Details

analyze187.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
32.8%	67.1%	0.1%	9
43.3%	56.6%	0.1%	10
50.5%	49.3%	0.1%	11
58.7%	41.2%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample928.0ms (14.6%)

Results

914.0ms

8256×

body

256

valid

preprocess152.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1362×	`fma-neg_binary64`
623×	`div-sub_binary64`
600×	`distribute-rgt-in_binary64`
383×	`sub-neg_binary64`
280×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	34	52
2	54	52
3	81	52
4	130	52
5	185	52
6	248	52
7	314	52
8	371	52
9	546	52
10	988	52
11	2656	52
12	5561	52
13	6507	52
14	6742	52
15	6816	52
16	6864	52
17	6886	52
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 y) (-.f64 1 (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 1 (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 1 (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 1 (/.f64 z y)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1668×	`fma-neg_binary64`
875×	`div-sub_binary64`
645×	`fma-def_binary64`
358×	`distribute-rgt-in_binary64`
316×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	13
2	20	13
3	28	13
4	43	13
5	59	13
6	79	13
7	100	13
8	117	13
9	164	13
10	229	13
11	314	13
12	560	13
13	1376	13
14	2891	13
15	4738	13
16	6493	13
17	7373	13

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

7.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 y z))
✓	7.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series11.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`prod-diff_binary64`
531×	`log-prod_binary64`
284×	`pow2_binary64`
248×	`fma-def_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	203	20
2	3021	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

Outputs

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

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-def_binary64`
491×	`times-frac_binary64`
434×	`sub-neg_binary64`
406×	`unsub-neg_binary64`
364×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1157
1	379	1111
2	1335	950
3	6742	940

Stop Event

1×	node limit

Counts

147 → 131

Calls

Call 1

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

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

eval72.0ms (1.1%)

Compiler: Compiled 2275 to 1112 computations (51.1% saved)

prune56.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	10	132

Error

Counts

132 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 1 (/.f64 y z)))))
	35.7b	(.f64 -1 (/.f64 (.f64 (+.f64 y x) z) y))
▶	33.5b	(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))
	39.5b	(/.f64 y (-.f64 1 (/.f64 y z)))
▶	31.4b	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
	40.4b	x
▶	29.7b	(/.f64 x (-.f64 1 (/.f64 y z)))
	32.8b	(+.f64 y x)
▶	40.5b	(neg.f64 z)
▶	7.5b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))

Compiler

Compiled 208 to 141 computations (32.2% saved)

localize24.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
✓	0.4b	(/.f64 1 (-.f64 1 (/.f64 y z)))
✓	7.0b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))

Compiler

Compiled 36 to 17 computations (52.8% saved)

series12.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite96.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
411×	`pow-prod-down_binary64`
310×	`pow2_binary64`
295×	`fma-def_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	230	23
2	3454	23

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs
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Outputs

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
619×	`times-frac_binary64`
436×	`div-sub_binary64`
383×	`associate-/l*_binary64`
302×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1490
1	424	1426
2	1516	1169
3	7739	1160

Stop Event

1×	node limit

Counts

168 → 160

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log-prod_binary64`
361×	`prod-diff_binary64`
350×	`exp-prod_binary64`
279×	`prod-exp_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	173	10
2	2407	10

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

744×	`distribute-rgt-neg-in_binary64`
627×	`distribute-lft-neg-in_binary64`
530×	`distribute-rgt-out--_binary64`
445×	`associate-/l/_binary64`
426×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	624
1	133	606
2	452	528
3	2264	435
4	5223	396

Stop Event

1×	node limit

Counts

78 → 69

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series11.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`pow1_binary64`
911×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	181	17
2	2738	17

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-neg_binary64`
865×	`fma-def_binary64`
493×	`times-frac_binary64`
442×	`div-sub_binary64`
344×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	567
1	41	537
2	89	477
3	199	477
4	434	477
5	852	477
6	2006	477
7	4756	477
8	6892	477
9	7571	477
10	7812	477
11	7946	477
12	7958	477
13	7958	477

