Details

analyze394.0ms (5.6%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	57.7%	7.9%	10
41.3%	50.3%	8.3%	11
46.8%	42.3%	10.9%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.6s (22.9%)

Results

1.4s	8256×	body	256	valid
155.0ms	1073×	body	256	invalid

preprocess131.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

2243×	`fma-neg_binary64`
413×	`unsub-neg_binary64`
262×	`associate--r+_binary64`
234×	`distribute-rgt-in_binary64`
215×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	144	44
3	494	44
4	1584	44
5	2961	44
6	3611	44
7	3718	44
8	3756	44
9	3772	44
10	3960	44
11	4041	44
12	4087	44
13	4154	44
14	4204	44
15	4204	44
16	6258	44
17	6258	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
208×	`distribute-rgt-in_binary64`
163×	`distribute-lft-in_binary64`
138×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	153	11
4	470	11
5	1119	11
6	1863	11
7	2564	11
8	2672	11
9	2672	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.0b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
▶	2.8b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series27.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
18.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	z	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	z	@	-inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`prod-diff_binary64`
479×	`log-prod_binary64`
360×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	193	30
2	2558	30

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

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

Outputs

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

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

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

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
406×	`fma-neg_binary64`
146×	`distribute-rgt-in_binary64`
123×	`unsub-neg_binary64`
103×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	784
1	82	763
2	196	703
3	453	703
4	938	703
5	1565	703
6	2360	703
7	2512	703
8	2513	703
9	2513	703

Stop Event

1×

saturated

Counts

226 → 171

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
	0.0b	(-.f64 (*.f64 x y) x)
✓	0.0b	(-.f64 (*.f64 x y) x)
✓	2.8b	(fma.f64 z (-.f64 (*.f64 x y) x) x)

Compiler

Compiled 22 to 6 computations (72.7% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	151	18
2	2068	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-def_binary64`
409×	`fma-neg_binary64`
165×	`distribute-rgt-in_binary64`
147×	`unsub-neg_binary64`
141×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	531
1	78	530
2	188	530
3	425	530
4	934	530
5	1962	530
6	2328	530
7	2439	530
8	2439	530

Stop Event

1×

saturated

Counts

119 → 79

Calls

Call 1

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

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

eval101.0ms (1.4%)

Compiler: Compiled 3370 to 1890 computations (43.9% saved)

prune52.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	237	13	250
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	239	13	252

Error

0.0b

Counts

252 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	18.8b	(fma.f64 z (neg.f64 x) x)
	28.8b	x
	14.9b	(.f64 x (pow.f64 (sqrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) 2))
▶	47.3b	(.f64 x (.f64 z y))
	45.7b	(.f64 y (.f64 z x))
	13.4b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
▶	36.6b	(.f64 (-.f64 (.f64 x y) x) z)
▶	3.1b	(+.f64 (.f64 (-.f64 (.f64 y x) x) z) x)
	32.8b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
	36.6b	(.f64 z (.f64 (-.f64 y 1) x))
▶	18.8b	(-.f64 x (*.f64 x z))
▶	13.1b	(.f64 x (-.f64 1 (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))
	13.6b	(fma.f64 z (*.f64 y x) x)

Compiler

Compiled 268 to 183 computations (31.7% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 30 to 7 computations (76.7% saved)

series11.0ms (0.2%)

Counts

3 → 75

Calls

24 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
440×	`prod-exp_binary64`
419×	`fma-def_binary64`
365×	`pow-prod-down_binary64`
347×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2618	28

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

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

Outputs

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

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

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

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
439×	`fma-neg_binary64`
150×	`distribute-rgt-in_binary64`
131×	`distribute-lft-in_binary64`
124×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	704
1	88	661
2	221	661
3	506	661
4	1138	661
5	2249	661
6	2548	661
7	2611	661
8	2611	661

Stop Event

1×

saturated

Counts

297 → 246

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1644	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
18×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.9b	(.f64 x (.f64 z y))
✓	6.9b	(.f64 x (.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	2055	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-def_binary64`
243×	`fma-neg_binary64`
91×	`cancel-sign-sub-inv_binary64`
90×	`associate-l_binary64`
73×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	350
1	54	350
2	136	350
3	280	350
4	596	350
5	1055	350
6	1534	350
7	1585	350
8	1657	350
9	1657	350

Stop Event

1×

saturated

Counts

55 → 28

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.6b	(.f64 z (-.f64 1 (.f64 y y)))
	2.7b	(.f64 x (-.f64 1 (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))
	0.0b	(-.f64 1 (*.f64 y y))
	0.0b	(-.f64 1 (/.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 y)))
✓	0.0b	(-.f64 1 (*.f64 y y))
✓	2.7b	(.f64 x (-.f64 1 (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))
✓	3.6b	(.f64 z (-.f64 1 (.f64 y y)))
✓	6.2b	(/.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 y))

Compiler

Compiled 64 to 35 computations (45.3% saved)

series16.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
701×	`log-prod_binary64`
357×	`fma-def_binary64`
240×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	268	43
2	3891	43

