Details

analyze190.0ms (2.8%)

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)

sample909.0ms (13.4%)

Results

894.0ms	8254×	body	256	valid
1.0ms	2×	body	2048	valid

preprocess156.0ms (2.3%)

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 (1.2%)

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

8.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 y z))
✓	8.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series12.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite75.0ms (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)))))

simplify72.0ms (1.1%)

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

eval41.0ms (0.6%)

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

prune31.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	13	132

Error

0.0b

Counts

132 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
	37.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 1 (/.f64 y z)))))
▶	8.3b	(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
	18.9b	(*.f64 (/.f64 (+.f64 x y) (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))
▶	36.1b	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
	32.0b	(+.f64 y x)
▶	40.7b	(neg.f64 z)
	8.4b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
✓	8.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
	38.0b	(.f64 -1 (/.f64 (.f64 (+.f64 y x) z) y))
	41.2b	x
▶	32.8b	(/.f64 x (-.f64 1 (/.f64 y z)))
	38.4b	(/.f64 y (-.f64 1 (/.f64 y z)))

Compiler

Compiled 294 to 193 computations (34.4% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
✓	1.9b	(/.f64 x (-.f64 1 (/.f64 y z)))
✓	8.2b	(/.f64 y (-.f64 1 (/.f64 y z)))

Compiler

Compiled 44 to 20 computations (54.5% saved)

series11.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
379×	`prod-diff_binary64`
282×	`pow-prod-down_binary64`
267×	`pow2_binary64`
186×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	196	20
2	2773	20

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

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

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

((#(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 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.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 (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 (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 (sqrt.f64 x) (*.f64 (sqrt.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 (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 z y) -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 (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 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))))))

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/l/_binary64`
551×	`sub-neg_binary64`
509×	`unswap-sqr_binary64`
376×	`times-frac_binary64`
315×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	1068
1	197	1032
2	668	930
3	3139	807
4	6733	798

Stop Event

1×	node limit

Counts

140 → 122

Calls

Call 1

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

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))
	1.9b	(/.f64 x (-.f64 1 (/.f64 y z)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y x) y)
✓	2.4b	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series14.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-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	@	-inf	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))

rewrite63.0ms (0.9%)

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%)

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)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
✓	0.0b	(*.f64 z (+.f64 x z))
✓	6.3b	(/.f64 (*.f64 z (+.f64 x z)) y)

Compiler

Compiled 33 to 8 computations (75.8% saved)

series15.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (*.f64 z (+.f64 x z)) y)
2.0ms	y	@	0	(/.f64 (*.f64 z (+.f64 x z)) y)
1.0ms	z	@	inf	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
1.0ms	z	@	0	(/.f64 (*.f64 z (+.f64 x z)) y)
1.0ms	z	@	-inf	(/.f64 (*.f64 z (+.f64 x z)) y)

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
353×	`fma-def_binary64`
256×	`pow2_binary64`
205×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	213	30
2	3587	28

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 z x)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z x) 1) (*.f64 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 z x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 6)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (pow.f64 z 4) (*.f64 (*.f64 z x) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (pow.f64 z 4)) (*.f64 z (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (+.f64 z x) 2)) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 z x) 2) z) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 z 3)) z) (fma.f64 z (-.f64 z x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 z (-.f64 z x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 z x)) 3) 1/3)))) 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(+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (*.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (/.f64 1 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (+.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (fma.f64 (/.f64 z y) (+.f64 z x) z)))) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (fma.f64 (/.f64 z y) (+.f64 z x) z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (fma.f64 (/.f64 z y) (+.f64 z x) z)))) (+.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (*.f64 z (+.f64 z x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 z y) (+.f64 z x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z 1) (/.f64 (+.f64 z x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 z x) 1) (/.f64 z y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) (+.f64 z x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) 1) (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z x) (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z (+.f64 z x)) (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 z x) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z (+.f64 z x)) (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (+.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2))) (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))))

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-neg_binary64`
379×	`div-sub_binary64`
308×	`distribute-rgt-out--_binary64`
297×	`distribute-rgt-neg-in_binary64`
289×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	1344
1	105	1263
2	250	919
3	585	917
4	1891	917
5	4573	917
6	6970	917