Stop Event

1×	node limit

Counts

118 → 69

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))
1.0ms	y	@	0	(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))
1.0ms	x	@	inf	(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))
0.0ms	y	@	-inf	(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))
0.0ms	z	@	0	(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`prod-diff_binary64`
514×	`log-prod_binary64`
372×	`fma-def_binary64`
275×	`pow2_binary64`
200×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	203	13
2	3098	13

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
465×	`associate-/l*_binary64`
426×	`div-sub_binary64`
393×	`fma-def_binary64`
383×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	592
1	91	588
2	203	402
3	609	402
4	1773	402
5	4107	402
6	7775	402

Stop Event

1×	node limit

Counts

129 → 115

Calls

Call 1

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

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

eval139.0ms (2.2%)

Compiler: Compiled 8129 to 3711 computations (54.3% saved)

prune90.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	507	8	515
Fresh	3	2	5
Picked	1	0	1
Done	1	3	4
Total	512	13	525

Error

Counts

525 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.4b	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
	35.7b	(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))
▶	51.9b	(*.f64 x (/.f64 z (neg.f64 y)))
	52.9b	(.f64 -1 (/.f64 (.f64 z x) y))
	40.4b	x
	62.5b	(/.f64 y (/.f64 z y))
▶	52.0b	(/.f64 x (/.f64 (neg.f64 y) z))
▶	55.0b	(*.f64 (+.f64 1 (/.f64 y z)) y)
✓	40.5b	(neg.f64 z)
✓	29.7b	(/.f64 x (-.f64 1 (/.f64 y z)))
▶	32.8b	(+.f64 y x)
	52.5b	(*.f64 (/.f64 x y) (neg.f64 z))
▶	29.7b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)

Compiler

Compiled 198 to 135 computations (31.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
	0.4b	(/.f64 1 (-.f64 1 (/.f64 y z)))
✓	2.7b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)

Compiler

Compiled 31 to 16 computations (48.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`log-prod_binary64`
375×	`exp-prod_binary64`
352×	`prod-diff_binary64`
268×	`pow-prod-down_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	194	10
2	2598	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-rgt-neg-in_binary64`
633×	`distribute-lft-neg-in_binary64`
530×	`distribute-rgt-out--_binary64`
448×	`associate-/l/_binary64`
426×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	744
1	140	726
2	461	648
3	2287	555
4	5273	516

Stop Event

1×	node limit

Counts

73 → 52

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(*.f64 x (/.f64 z (neg.f64 y)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
644×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2087	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

59 → 25

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 x (/.f64 (neg.f64 y) z))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	156	7
2	2428	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
747×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
732×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	10
2	1998	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify104.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1365×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
392×	`associate-/r*_binary64`
389×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	13	204
2	22	204
3	40	168
4	89	168
5	296	168
6	1247	168
7	4103	168
8	5649	168
9	6272	168
10	6521	168
11	6922	168
12	7405	168
13	7982	168

Stop Event

1×	node limit

Counts

45 → 27

Calls

Call 1

Inputs
y
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(/.f64 (pow.f64 y 2) z)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(/.f64 (pow.f64 y 2) z)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(/.f64 (pow.f64 y 2) z)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
y
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
y
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)

Outputs
y
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 y (/.f64 (pow.f64 y 2) z))
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
y
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
y
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 y 2) z) y)
(+.f64 y (/.f64 (*.f64 y y) z))
(+.f64 y (/.f64 y (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y y)
(fma.f64 y (/.f64 y z) y)

eval59.0ms (0.9%)

Compiler: Compiled 2947 to 1540 computations (47.7% saved)

prune42.0ms (0.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	241	4	245
Fresh	2	3	5
Picked	0	1	1
Done	1	6	7
Total	244	14	258

