Details

analyze197.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample934.0ms (13.7%)

Results

921.0ms	8252×	body	256	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

preprocess150.0ms (2.2%)

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)

simplify84.0ms (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

9.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.1b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.9%)

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	13
1	203	13
2	3021	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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))))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
489×	`times-frac_binary64`
434×	`sub-neg_binary64`
407×	`unsub-neg_binary64`
364×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1010
1	372	964
2	1329	803
3	6735	793

Stop Event

1×	node limit

Counts

77 → 80

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

eval25.0ms (0.4%)

Compiler: Compiled 1519 to 767 computations (49.5% saved)

prune20.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	11	81

Error

0.0b

Counts

81 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	35.4b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2)
	43.7b	x
▶	32.7b	(-.f64 (.f64 (+.f64 (/.f64 z y) 1) (/.f64 (.f64 z (-.f64 (neg.f64 x) z)) y)) z)
	37.5b	(/.f64 y (-.f64 1 (/.f64 y z)))
▶	31.6b	(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
▶	35.5b	(.f64 -1 (/.f64 (.f64 (+.f64 y x) z) y))
✓	9.1b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
▶	33.5b	(/.f64 x (-.f64 1 (/.f64 y z)))
	33.4b	(+.f64 y x)
	32.7b	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
▶	41.6b	(neg.f64 z)

Compiler

Compiled 218 to 147 computations (32.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series11.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

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)))))))

simplify135.0ms (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)

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(/.f64 x (-.f64 1 (/.f64 y z)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

78 → 69

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 y x) z)
✓	9.8b	(/.f64 (*.f64 (+.f64 y x) z) y)

Compiler

Compiled 31 to 9 computations (71% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`pow1_binary64`
908×	`add-log-exp_binary64`
908×	`log1p-expm1-u_binary64`
908×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	17
2	2375	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

87×	`times-frac_binary64`
52×	`associate-/l*_binary64`
49×	`fma-def_binary64`
27×	`associate-/r*_binary64`
25×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	372
1	16	354
2	27	318
3	33	318
4	39	318
5	44	318
6	50	318
7	60	318
8	100	318
9	121	318
10	193	318
11	301	318
12	369	318
13	389	318
14	417	318
15	417	318

Stop Event

1×

saturated

Counts

112 → 74

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (-.f64 (neg.f64 x) z))
✓	0.1b	(.f64 (+.f64 (/.f64 z y) 1) (/.f64 (.f64 z (-.f64 (neg.f64 x) z)) y))
✓	5.7b	(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)

Compiler

Compiled 65 to 18 computations (72.3% saved)

series23.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)
3.0ms	x	@	0	(.f64 (+.f64 (/.f64 z y) 1) (/.f64 (.f64 z (-.f64 (neg.f64 x) z)) y))
2.0ms	x	@	0	(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)
1.0ms	x	@	inf	(.f64 (+.f64 (/.f64 z y) 1) (/.f64 (.f64 z (-.f64 (neg.f64 x) z)) y))
1.0ms	y	@	0	(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`prod-diff_binary64`
702×	`log-prod_binary64`
406×	`fma-def_binary64`
231×	`log-div_binary64`
225×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	267	36
2	4064	36

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

835×	`times-frac_binary64`
628×	`associate-/l*_binary64`
605×	`fma-def_binary64`
517×	`associate-l_binary64`
471×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1904
1	158	1803
2	470	1484
3	1707	1343

Stop Event

1×	node limit

Counts

297 → 231

Calls

Call 1

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

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

eval102.0ms (1.5%)

Compiler: Compiled 7755 to 2793 computations (64% saved)

prune78.0ms (1.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	432	11	443
Fresh	2	3	5
Picked	1	0	1
Done	3	2	5
Total	438	16	454