Stop Event

1×	node limit

Counts

326 → 259

Calls

Call 1

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

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

eval177.0ms (2.6%)

Compiler: Compiled 11424 to 4636 computations (59.4% saved)

prune118.0ms (1.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	653	11	664
Fresh	4	3	7
Picked	1	0	1
Done	2	3	5
Total	660	17	677

Error

Counts

677 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	32.8b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)
	53.5b	(.f64 -1 (/.f64 (.f64 z x) y))
	54.6b	(*.f64 x (/.f64 (neg.f64 z) y))
✓	8.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
✓	32.8b	(/.f64 x (-.f64 1 (/.f64 y z)))
▶	36.1b	(-.f64 (neg.f64 z) (.f64 (/.f64 1 y) (.f64 z (+.f64 z x))))
	52.8b	(-.f64 (neg.f64 z) (.f64 (pow.f64 y -1/2) (/.f64 (.f64 z (+.f64 z x)) (sqrt.f64 y))))
	33.7b	(-.f64 (neg.f64 z) (*.f64 z (/.f64 x y)))
	54.8b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	40.7b	(neg.f64 z)
▶	8.4b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
	41.2b	x
▶	54.6b	(/.f64 x (/.f64 (neg.f64 y) z))
	41.3b	(*.f64 z (-.f64 -1 (/.f64 z y)))
▶	38.4b	(/.f64 y (-.f64 1 (/.f64 y z)))
	28.4b	(+.f64 (+.f64 y (.f64 (.f64 y (/.f64 y z)) (+.f64 1 (/.f64 y z)))) (/.f64 x (-.f64 1 (/.f64 y z))))
▶	32.0b	(+.f64 y x)

Compiler

Compiled 345 to 230 computations (33.3% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
✓	0.2b	(/.f64 1 (-.f64 1 (/.f64 y z)))
✓	8.2b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))

Compiler

Compiled 36 to 17 computations (52.8% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite92.0ms (1.4%)

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

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

((#(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))))))

simplify107.0ms (1.6%)

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))
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1
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localize6.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series10.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (1%)

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))))))))

simplify47.0ms (0.7%)

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)))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
	8.2b	(/.f64 y (-.f64 1 (/.f64 y z)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 z x))
✓	0.0b	(-.f64 (neg.f64 z) (.f64 (/.f64 1 y) (.f64 z (+.f64 z x))))
✓	6.3b	(.f64 (/.f64 1 y) (.f64 z (+.f64 z x)))

Compiler

Compiled 41 to 16 computations (61% saved)

series14.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
497×	`fma-def_binary64`
302×	`pow2_binary64`
221×	`pow-unpow_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	248	30
2	3784	30

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

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

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-neg_binary64`
379×	`div-sub_binary64`
308×	`distribute-rgt-out--_binary64`
299×	`distribute-rgt-neg-in_binary64`
289×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	1164
1	105	1083
2	250	919
3	585	917
4	1887	917
5	4570	917
6	6977	917

Stop Event

1×	node limit

Counts

326 → 257

Calls

Call 1

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

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

eval172.0ms (2.5%)

Compiler: Compiled 10540 to 4143 computations (60.7% saved)

prune117.0ms (1.7%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	613	10	623
Fresh	6	3	9
Picked	1	0	1
Done	1	6	7
Total	621	19	640

Error

Counts

640 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.8b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)
	53.5b	(.f64 -1 (/.f64 (.f64 z x) y))
	33.9b	(-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 z x))))
	41.2b	x
	33.4b	(-.f64 (neg.f64 z) (.f64 (/.f64 1 y) (.f64 z x)))
✓	54.6b	(/.f64 x (/.f64 (neg.f64 y) z))
▶	54.8b	(*.f64 (/.f64 x y) (neg.f64 z))
	33.7b	(-.f64 (neg.f64 z) (*.f64 z (/.f64 x y)))
	54.6b	(*.f64 (neg.f64 x) (/.f64 z y))
✓	32.0b	(+.f64 y x)
✓	40.7b	(neg.f64 z)
	53.6b	y
✓	8.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
	53.8b	(+.f64 y (.f64 (.f64 y (/.f64 y z)) (+.f64 1 (/.f64 y z))))
✓	32.8b	(/.f64 x (-.f64 1 (/.f64 y z)))
▶	41.3b	(*.f64 z (-.f64 -1 (/.f64 z y)))
✓	38.4b	(/.f64 y (-.f64 1 (/.f64 y z)))
▶	62.2b	(*.f64 (/.f64 z y) x)
▶	38.4b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) y)