Error

Counts

258 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.4b	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
▶	35.7b	(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))
✓	51.9b	(*.f64 x (/.f64 z (neg.f64 y)))
	40.4b	x
	54.3b	y
▶	62.0b	(/.f64 x (/.f64 y z))
✓	29.7b	(/.f64 x (-.f64 1 (/.f64 y z)))
✓	55.0b	(*.f64 (+.f64 1 (/.f64 y z)) y)
✓	40.5b	(neg.f64 z)
✓	32.8b	(+.f64 y x)
▶	52.5b	(*.f64 (/.f64 x y) (neg.f64 z))
▶	52.9b	(/.f64 (*.f64 (neg.f64 z) x) y)
✓	29.7b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)
▶	62.5b	(*.f64 y (/.f64 y z))

Compiler

Compiled 161 to 108 computations (32.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 y x) z)
✓	8.6b	(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`pow1_binary64`
923×	`add-log-exp_binary64`
922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	179	17
2	2839	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-neg_binary64`
863×	`fma-def_binary64`
493×	`times-frac_binary64`
442×	`div-sub_binary64`
340×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	594
1	40	546
2	86	486
3	182	486
4	419	486
5	841	486
6	1967	486
7	4728	486
8	6856	486
9	7531	486
10	7772	486
11	7906	486
12	7918	486
13	7918	486

Stop Event

1×	node limit

Counts

129 → 81

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y (/.f64 y z))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1410	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`
393×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	37	168
4	83	168
5	266	168
6	1091	168
7	3478	168
8	4280	168
9	4465	168
10	4681	168
11	5028	168
12	5456	168
13	5935	168
14	6584	168
15	7273	168

Stop Event

1×	node limit

Counts

44 → 22

Calls

Call 1

Inputs
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)
(/.f64 (pow.f64 y 2) z)

Outputs
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 x (/.f64 y z))

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

rewrite56.0ms (0.9%)

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 y z))

Outputs

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

simplify13.0ms (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 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(*.f64 (/.f64 x y) (neg.f64 z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
660×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2088	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

61 → 27

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(/.f64 (*.f64 (neg.f64 z) x) y)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
670×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2161	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

78 → 44

Calls

Call 1

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

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

eval139.0ms (2.2%)

Compiler: Compiled 2108 to 704 computations (66.6% saved)

prune37.0ms (0.6%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	0	2	2
Picked	0	1	1
Done	1	10	11
Total	215	15	230

Error

Counts

230 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.7b	(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))
✓	51.9b	(*.f64 x (/.f64 z (neg.f64 y)))
	40.4b	x
	54.3b	y
✓	62.0b	(/.f64 x (/.f64 y z))
✓	29.7b	(/.f64 x (-.f64 1 (/.f64 y z)))
	31.4b	(*.f64 z (-.f64 -1 (/.f64 x y)))
✓	52.5b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	55.0b	(*.f64 (+.f64 1 (/.f64 y z)) y)
✓	40.5b	(neg.f64 z)
	62.6b	(/.f64 (*.f64 y y) z)
✓	32.8b	(+.f64 y x)
✓	52.9b	(/.f64 (*.f64 (neg.f64 z) x) y)
✓	29.7b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)
✓	62.5b	(*.f64 y (/.f64 y z))

Compiler

Compiled 123 to 84 computations (31.7% saved)

regimes329.0ms (5.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

207.0ms	z
41.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
38.0ms	y
15.0ms	x

Results

Error	Segments	Branch
7.4b	1	`x`
2.9b	3	`y`
3.3b	5	`z`
0.1b	3	`(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))`

Compiler

Compiled 195 to 87 computations (55.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4856880213694091e-269	2.4332173988088812e-264
0.0ms	-3.513159030610717e-276	0.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes214.0ms (3.4%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

3 calls:

89.0ms	x
66.0ms	y
54.0ms	z

Results

Error	Segments	Branch
15.8b	8	`x`
13.0b	6	`y`
12.5b	5	`z`

Compiler

Compiled 144 to 61 computations (57.6% saved)

bsearch82.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	3.3335280225793843e+105	1.2240635009157593e+108
20.0ms	6.16539763804e+70	4.9018007607712326e+82
19.0ms	2.764369609177302e-110	5.660286190622419e-95
24.0ms	-11469817.73344839	-4292009.62315296

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes266.0ms (4.2%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

3 calls:

129.0ms	x
71.0ms	y
61.0ms	z

Results

Error	Segments	Branch
21.4b	8	`x`
15.9b	3	`y`
13.0b	5	`z`

Compiler

Compiled 94 to 43 computations (54.3% saved)

bsearch164.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	3.3335280225793843e+105	1.2240635009157593e+108
41.0ms	6.16539763804e+70	4.9018007607712326e+82
42.0ms	1.8343507255512959	3.791026289084695
41.0ms	-11469817.73344839	-4292009.62315296

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes210.0ms (3.3%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	z
69.0ms	x
43.0ms	y

Results

Error	Segments	Branch
25.6b	9	`x`
20.3b	3	`y`
20.2b	5	`z`

Compiler

Compiled 66 to 30 computations (54.5% saved)

bsearch77.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	2.5441556922222396e-113	2.764369609177302e-110
19.0ms	4.098124883073751e-300	7.305482315213912e-287
19.0ms	-2.345562517064488e-285	-1.3882902175413896e-285
19.0ms	-11469817.73344839	-4292009.62315296

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes117.0ms (1.8%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	x
37.0ms	z
19.0ms	y

Results

Error	Segments	Branch
25.6b	9	`x`
20.3b	3	`y`
20.3b	5	`z`

Compiler

Compiled 60 to 28 computations (53.3% saved)

bsearch78.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	2.5441556922222396e-113	2.764369609177302e-110
19.0ms	7.305482315213912e-287	8.691835700002718e-281
21.0ms	-5.914986202154694e-271	-2.2322809216551705e-272
19.0ms	-11469817.73344839	-4292009.62315296

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes91.0ms (1.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	x
23.0ms	z
17.0ms	y

Results

Error	Segments	Branch
25.6b	9	`x`
20.3b	3	`y`
21.4b	3	`z`

Compiler

Compiled 48 to 23 computations (52.1% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.483476215118062e+67	2.725666715831136e+70
19.0ms	-3.094900401797808e+145	-5.485569096934914e+144

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes64.0ms (1%)

Counts

3 → 3

Calls

Call 1

Inputs
y
x
(neg.f64 z)

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

Calls

3 calls:

24.0ms	z
24.0ms	x
14.0ms	y

Results

Error	Segments	Branch
28.9b	7	`x`
25.3b	3	`y`
26.5b	6	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3006205282831119e+48	1.4854147037876156e+49
21.0ms	-5.178939699944878e-30	-4.741840486784032e-31

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.4%)

Accuracy

Total -25.1b remaining (-67.7%)

Threshold costs -25.1b (-67.7%)

Counts

2 → 3

Calls

Call 1

Inputs
y
x

Outputs
x
y
x

Calls

3 calls:

10.0ms	x
9.0ms	z
7.0ms	y

Results

Error	Segments	Branch
37.0b	3	`x`
39.1b	2	`y`
39.2b	2	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.800892690381255e-197	3.5960039015104496e-196
19.0ms	-3.513159030610717e-276	-1.1300788094871579e-278

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	338
1	95	338
2	113	338
3	124	338
4	129	338
5	130	338

