binary64`
913×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2388	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify47.0ms (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	390
1	39	330
2	80	330
3	180	330
4	401	330
5	723	330
6	1010	330
7	1154	330
8	1168	330
9	1173	330

Stop Event

1×

saturated

Counts

73 → 45

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

eval73.0ms (1%)

Compiler: Compiled 4233 to 1885 computations (55.5% saved)

prune97.0ms (1.3%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	320	4	324
Fresh	3	4	7
Picked	0	1	1
Done	2	4	6
Total	325	13	338

Error

Counts

338 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.9b	(/.f64 x z)
▶	46.4b	(/.f64 x (/.f64 z y))
▶	17.6b	(*.f64 (-.f64 (/.f64 y z) 1) x)
	19.4b	(-.f64 (/.f64 x z) x)
▶	32.0b	(.f64 (/.f64 1 z) (+.f64 x (.f64 y x)))
✓	47.0b	(*.f64 (/.f64 y z) x)
▶	31.9b	(/.f64 (+.f64 (*.f64 y x) x) z)
▶	45.5b	(*.f64 y (/.f64 x z))
✓	45.1b	(/.f64 (*.f64 y x) z)
✓	17.1b	(-.f64 (/.f64 (*.f64 y x) z) x)
	26.8b	(/.f64 (-.f64 x (*.f64 x z)) z)
	45.5b	(/.f64 y (/.f64 z x))
✓	32.6b	(neg.f64 x)

Compiler

Compiled 185 to 118 computations (36.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series5.0ms (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)
0.0ms	y	@	inf	(*.f64 (-.f64 (/.f64 y z) 1) x)
0.0ms	y	@	-inf	(*.f64 (-.f64 (/.f64 y z) 1) x)

rewrite60.0ms (0.8%)

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)))))))

simplify58.0ms (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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(*.f64 y (/.f64 x z))

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 x (/.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) x)
✓	3.2b	(/.f64 (+.f64 (*.f64 y x) x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 39

Calls

15 calls:

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

rewrite67.0ms (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)))))

simplify64.0ms (0.8%)

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)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y x))
✓	3.3b	(.f64 (/.f64 1 z) (+.f64 x (.f64 y x)))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite124.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
381×	`pow-prod-down_binary64`
376×	`exp-prod_binary64`
308×	`fma-def_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	196	13
2	2839	13

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	396
1	47	396
2	101	396
3	234	396
4	587	396
5	1346	396
6	2349	396
7	2564	396
8	2596	396
9	2596	396

Stop Event

1×

saturated

Counts

216 → 168

Calls

Call 1

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

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

eval105.0ms (1.4%)

Compiler: Compiled 4136 to 1611 computations (61% saved)

prune68.0ms (0.9%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	344	1	345
Fresh	0	3	3
Picked	0	1	1
Done	0	9	9
Total	344	14	358

Error

Counts

358 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.9b	(/.f64 x z)
✓	46.4b	(/.f64 x (/.f64 z y))
	49.0b	(*.f64 (/.f64 1 z) x)
✓	17.6b	(*.f64 (-.f64 (/.f64 y z) 1) x)
	19.4b	(-.f64 (/.f64 x z) x)
✓	32.0b	(.f64 (/.f64 1 z) (+.f64 x (.f64 y x)))
✓	47.0b	(*.f64 (/.f64 y z) x)
✓	31.9b	(/.f64 (+.f64 (*.f64 y x) x) z)
✓	45.5b	(*.f64 y (/.f64 x z))
✓	45.1b	(/.f64 (*.f64 y x) z)
✓	17.1b	(-.f64 (/.f64 (*.f64 y x) z) x)
	26.8b	(/.f64 (-.f64 x (*.f64 x z)) z)
	45.5b	(/.f64 y (/.f64 z x))
✓	32.6b	(neg.f64 x)

Compiler

Compiled 119 to 77 computations (35.3% saved)

regimes160.0ms (2.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	y
39.0ms	z
38.0ms	x
35.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	2	`y`
0.1b	3	`z`
0.1b	3	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)`

Compiler

Compiled 228 to 102 computations (55.3% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3990049048.3639684	2.1943488275495074e+27
17.0ms	-7.899908439697173e+23	-28946355068704156.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes67.0ms (0.9%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	z
20.0ms	y
12.0ms	x

Results

Error	Segments	Branch
3.2b	1	`x`
2.1b	2	`y`
0.1b	3	`z`

Compiler

Compiled 141 to 59 computations (58.2% saved)

bsearch21.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	1.6525265021582676e-52	1.2521571405145585e-51
10.0ms	-6.195087718859194e-42	-1.7911212761447447e-54

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes119.0ms (1.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	x
30.0ms	z
29.0ms	y