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 z 1) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 z 1) (-.f64 1 y)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 z 1) (-.f64 1 y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (/.f64 1 (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 (-.f64 1 (.f64 y y)) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 y y)) (.f64 z (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (-.f64 1 (.f64 y y))) (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) 2) (cbrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 2) (.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) (sqrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (.f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (neg.f64 (-.f64 1 (.f64 y y)))) (/.f64 1 (fma.f64 -1 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 y)) (.f64 z (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 y y)) 1) (/.f64 z (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (+.f64 1 y)) (-.f64 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 1) (/.f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (cbrt.f64 (pow.f64 (+.f64 1 y) 2))) (/.f64 (-.f64 1 (.f64 y y)) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 y) 2))) (/.f64 (.f64 z (-.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 y y)) (cbrt.f64 (pow.f64 (+.f64 1 y) 2))) (/.f64 z (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 2) (cbrt.f64 (pow.f64 (+.f64 1 y) 2))) (cbrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (cbrt.f64 (pow.f64 (+.f64 1 y) 2))) (/.f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (sqrt.f64 (+.f64 1 y))) (/.f64 (-.f64 1 (.f64 y y)) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 y y)) (sqrt.f64 (+.f64 1 y))) (/.f64 z (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 1 y))) (/.f64 (.f64 z (-.f64 1 (.f64 y y))) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 2) (sqrt.f64 (+.f64 1 y))) (/.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z (-.f64 1 (.f64 y y))) (-.f64 1 (.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 z (-.f64 1 (.f64 y y))) (fma.f64 -1 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 z 1) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1)) (cbrt.f64 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1))) (cbrt.f64 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1)) (sqrt.f64 (fma.f64 (/.f64 z 1) (-.f64 1 y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 z 1) (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 z 1) (-.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 (.f64 y y)))) (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 (.f64 y y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 (.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (-.f64 1 (.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 y 6)) z) (+.f64 1 (fma.f64 y y (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 y 4)) z) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (-.f64 1 (pow.f64 y 6))) (+.f64 1 (fma.f64 y y (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (-.f64 1 (pow.f64 y 4))) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (-.f64 1 (.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (-.f64 1 (.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (-.f64 1 (.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (-.f64 1 (.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (-.f64 1 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (-.f64 1 (.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 (.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 y y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z z)) (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z z)) (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (-.f64 1 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (-.f64 1 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (-.f64 1 (.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (-.f64 1 (.f64 y y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 3)) x) (fma.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) (fma.f64 (/.f64 z 1) (-.f64 1 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 2)) x) (fma.f64 (/.f64 z 1) (-.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 3))) (fma.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) (fma.f64 (/.f64 z 1) (-.f64 1 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 (/.f64 z 1) (-.f64 1 y)) 2))) (fma.f64 (/.f64 z 1) (-.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 x (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 x (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (/.f64 (neg.f64 z) (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (.f64 (/.f64 z 1) (-.f64 1 y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 y y)))) (cbrt.f64 (exp.f64 (-.f64 1 (.f64 y y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 y y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y y))) 2) (cbrt.f64 (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 y y))) (sqrt.f64 (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 y 6)) (/.f64 1 (+.f64 1 (fma.f64 y y (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 y 4)) (/.f64 1 (fma.f64 y y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 y y (pow.f64 y 4))) (-.f64 1 (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y 1) (-.f64 1 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y 6)) (+.f64 1 (fma.f64 y y (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y 4)) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 y 6))) (neg.f64 (+.f64 1 (fma.f64 y y (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 y 4))) (neg.f64 (fma.f64 y y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 1 (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 (cbrt.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 y))) (cbrt.f64 (.f64 y (neg.f64 y)))) (cbrt.f64 (.f64 y (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y (neg.f64 y))) (sqrt.f64 (.f64 y (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) 1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) (sqrt.f64 y)) (sqrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 y (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 y y))))))))

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64`
440×	`distribute-rgt-neg-in_binary64`
424×	`associate-/l*_binary64`
404×	`distribute-rgt-in_binary64`
357×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	41	1242
1	102	1224
2	246	1200
3	705	1106
4	2393	1106
5	5964	966