Compiler

Compiled 306 to 206 computations (32.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
	0.2b	(/.f64 1 (-.f64 1 (/.f64 y z)))
✓	1.9b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)

Compiler

Compiled 31 to 16 computations (48.4% saved)

series3.0ms (0.1%)

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

rewrite62.0ms (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)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(*.f64 (/.f64 z y) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

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

59 → 24

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
✓	7.0b	(*.f64 (/.f64 x y) (neg.f64 z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

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

rewrite51.0ms (0.8%)

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)))))))

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

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)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`pow1_binary64`
791×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	151	17
2	2062	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-neg_binary64`
471×	`unswap-sqr_binary64`
463×	`div-sub_binary64`
365×	`distribute-rgt-neg-in_binary64`
347×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	435
1	36	417
2	69	399
3	129	363
4	346	363
5	1241	363
6	4304	363
7	7697	363

Stop Event

1×	node limit

Counts

95 → 58

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (/.f64 y z))
	0.2b	(/.f64 1 (-.f64 1 (/.f64 y z)))
✓	8.1b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) y)

Compiler

Compiled 30 to 16 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2378	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-/l*_binary64`
510×	`fma-neg_binary64`
501×	`fma-def_binary64`
399×	`associate-/r*_binary64`
320×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	444
1	100	426
2	305	408
3	1227	354
4	7490	354

Stop Event

1×	node limit

Counts

48 → 39

Calls

Call 1

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

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

eval110.0ms (1.6%)

Compiler: Compiled 5027 to 2815 computations (44% saved)

prune65.0ms (1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	393	3	396
Fresh	3	5	8
Picked	0	1	1
Done	2	8	10
Total	398	17	415

Error

Counts

415 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	53.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
	53.6b	y
	41.2b	x
	33.7b	(-.f64 (neg.f64 z) (*.f64 z (/.f64 x y)))
✓	38.4b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) y)
	54.6b	(*.f64 (/.f64 (neg.f64 z) y) x)
✓	40.7b	(neg.f64 z)
✓	32.8b	(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)
✓	8.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
	33.9b	(-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 z x))))
	33.4b	(-.f64 (neg.f64 z) (.f64 (/.f64 1 y) (.f64 z x)))
	53.8b	(+.f64 y (.f64 (.f64 y (/.f64 y z)) (+.f64 1 (/.f64 y z))))
✓	32.8b	(/.f64 x (-.f64 1 (/.f64 y z)))
✓	41.3b	(*.f64 z (-.f64 -1 (/.f64 z y)))
✓	38.4b	(/.f64 y (-.f64 1 (/.f64 y z)))
✓	62.2b	(*.f64 (/.f64 z y) x)
✓	32.0b	(+.f64 y x)

Compiler

Compiled 164 to 111 computations (32.3% saved)

regimes228.0ms (3.4%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	z
73.0ms	y
48.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
22.0ms	x

Results

Error	Segments	Branch
8.3b	1	`x`
2.9b	3	`y`
3.7b	3	`z`
0.1b	3	`(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))`

Compiler

Compiled 329 to 138 computations (58.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.480061675179054e-255
0.0ms	-6.130710099904688e-267	-2.5476151645346756e-271

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes205.0ms (3%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	z
64.0ms	y
44.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
19.0ms	x

Results

Error	Segments	Branch
8.3b	1	`x`
2.9b	3	`y`
3.7b	3	`z`
0.1b	3	`(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))`

Compiler

Compiled 244 to 102 computations (58.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.480061675179054e-255
0.0ms	-6.130710099904688e-267	-2.5476151645346756e-271

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes149.0ms (2.2%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	y
38.0ms	z
35.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
14.0ms	x