Results

Error	Segments	Branch
12.4b	6	`x`
2.8b	3	`y`
0.8b	3	`z`

Compiler

Compiled 132 to 54 computations (59.1% saved)

bsearch123.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	6.1403806298230645e-18	1.0001311273223551e-14
18.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 194 to 133 computations (31.4% saved)

regimes78.0ms (1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	z
22.0ms	y
20.0ms	x

Results

Error	Segments	Branch
16.0b	2	`x`
4.5b	3	`y`
8.9b	5	`z`

Compiler

Compiled 72 to 31 computations (56.9% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.7859212820305514	3198596.6381748295
18.0ms	-2995.4335271286204	-2.979266301491041e-12

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes77.0ms (1%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	y
31.0ms	z
7.0ms	x

Results

Error	Segments	Branch
19.4b	1	`x`
11.5b	5	`y`
16.6b	5	`z`

Compiler

Compiled 65 to 28 computations (56.9% saved)

bsearch121.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	1.1266471401409557e+60	1.5318230023789716e+63
20.0ms	-1.3419748344509897e+29	-306365002922230.6
19.0ms	-1.82339633560146e+68	-1.17049474434039e+61
64.0ms	-3.1780235069480574e+173	-2.271772105036959e+171

Compiler

Compiled 123 to 90 computations (26.8% saved)

regimes210.0ms (2.7%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

3 calls:

123.0ms	z
56.0ms	y
30.0ms	x

Results

Error	Segments	Branch
29.4b	5	`x`
21.6b	9	`y`
17.4b	6	`z`

Compiler

Compiled 60 to 27 computations (55% saved)

bsearch135.0ms (1.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
22.0ms	1.8710019713626557e+43	1.7673553530889972e+49
44.0ms	8.414207678805032e-44	1.6486875548147033e-43
36.0ms	1.7699830933608552e-168	3.2699184337282873e-161
14.0ms	6.594003733019319e-257	6.350508055047076e-256
19.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 322 to 222 computations (31.1% saved)

regimes117.0ms (1.5%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	y
38.0ms	z
26.0ms	x

Results

Error	Segments	Branch
29.9b	5	`x`
21.9b	9	`y`
17.4b	6	`z`

Compiler

Compiled 55 to 25 computations (54.5% saved)

bsearch133.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	1.8710019713626557e+43	1.7673553530889972e+49
49.0ms	8.414207678805032e-44	1.6486875548147033e-43
34.0ms	1.7699830933608552e-168	3.2699184337282873e-161
15.0ms	6.594003733019319e-257	6.350508055047076e-256
18.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 322 to 222 computations (31.1% saved)

regimes107.0ms (1.4%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	y
38.0ms	z
22.0ms	x

Results

Error	Segments	Branch
29.9b	5	`x`
21.9b	9	`y`
17.4b	6	`z`

Compiler

Compiled 40 to 22 computations (45% saved)

bsearch133.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	1.8710019713626557e+43	1.7673553530889972e+49
45.0ms	8.414207678805032e-44	1.6486875548147033e-43
35.0ms	1.7699830933608552e-168	3.2699184337282873e-161
14.0ms	6.594003733019319e-257	6.350508055047076e-256
21.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 322 to 222 computations (31.1% saved)

regimes102.0ms (1.3%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	y
35.0ms	z
22.0ms	x

Results

Error	Segments	Branch
29.9b	5	`x`
21.9b	9	`y`
17.4b	6	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch140.0ms (1.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
22.0ms	1.8710019713626557e+43	1.7673553530889972e+49
46.0ms	8.414207678805032e-44	1.6486875548147033e-43
36.0ms	1.7699830933608552e-168	3.2699184337282873e-161
18.0ms	6.594003733019319e-257	6.350508055047076e-256
18.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 322 to 222 computations (31.1% saved)

regimes72.0ms (0.9%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y
21.0ms	z
16.0ms	x

Results

Error	Segments	Branch
31.3b	3	`x`
22.3b	9	`y`
18.8b	4	`z`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch83.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	1.8710019713626557e+43	1.7673553530889972e+49
43.0ms	8.414207678805032e-44	1.6486875548147033e-43
21.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 82 to 57 computations (30.5% saved)

regimes38.0ms (0.5%)

Accuracy

Total -41.4b remaining (-205.7%)

Threshold costs -41.4b (-205.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
11.0ms	z
10.0ms	x

Results

Error	Segments	Branch
31.5b	3	`x`
29.6b	5	`y`
20.1b	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	435582.37467763416	6539450.288169473
18.0ms	-211420.53112765972	-0.10065262995423516

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	524
1	116	524
2	123	524
3	126	524
4	127	524