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1218164251425/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (*.f64 z (-.f64 -1 (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z 4678151757027897/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 z 3333528022579384255457290475734763429245973406629072401076659069871226317719424360497996367112557834534912) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z 8261181244059615/4503599627370496) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) x (if (<=.f64 z 3333528022579384255457290475734763429245973406629072401076659069871226317719424360497996367112557834534912) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z -1570806516080053/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (neg.f64 z) (if (<=.f64 z 772503866505703/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (*.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z -2814619038725381/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (neg.f64 z) (if (<=.f64 z 6262309744319013/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 y x)))))
(if (<=.f64 y -30949004017978080601052767238109944887237058038408968733800512374624350445138001728464059700465487132445150075156357857172653395851317853462462464) (neg.f64 z) (if (<=.f64 y 44834762151180620060609313414845135008917866752063493493933522026496) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y -7391629737409623/1427247692705959881058285969449495136382746624) (neg.f64 z) (if (<=.f64 y 1300620528283111858469641454795348071814904414208) x (neg.f64 z)))
(if (<=.f64 x -8764630508873487/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 63133370000389/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344) y x))
y

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1218164251425/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (*.f64 z (-.f64 -1 (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z 4678151757027897/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 z 3333528022579384255457290475734763429245973406629072401076659069871226317719424360497996367112557834534912) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 x y) (if (<=.f64 z 4678151757027897/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 z 3333528022579384255457290475734763429245973406629072401076659069871226317719424360497996367112557834534912) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z 8261181244059615/4503599627370496) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) x (if (<=.f64 z 3333528022579384255457290475734763429245973406629072401076659069871226317719424360497996367112557834534912) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 x y) (if (<=.f64 z 8261181244059615/4503599627370496) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) x (if (<=.f64 z 3333528022579384255457290475734763429245973406629072401076659069871226317719424360497996367112557834534912) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z -1570806516080053/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (neg.f64 z) (if (<=.f64 z 772503866505703/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (*.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 x y) (if (<=.f64 z -1570806516080053/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (neg.f64 z) (if (<=.f64 z 772503866505703/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (*.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 x y)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 x y) (if (<=.f64 z -1570806516080053/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (neg.f64 z) (if (<=.f64 z 772503866505703/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (*.f64 z (/.f64 (neg.f64 x) y)) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 x y)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 y x) (if (<=.f64 z -2814619038725381/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (neg.f64 z) (if (<=.f64 z 6262309744319013/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 y x)))))
(if (<=.f64 z -3078905753515105/268435456) (+.f64 x y) (if (<=.f64 z -2814619038725381/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (neg.f64 z) (if (<=.f64 z 6262309744319013/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 z 8817629231186959/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (neg.f64 z) (+.f64 x y)))))
(if (<=.f64 y -30949004017978080601052767238109944887237058038408968733800512374624350445138001728464059700465487132445150075156357857172653395851317853462462464) (neg.f64 z) (if (<=.f64 y 44834762151180620060609313414845135008917866752063493493933522026496) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y -30949004017978080601052767238109944887237058038408968733800512374624350445138001728464059700465487132445150075156357857172653395851317853462462464) (neg.f64 z) (if (<=.f64 y 44834762151180620060609313414845135008917866752063493493933522026496) (+.f64 x y) (neg.f64 z)))
(if (<=.f64 y -7391629737409623/1427247692705959881058285969449495136382746624) (neg.f64 z) (if (<=.f64 y 1300620528283111858469641454795348071814904414208) x (neg.f64 z)))
(if (<=.f64 x -8764630508873487/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) x (if (<=.f64 x 63133370000389/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344) y x))
y

Compiler

Compiled 260 to 150 computations (42.3% saved)

soundness328.0ms (5.1%)

Algorithm

2×	egg-herbie

Rules

874×	`fma-neg_binary64`
863×	`fma-def_binary64`
660×	`fma-def_binary64`
493×	`times-frac_binary64`
491×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1157
1	379	1111
2	1335	950
3	6742	940
0	16	594
1	40	546
2	86	486
3	182	486
4	419	486
5	841	486
6	1967	486
7	4728	486
8	6856	486
9	7531	486
10	7772	486
11	7906	486
12	7918	486
13	7918	486

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 118 to 79 computations (33.1% saved)

end97.0ms (1.5%)

Compiler: Compiled 236 to 115 computations (51.3% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324