Error

Counts

454 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.5b	(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))
	51.8b	(*.f64 x (/.f64 z (neg.f64 y)))
	35.4b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2)
	52.1b	(.f64 x (.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))
	49.1b	(.f64 -1 (/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 y x) z) 3)) y))
	37.5b	(/.f64 y (-.f64 1 (/.f64 y z)))
▶	31.6b	(*.f64 (pow.f64 (/.f64 y (+.f64 y x)) -1) (neg.f64 z))
	38.9b	(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
✓	41.6b	(neg.f64 z)
	51.6b	(*.f64 (/.f64 x y) (neg.f64 z))
	43.7b	x
▶	51.0b	(.f64 -1 (/.f64 (.f64 z x) y))
✓	33.5b	(/.f64 x (-.f64 1 (/.f64 y z)))
	32.0b	(.f64 -1 (+.f64 (/.f64 (.f64 z x) y) z))
▶	33.4b	(+.f64 y x)
▶	42.1b	(-.f64 (*.f64 (/.f64 z (/.f64 y z)) (-.f64 -1 (/.f64 z y))) z)

Compiler

Compiled 321 to 216 computations (32.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (+.f64 y x))
✓	0.1b	(pow.f64 (/.f64 y (+.f64 y x)) -1)
✓	2.9b	(*.f64 (pow.f64 (/.f64 y (+.f64 y x)) -1) (neg.f64 z))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series12.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
473×	`prod-diff_binary64`
318×	`pow-prod-down_binary64`
262×	`pow2_binary64`
203×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	220	24
2	3077	24

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

478×	`cancel-sign-sub-inv_binary64`
470×	`fma-def_binary64`
356×	`associate-/r/_binary64`
304×	`associate-+l+_binary64`
259×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1035
1	300	975
2	1149	888
3	4630	849

Stop Event

1×	node limit

Counts

205 → 153

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

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

localize8.0ms (0.1%)

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series20.0ms (0.3%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(/.f64 (*.f64 z x) y)
2.0ms	y	@	-inf	(/.f64 (*.f64 z x) y)
1.0ms	z	@	0	(/.f64 (*.f64 z x) y)
1.0ms	y	@	0	(/.f64 (*.f64 z x) y)
1.0ms	x	@	0	(/.f64 (*.f64 z x) y)

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 y x) z)
✓	9.8b	(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	179	10
2	2839	10

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify147.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	426
1	35	396
2	84	336
3	195	336
4	432	336
5	854	336
6	1991	336
7	4736	336
8	6876	336
9	7549	336
10	7790	336
11	7924	336
12	7936	336
13	7936	336

Stop Event

1×	node limit

Counts

83 → 54

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))

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

localize35.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 16 computations (65.2% saved)

series15.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
265×	`pow2_binary64`
237×	`pow-unpow_binary64`
211×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	23
2	2918	23

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
368×	`distribute-rgt-out--_binary64`
325×	`cancel-sign-sub-inv_binary64`
323×	`distribute-rgt-out_binary64`
312×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	627
1	41	609
2	103	519
3	332	519
4	2091	519
5	5763	519

Stop Event

1×	node limit

Counts

157 → 116

Calls

Call 1

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

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

eval247.0ms (3.6%)

Compiler: Compiled 5811 to 2356 computations (59.5% saved)

prune76.0ms (1.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	386	5	391
Fresh	4	5	9
Picked	0	1	1
Done	3	3	6
Total	393	14	407

Error

Counts

407 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	x
	31.6b	(*.f64 z (-.f64 -1 (/.f64 x y)))
	35.4b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2)
▶	52.1b	(.f64 x (.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))
▶	37.5b	(/.f64 y (-.f64 1 (/.f64 y z)))
	38.9b	(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
✓	33.4b	(+.f64 y x)
▶	31.2b	(neg.f64 (/.f64 z (/.f64 y (+.f64 y x))))
✓	41.6b	(neg.f64 z)
	51.6b	(*.f64 (/.f64 x y) (neg.f64 z))
▶	51.8b	(*.f64 x (/.f64 z (neg.f64 y)))
▶	51.0b	(/.f64 (*.f64 z x) (neg.f64 y))
✓	33.5b	(/.f64 x (-.f64 1 (/.f64 y z)))
✓	42.1b	(-.f64 (*.f64 (/.f64 z (/.f64 y z)) (-.f64 -1 (/.f64 z y))) z)