Results

Error	Segments	Branch
8.3b	1	`x`
3.0b	3	`y`
3.9b	3	`z`
0.1b	3	`(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))`

Compiler

Compiled 178 to 75 computations (57.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.480061675179054e-255
0.0ms	-6.130710099904688e-267	-2.5476151645346756e-271

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes239.0ms (3.5%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

123.0ms	x
70.0ms	z
39.0ms	y

Results

Error	Segments	Branch
16.6b	6	`x`
13.0b	3	`y`
14.9b	5	`z`

Compiler

Compiled 157 to 63 computations (59.9% saved)

bsearch71.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.613914637093929e-64	1.0852684099576832e-56
36.0ms	-2.4438914743020444e-30	-7.731961436899739e-31

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes360.0ms (5.3%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

3 calls:

179.0ms	z
96.0ms	x
78.0ms	y

Results

Error	Segments	Branch
17.3b	6	`x`
15.6b	4	`y`
18.7b	11	`z`

Compiler

Compiled 106 to 45 computations (57.5% saved)

bsearch100.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
34.0ms	2.7069182788710137e+51	1.4859294020564273e+58
33.0ms	-3.5470999373193547e-7	-1.2543854015932808e-7
33.0ms	-1.788122082435576e+120	-5.9728789968025555e+118

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes221.0ms (3.3%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

130.0ms	z
56.0ms	x
29.0ms	y

Results

Error	Segments	Branch
19.4b	6	`x`
16.6b	3	`y`
20.0b	9	`z`

Compiler

Compiled 99 to 42 computations (57.6% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.7069182788710137e+51	1.4859294020564273e+58
20.0ms	-9.567327470886502e+79	-1.8010985754888495e+68

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes121.0ms (1.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
44.0ms	z
27.0ms	y

Results

Error	Segments	Branch
26.3b	5	`x`
16.9b	3	`y`
22.1b	5	`z`

Compiler

Compiled 92 to 38 computations (58.7% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.4859294020564273e+58	2.6348786483251898e+63
21.0ms	-4.395808124878851e+95	-6.034559195239231e+84

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes106.0ms (1.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
39.0ms	z
25.0ms	y

Results

Error	Segments	Branch
26.3b	5	`x`
17.0b	3	`y`
22.1b	5	`z`

Compiler

Compiled 71 to 28 computations (60.6% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.4859294020564273e+58	2.6348786483251898e+63
20.0ms	-4.395808124878851e+95	-6.034559195239231e+84

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes73.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

Inputs
x
y
x
x
(neg.f64 z)

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

Calls

3 calls:

30.0ms	x
27.0ms	z
14.0ms	y

Results

Error	Segments	Branch
28.5b	7	`x`
22.8b	3	`y`
31.1b	5	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	7.37320025760238e-30	9.847697805157666e-25
20.0ms	-2.4438914743020444e-30	-7.731961436899739e-31

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes32.0ms (0.5%)

Accuracy

Total -25.7b remaining (-70.4%)

Threshold costs -25.7b (-70.4%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
x
x

Outputs
x
y
x

Calls

3 calls:

15.0ms	x
12.0ms	y
4.0ms	z

Results

Error	Segments	Branch
36.5b	3	`x`
39.4b	2	`y`
41.2b	1	`z`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch65.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	7.922498490892363e-234	1.5670600316956265e-229
26.0ms	-1.0209056636638623e-180	-8.248266477723467e-181

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	449
1	89	449
2	116	449
3	141	449
4	155	449
5	161	449
6	162	449