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -789990843969717288304640) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 8367739341874593/2097152) (/.f64 (+.f64 (.f64 x (-.f64 y z)) x) z) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (+.f64 (*.f64 y x) x) z) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -1816088533792497/8589934592) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 z 8048060130728983/1298074214633706907132624082305024) (/.f64 (+.f64 (.f64 y x) x) z) (*.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 y -6587027986615989/2199023255552) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 y 1769737396447667/2251799813685248) (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 y -310000000000000001606228675245664731532871789134843034983099013072243880343029951461153539695991208369274229603130293918279742201683389823756784893575049713092346561171554304) (.f64 y (/.f64 x z)) (if (<=.f64 y -182339633560145995667120916211482710597578398689982785717298580684800) (neg.f64 x) (if (<=.f64 y -134197483445098967748847861760) (/.f64 (.f64 y x) z) (if (<=.f64 y 1126647140140955742869363535764440225475295257644298187833344) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 y x) z)))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (.f64 y x) z) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (.f64 (/.f64 y z) x) (neg.f64 x))))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (.f64 y (/.f64 x z)) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (.f64 (/.f64 y z) x) (neg.f64 x))))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (*.f64 y (/.f64 x z)) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (/.f64 y (/.f64 z x)) (neg.f64 x))))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (.f64 y (/.f64 x z)) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (.f64 y (/.f64 x z)) (neg.f64 x))))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (/.f64 x (/.f64 z y)) (neg.f64 x))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 7483248215817829/17179869184) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 z -789990843969717288304640) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 8367739341874593/2097152) (/.f64 (+.f64 (.f64 x (-.f64 y z)) x) z) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -789990843969717288304640) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 8367739341874593/2097152) (/.f64 (+.f64 x (.f64 x (-.f64 y z))) z) (.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 z -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (+.f64 (*.f64 y x) x) z) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z)))) (if (<=.f64 z 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (+.f64 x (*.f64 x y)) z) (/.f64 x (/.f64 z (+.f64 1 (-.f64 y z))))))
(if (<=.f64 z -1816088533792497/8589934592) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 z 8048060130728983/1298074214633706907132624082305024) (/.f64 (+.f64 (.f64 y x) x) z) (*.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 z -1816088533792497/8589934592) (.f64 x (+.f64 (/.f64 y z) -1)) (if (<=.f64 z 8048060130728983/1298074214633706907132624082305024) (/.f64 (+.f64 x (.f64 x y)) z) (*.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 y -6587027986615989/2199023255552) (.f64 (-.f64 (/.f64 y z) 1) x) (if (<=.f64 y 1769737396447667/2251799813685248) (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 y z) 1) x)))
(if (<=.f64 y -6587027986615989/2199023255552) (.f64 x (+.f64 (/.f64 y z) -1)) (if (<=.f64 y 1769737396447667/2251799813685248) (-.f64 (/.f64 x z) x) (.f64 x (+.f64 (/.f64 y z) -1))))
(if (<=.f64 y -310000000000000001606228675245664731532871789134843034983099013072243880343029951461153539695991208369274229603130293918279742201683389823756784893575049713092346561171554304) (.f64 y (/.f64 x z)) (if (<=.f64 y -182339633560145995667120916211482710597578398689982785717298580684800) (neg.f64 x) (if (<=.f64 y -134197483445098967748847861760) (/.f64 (.f64 y x) z) (if (<=.f64 y 1126647140140955742869363535764440225475295257644298187833344) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 y x) z)))))
(if (<=.f64 y -310000000000000001606228675245664731532871789134843034983099013072243880343029951461153539695991208369274229603130293918279742201683389823756784893575049713092346561171554304) (.f64 y (/.f64 x z)) (if (<=.f64 y -182339633560145995667120916211482710597578398689982785717298580684800) (neg.f64 x) (if (<=.f64 y -134197483445098967748847861760) (/.f64 (.f64 x y) z) (if (<=.f64 y 1126647140140955742869363535764440225475295257644298187833344) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 x y) z)))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (.f64 y x) z) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (.f64 (/.f64 y z) x) (neg.f64 x))))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (.f64 x y) z) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (.f64 x (/.f64 y z)) (neg.f64 x))))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 5240681748865799/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (/.f64 x z) (if (<=.f64 z 3824193548280723/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (.f64 y (/.f64 x z)) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (.f64 (/.f64 y z) x) (neg.f64 x))))))
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(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (/.f64 x z) (if (<=.f64 z 18710019713626557065598734359756884003520512) (/.f64 x (/.f64 z y)) (neg.f64 x))))
(if (<=.f64 z -1816088533792497/8589934592) (neg.f64 x) (if (<=.f64 z 7483248215817829/17179869184) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Compiler

Compiled 397 to 222 computations (44.1% saved)

soundness212.0ms (2.7%)

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

Compiler

Compiled 1152 to 711 computations (38.3% saved)

end147.0ms (1.9%)

Compiler: Compiled 364 to 159 computations (56.3% saved)

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

Iter	Nodes	Cost
0	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	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