Compiler

Compiled 237 to 158 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (+.f64 y x))
✓	2.5b	(/.f64 z (/.f64 y (+.f64 y x)))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`prod-diff_binary64`
478×	`log-prod_binary64`
368×	`exp-prod_binary64`
293×	`pow-prod-down_binary64`
231×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	10
2	2571	10

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-/l*_binary64`
730×	`associate-/l/_binary64`
684×	`fma-def_binary64`
599×	`associate-/r/_binary64`
551×	`associate-*l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	10	324
1	18	324
2	31	324
3	43	324
4	56	324
5	72	324
6	81	264
7	92	264
8	270	264
9	1250	264
10	1504	264
11	1641	264
12	1654	264
13	1659	264
14	1664	264
15	6231	264
16	6935	264
17	7250	264
18	7539	264
19	7738	264
20	7990	264

Stop Event

1×	node limit

Counts

101 → 71

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(*.f64 x (/.f64 z (neg.f64 y)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

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

59 → 25

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(/.f64 (*.f64 z x) (neg.f64 y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2173	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify30.0ms (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

82 → 48

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)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.0b	(/.f64 y (-.f64 1 (/.f64 y z)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2153	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify62.0ms (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

57 → 48

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))))

localize25.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))
✓	5.1b	(.f64 x (.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))

Compiler

Compiled 35 to 14 computations (60% saved)

series20.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

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

rewrite104.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
395×	`exp-prod_binary64`
389×	`pow-prod-down_binary64`
263×	`pow2_binary64`
206×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	194	29
2	2733	29

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

584×	`div-sub_binary64`
472×	`times-frac_binary64`
468×	`fma-neg_binary64`
403×	`distribute-rgt-neg-in_binary64`
361×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	1008
1	74	990
2	198	900
3	706	840
4	3949	840
5	7664	840

Stop Event

1×	node limit

Counts

171 → 124

Calls

Call 1

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

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

eval104.0ms (1.5%)

Compiler: Compiled 5162 to 2151 computations (58.3% saved)

prune77.0ms (1.1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	372	5	377
Fresh	2	3	5
Picked	0	1	1
Done	1	7	8
Total	375	16	391

Error

Counts

391 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	x
	31.6b	(*.f64 z (-.f64 -1 (/.f64 x y)))
✓	51.8b	(*.f64 x (/.f64 z (neg.f64 y)))
	62.1b	(/.f64 x (/.f64 y z))
✓	51.0b	(/.f64 (*.f64 z x) (neg.f64 y))
	51.2b	(neg.f64 (/.f64 z (/.f64 y x)))
	32.0b	(neg.f64 (+.f64 (/.f64 (*.f64 z x) y) z))
	48.8b	(pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 (/.f64 y z)))) 2)
✓	33.4b	(+.f64 y x)
	51.6b	y
✓	41.6b	(neg.f64 z)
	51.6b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	52.1b	(.f64 x (.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))
✓	33.5b	(/.f64 x (-.f64 1 (/.f64 y z)))
✓	37.5b	(/.f64 y (-.f64 1 (/.f64 y z)))
✓	42.1b	(-.f64 (*.f64 (/.f64 z (/.f64 y z)) (-.f64 -1 (/.f64 z y))) z)

Compiler

Compiled 147 to 99 computations (32.7% saved)

regimes285.0ms (4.2%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

5 calls:

79.0ms	z
77.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
54.0ms	y
48.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
19.0ms	x

Results

Error	Segments	Branch
9.1b	1	`x`
3.6b	3	`y`
2.5b	3	`z`
0.1b	3	`(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))`
0.1b	3	`(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))`

Compiler

Compiled 277 to 117 computations (57.8% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.670828278533808e-289
0.0ms	-7.231880801433004e-201	-3.5417736119789383e-259

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes182.0ms (2.7%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

3 calls:

72.0ms	z
63.0ms	x
42.0ms	y

Results

Error	Segments	Branch
18.1b	6	`x`
14.0b	4	`y`
11.7b	5	`z`

Compiler

Compiled 150 to 54 computations (64% saved)

bsearch91.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	6.014845664009336e+71	1.5289118368822298e+74
20.0ms	4.9054715775803576e-33	1.085247789176835e-29
19.0ms	1.5836852612595462e-57	7.688367190520866e-52
20.0ms	-3.0057694370324236e-43	-9.643093107417844e-50

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes464.0ms (6.8%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

3 calls:

194.0ms	y
157.0ms	x
109.0ms	z

Results

Error	Segments	Branch
18.1b	6	`x`
14.0b	4	`y`
11.7b	5	`z`

Compiler

Compiled 100 to 40 computations (60% saved)

bsearch81.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	6.014845664009336e+71	1.5289118368822298e+74
20.0ms	4.9054715775803576e-33	1.085247789176835e-29
21.0ms	1.5836852612595462e-57	7.688367190520866e-52
20.0ms	-3.0057694370324236e-43	-9.643093107417844e-50

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes147.0ms (2.2%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	z
51.0ms	x
36.0ms	y

Results

Error	Segments	Branch
18.1b	6	`x`
14.0b	4	`y`
13.4b	5	`z`

Compiler

Compiled 92 to 38 computations (58.7% saved)

bsearch80.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	6.014845664009336e+71	1.5289118368822298e+74
20.0ms	4.9054715775803576e-33	1.085247789176835e-29
20.0ms	1.5836852612595462e-57	7.688367190520866e-52
20.0ms	-3.0057694370324236e-43	-9.643093107417844e-50

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes174.0ms (2.6%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	x
60.0ms	z
31.0ms	y

Results

Error	Segments	Branch
24.6b	10	`x`
20.3b	5	`y`
19.7b	7	`z`

Compiler

Compiled 64 to 26 computations (59.4% saved)

bsearch128.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
22.0ms	3.437887669645677e+81	3.61374208830337e+83
24.0ms	4.9054715775803576e-33	1.085247789176835e-29
18.0ms	1.5836852612595462e-57	7.688367190520866e-52
22.0ms	2.9663908819537288e-195	1.7676050698007417e-194
22.0ms	-1.3192549904598366e-274	-1.3014196713411658e-287
19.0ms	-9.643093107417844e-50	-1.5723458433510865e-69

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes137.0ms (2%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	x
46.0ms	z
33.0ms	y

Results

Error	Segments	Branch
24.6b	10	`x`
20.3b	5	`y`
20.3b	7	`z`

Compiler

Compiled 46 to 24 computations (47.8% saved)

bsearch84.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	1.0387455609475687e+136	3.261557380973339e+144
22.0ms	2.431603767878879e-76	9.734854581287138e-72
18.0ms	9.312982468483618e-115	6.283074283893313e-93
22.0ms	-2.572709844382832e+100	-1.8315509790497637e+96

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes72.0ms (1.1%)

Counts

4 → 6

Calls

Call 1

Inputs
y
x
x
(neg.f64 z)

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

Calls

3 calls:

25.0ms	x
23.0ms	z
22.0ms	y

Results

Error	Segments	Branch
32.6b	7	`x`
25.8b	6	`y`
30.8b	5	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch99.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	1.0387455609475687e+136	3.261557380973339e+144
19.0ms	89912875158.15721	2879512420876.3267
21.0ms	4.2216013860003254e-14	4.998630076577049e-12
20.0ms	9.312982468483618e-115	6.283074283893313e-93
20.0ms	-1.8315509790497637e+96	-7.58325743152806e+89

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes34.0ms (0.5%)

Accuracy

Total -24.0b remaining (-62.7%)

Threshold costs -24.0b (-62.7%)

Counts

3 → 5

Calls

Call 1

Inputs
y
x
x

Outputs
x
y
x
y
x

Calls

3 calls:

16.0ms	x
9.0ms	y
7.0ms	z

Results

Error	Segments	Branch
38.3b	5	`x`
38.9b	3	`y`
41.4b	2	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch93.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.395128238784143e+64	9.148741857647337e+67
20.0ms	322478166637057.2	162535229201816350.0
20.0ms	1.638924803530347e-87	1.265253502568126e-83
34.0ms	-9.984834175420983e-144	-2.4627649054544484e-147

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
11×	`*-commutative_binary64`
11×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	427
1	118	427
2	141	427
3	160	427
4	167	427
5	169	427

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (neg.f64 (/.f64 z (/.f64 y (+.f64 y x)))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 y x) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 (+.f64 (/.f64 (*.f64 z x) y) z)) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (neg.f64 (/.f64 z (/.f64 y (+.f64 y x)))) (+.f64 y x)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 y x) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 (+.f64 (/.f64 (.f64 z x) y) z)) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 y x) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -2599772758823529984/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 y x) (if (<=.f64 z -5142621657255047/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (neg.f64 z) (if (<=.f64 z 249657906819048832/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (*.f64 z x) (neg.f64 y)) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 z) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 3437887669645676910985959269335279696201533452600685580615881083967980302749401088) (neg.f64 z) (+.f64 y x)))))))
(if (<=.f64 y -25727098443828319051853294731640983816988827832835467458005523473430859796527819239979347990290628608) (neg.f64 z) (if (<=.f64 y 5164364850448597/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (+.f64 y x) (if (<=.f64 y 1981305742143907/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 z) (if (<=.f64 y 10387455609475687487268286793940770522696120122041424962198374849943496068980636870423985417644756760677148924180723915295580351063130112) (+.f64 y x) (neg.f64 z)))))
(if (<=.f64 y -1831550979049763699049021059609799444854852244836067371796813910345727870907215752840552564916224) (neg.f64 z) (if (<=.f64 y 5164364850448597/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) x (if (<=.f64 y 6689394413609547/158456325028528675187087900672) (neg.f64 z) (if (<=.f64 y 5892530186364991/65536) x (if (<=.f64 y 10387455609475687487268286793940770522696120122041424962198374849943496068980636870423985417644756760677148924180723915295580351063130112) y (neg.f64 z))))))
(if (<=.f64 x -4386807442190215/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) x (if (<=.f64 x 15035487074434603008/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) y (if (<=.f64 x 5159650666192915/16) x (if (<=.f64 x 13951282387841428835785501292368456615139703737187489491512721408) y x))))
y