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 z x)))) (+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 z x)))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 y -3571751391151472128/1461501637330902918203684832716283019655932542976) (-.f64 (neg.f64 z) (.f64 z (/.f64 x y))) (if (<=.f64 y 2392045410301325/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 y x) (-.f64 (neg.f64 z) (.f64 z (/.f64 x y)))))
(if (<=.f64 y -1788122082435576065826300897581963003328144936326964578072491195382273462102690953182402449425581541244296964635327725568) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y -837535292769297/2361183241434822606848) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y 2706918278871013654652727822414069929797769119137792) (/.f64 x (-.f64 1 (/.f64 y z))) (neg.f64 z))))
(if (<=.f64 y -95673274708865019077333846250523777426315559434264764714444751449483980167970816) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y 2706918278871013654652727822414069929797769119137792) (/.f64 x (-.f64 1 (/.f64 y z))) (neg.f64 z)))
(if (<=.f64 y -439580812487885078666989207570670574764020096661822718594545492283095908367806100116061059809280) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y 14859294020564272868564154557265195126986929162825276325888) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y -439580812487885078666989207570670574764020096661822718594545492283095908367806100116061059809280) (neg.f64 z) (if (<=.f64 y 14859294020564272868564154557265195126986929162825276325888) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y -3571751391151472128/1461501637330902918203684832716283019655932542976) (neg.f64 z) (if (<=.f64 y 10775944248854513664/1461501637330902918203684832716283019655932542976) x (neg.f64 z)))
(if (<=.f64 x -2384804590930201/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) x (if (<=.f64 x 226891673074929248/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) y x))
x

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 z x)))) (+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 x z)))) (+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 z x)))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (/.f64 z (/.f64 y (+.f64 x z)))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 y -3571751391151472128/1461501637330902918203684832716283019655932542976) (-.f64 (neg.f64 z) (.f64 z (/.f64 x y))) (if (<=.f64 y 2392045410301325/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 y x) (-.f64 (neg.f64 z) (.f64 z (/.f64 x y)))))
(if (<=.f64 y -6976076935842719/2854495385411919762116571938898990272765493248) (-.f64 (neg.f64 z) (.f64 z (/.f64 x y))) (if (<=.f64 y 2392045410301325/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 x y) (-.f64 (neg.f64 z) (.f64 z (/.f64 x y)))))
(if (<=.f64 y -1788122082435576065826300897581963003328144936326964578072491195382273462102690953182402449425581541244296964635327725568) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y -837535292769297/2361183241434822606848) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y 2706918278871013654652727822414069929797769119137792) (/.f64 x (-.f64 1 (/.f64 y z))) (neg.f64 z))))
(if (<=.f64 y -95673274708865019077333846250523777426315559434264764714444751449483980167970816) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y 2706918278871013654652727822414069929797769119137792) (/.f64 x (-.f64 1 (/.f64 y z))) (neg.f64 z)))
(if (<=.f64 y -439580812487885078666989207570670574764020096661822718594545492283095908367806100116061059809280) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y 14859294020564272868564154557265195126986929162825276325888) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y -439580812487885078666989207570670574764020096661822718594545492283095908367806100116061059809280) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y 14859294020564272868564154557265195126986929162825276325888) (+.f64 x y) (neg.f64 z)))
(if (<=.f64 y -439580812487885078666989207570670574764020096661822718594545492283095908367806100116061059809280) (neg.f64 z) (if (<=.f64 y 14859294020564272868564154557265195126986929162825276325888) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y -439580812487885078666989207570670574764020096661822718594545492283095908367806100116061059809280) (neg.f64 z) (if (<=.f64 y 14859294020564272868564154557265195126986929162825276325888) (+.f64 x y) (neg.f64 z)))
(if (<=.f64 y -3571751391151472128/1461501637330902918203684832716283019655932542976) (neg.f64 z) (if (<=.f64 y 10775944248854513664/1461501637330902918203684832716283019655932542976) x (neg.f64 z)))
(if (<=.f64 y -6976076935842719/2854495385411919762116571938898990272765493248) (neg.f64 z) (if (<=.f64 y 5261691527760993/713623846352979940529142984724747568191373312) x (neg.f64 z)))
(if (<=.f64 x -2384804590930201/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) x (if (<=.f64 x 226891673074929248/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) y x))
(if (<=.f64 x -2384804590930201/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) x (if (<=.f64 x 7090364783591539/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728) y x))
x

Compiler

Compiled 339 to 191 computations (43.7% saved)

soundness203.0ms (3%)

Algorithm

2×	egg-herbie

Rules

660×	`fma-def_binary64`
660×	`fma-def_binary64`
491×	`times-frac_binary64`
491×	`times-frac_binary64`
434×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 286 to 192 computations (32.9% saved)

end210.0ms (3.1%)

Compiler: Compiled 309 to 135 computations (56.3% 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