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (neg.f64 (/.f64 z (/.f64 y (+.f64 y x)))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (/.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 y (+.f64 x y))) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 y x) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 (+.f64 (/.f64 (*.f64 z x) y) z)) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (neg.f64 (/.f64 z (/.f64 y (+.f64 y x)))) (+.f64 y x)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 (+.f64 z (/.f64 (*.f64 x z) y))) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (/.f64 (neg.f64 z) (/.f64 y (+.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (-.f64 (/.f64 (neg.f64 (*.f64 x z)) y) z) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (/.f64 (neg.f64 z) (/.f64 y (+.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (-.f64 (/.f64 (*.f64 z (neg.f64 x)) y) z) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (/.f64 (neg.f64 z) (/.f64 y (+.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 y x) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 (+.f64 (/.f64 (.f64 z x) y) z)) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 (+.f64 z (/.f64 (.f64 x z) y))) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (-.f64 (/.f64 (neg.f64 (.f64 x z)) y) z) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (-.f64 (/.f64 (.f64 z (neg.f64 x)) y) z) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 y x) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 y x)))))
(if (<=.f64 z -7547008219747389/25108406941546723055343157692830665664409421777856138051584) (+.f64 x y) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 z (-.f64 -1 (/.f64 x y))) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 601484566400933571642789880427288934039621020187701337088101891287547904) (.f64 z (-.f64 -1 (/.f64 x y))) (+.f64 x y)))))
(if (<=.f64 z -2599772758823529984/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 y x) (if (<=.f64 z -5142621657255047/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (neg.f64 z) (if (<=.f64 z 249657906819048832/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (*.f64 z x) (neg.f64 y)) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 z) (if (<=.f64 z 7169354742513900/1461501637330902918203684832716283019655932542976) (+.f64 y x) (if (<=.f64 z 3437887669645676910985959269335279696201533452600685580615881083967980302749401088) (neg.f64 z) (+.f64 y x)))))))
(if (<=.f64 z -5077681169577207/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 x y) (if (<=.f64 z -5142621657255047/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (neg.f64 z) (if (<=.f64 z 1950452397023819/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (/.f64 (*.f64 x z) (neg.f64 y)) (if (<=.f64 z 1399064827694609/883423532389192164791648750371459257913741948437809479060803100646309888) (neg.f64 z) (if (<=.f64 z 1792338685628475/365375409332725729550921208179070754913983135744) (+.f64 x y) (if (<=.f64 z 3437887669645676910985959269335279696201533452600685580615881083967980302749401088) (neg.f64 z) (+.f64 x y)))))))
(if (<=.f64 y -25727098443828319051853294731640983816988827832835467458005523473430859796527819239979347990290628608) (neg.f64 z) (if (<=.f64 y 5164364850448597/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (+.f64 y x) (if (<=.f64 y 1981305742143907/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 z) (if (<=.f64 y 10387455609475687487268286793940770522696120122041424962198374849943496068980636870423985417644756760677148924180723915295580351063130112) (+.f64 y x) (neg.f64 z)))))
(if (<=.f64 y -25727098443828319051853294731640983816988827832835467458005523473430859796527819239979347990290628608) (neg.f64 z) (if (<=.f64 y 5164364850448597/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (+.f64 x y) (if (<=.f64 y 1981305742143907/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 z) (if (<=.f64 y 10387455609475687487268286793940770522696120122041424962198374849943496068980636870423985417644756760677148924180723915295580351063130112) (+.f64 x y) (neg.f64 z)))))
(if (<=.f64 y -1831550979049763699049021059609799444854852244836067371796813910345727870907215752840552564916224) (neg.f64 z) (if (<=.f64 y 5164364850448597/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) x (if (<=.f64 y 6689394413609547/158456325028528675187087900672) (neg.f64 z) (if (<=.f64 y 5892530186364991/65536) x (if (<=.f64 y 10387455609475687487268286793940770522696120122041424962198374849943496068980636870423985417644756760677148924180723915295580351063130112) y (neg.f64 z))))))
(if (<=.f64 x -4386807442190215/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) x (if (<=.f64 x 15035487074434603008/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) y (if (<=.f64 x 5159650666192915/16) x (if (<=.f64 x 13951282387841428835785501292368456615139703737187489491512721408) y x))))
(if (<=.f64 x -4386807442190215/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) x (if (<=.f64 x 7341546423063771/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) y (if (<=.f64 x 5159650666192915/16) x (if (<=.f64 x 13951282387841428835785501292368456615139703737187489491512721408) y x))))
y

Compiler

Compiled 321 to 176 computations (45.2% saved)

soundness79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
489×	`times-frac_binary64`
434×	`sub-neg_binary64`
407×	`unsub-neg_binary64`
364×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1010
1	372	964
2	1329	803
3	6735	793

Stop Event

1×	node limit

Compiler

Compiled 45 to 29 computations (35.6% saved)

end104.0ms (1.5%)

Compiler: Compiled 297 to 136 computations (54.2% saved)

Iter	Nodes	Cost
0	9	372
1	16	354
2	27	318
3	33	318
4	39	318
5	44	318
6	50	318
7	60	318
8	100	318
9	121	318
10	193	318
11	301	318
12	369	318
13	389	318
14	417	318
15	417	318

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	9	372
1	16	354
2	27	318
3	33	318
4	39	318
5	44	318
6	50	318
7	60	318
8	100	318
9	121	318
10	193	318
11	301	318
12	369	318
13	389	318
14	417	318
15	417	318

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	9	372
1	16	354
2	27	318
3	33	318
4	39	318
5	44	318
6	50	318
7	60	318
8	100	318
9	121	318
10	193	318
11	301	318
12	369	318
13	389	318
14	417	318
15	417	318

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