Stop Event

1×	node limit

Counts

258 → 195

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))
(.f64 (-.f64 1 (.f64 y y)) (/.f64 z (+.f64 1 y)))
(/.f64 (neg.f64 z) (/.f64 1 (+.f64 y -1)))
z
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 y z) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(*.f64 (-.f64 1 (pow.f64 y 2)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
z
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 (.f64 y y) z))
(.f64 y (.f64 z (neg.f64 y)))
(.f64 z (.f64 y (neg.f64 y)))
(.f64 (.f64 y y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 (.f64 y y) z))
(.f64 y (.f64 z (neg.f64 y)))
(.f64 z (.f64 y (neg.f64 y)))
(.f64 (.f64 y y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) z)
(.f64 (-.f64 1 (.f64 y y)) z)
(-.f64 z (.f64 (.f64 y y) z))
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) z) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
x
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x)) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x)) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x)) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x))
(.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (*.f64 z x))
(.f64 (+.f64 (/.f64 y (/.f64 (+.f64 1 y) y)) (/.f64 -1 (+.f64 1 y))) (.f64 z x))
(.f64 (-.f64 0 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 1 y))) (*.f64 z x))
(/.f64 (fma.f64 y y -1) (/.f64 (/.f64 (+.f64 1 y) x) z))
(*.f64 x (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) z)))
(*.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))))
(+.f64 x (.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x)))
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(+.f64 x (.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x)))
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(+.f64 x (.f64 (-.f64 (/.f64 (pow.f64 y 2) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (.f64 z x)))
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(.f64 -1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 z x)) (+.f64 1 y)))
(.f64 (-.f64 (/.f64 (.f64 y y) (+.f64 1 y)) (/.f64 1 (+.f64 1 y))) (*.f64 z x))
(.f64 (+.f64 (/.f64 y (/.f64 (+.f64 1 y) y)) (/.f64 -1 (+.f64 1 y))) (.f64 z x))
(.f64 (-.f64 0 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 1 y))) (*.f64 z x))
(/.f64 (fma.f64 y y -1) (/.f64 (/.f64 (+.f64 1 y) x) z))
(*.f64 x (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) z)))
(*.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 z x)) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 z x)) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 z x)) (+.f64 1 y))) x)
(.f64 (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))) x)
(-.f64 x (.f64 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y)) x))
(fma.f64 z (/.f64 (fma.f64 y y -1) (/.f64 (+.f64 1 y) x)) x)
(*.f64 (fma.f64 z (/.f64 (fma.f64 y y -1) (+.f64 1 y)) 1) x)
(fma.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 z (neg.f64 x) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 (.f64 y z) x)
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (.f64 y (.f64 z x)))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (.f64 y (.f64 z x)))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (.f64 y (.f64 z x)))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 (.f64 y z) x)
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (.f64 y (.f64 z x)))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (.f64 y (.f64 z x)))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (.f64 y (.f64 z x)))
(fma.f64 y (.f64 z x) (.f64 x (-.f64 1 z)))
(.f64 x (+.f64 (.f64 y z) (-.f64 1 z)))
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(*.f64 x (-.f64 (fma.f64 y z 1) z))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(-.f64 1 (*.f64 y y))

eval281.0ms (4%)

Compiler: Compiled 8938 to 4137 computations (53.7% saved)

prune120.0ms (1.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	562	11	573
Fresh	6	2	8
Picked	1	0	1
Done	1	3	4
Total	570	16	586

Error

Counts

586 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	18.8b	(fma.f64 z (neg.f64 x) x)
▶	52.2b	(*.f64 (neg.f64 x) z)
▶	2.9b	(*.f64 x (-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))
▶	46.5b	(.f64 (.f64 x y) z)
✓	47.3b	(.f64 x (.f64 z y))
▶	36.6b	(*.f64 z (/.f64 x (/.f64 1 (+.f64 y -1))))
	13.6b	(+.f64 (.f64 (.f64 y x) z) x)
▶	12.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	18.8b	(-.f64 x (*.f64 x z))
✓	36.6b	(.f64 (-.f64 (.f64 x y) x) z)
	36.6b	(.f64 (.f64 (-.f64 y 1) x) z)
	13.6b	(fma.f64 z (*.f64 y x) x)
	23.6b	(.f64 x (-.f64 1 (/.f64 (.f64 (*.f64 y y) (neg.f64 z)) (+.f64 1 y))))
	45.7b	(.f64 y (.f64 z x))
	45.0b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x y) (neg.f64 x))) z)
	28.8b	x

Compiler

Compiled 306 to 199 computations (35% saved)

localize28.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)
	0.1b	(/.f64 (/.f64 1 (-.f64 1 y)) z)
	0.0b	(/.f64 1 (-.f64 1 y))
	0.0b	(-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1))
✓	0.0b	(/.f64 1 (-.f64 1 y))
✓	0.1b	(/.f64 (/.f64 1 (-.f64 1 y)) z)
✓	0.3b	(pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)
✓	2.7b	(*.f64 x (-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))

Compiler

Compiled 56 to 42 computations (25% saved)

series23.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(/.f64 (/.f64 1 (-.f64 1 y)) z)
2.0ms	x	@	0	(*.f64 x (-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))
1.0ms	y	@	-inf	(*.f64 x (-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))
1.0ms	z	@	-inf	(*.f64 x (-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))
1.0ms	y	@	inf	(*.f64 x (-.f64 1 (pow.f64 (/.f64 (/.f64 1 (-.f64 1 y)) z) -1)))

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
435×	`prod-diff_binary64`
341×	`pow2_binary64`
236×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	265	37
2	3554	37

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
482×	`fma-neg_binary64`
348×	`times-frac_binary64`
337×	`distribute-rgt-out_binary64`
313×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1189
1	402	1140
2	1402	1080
3	4756	1075

Stop Event

1×	node limit

Counts

270 → 234

Calls

Call 1

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

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

localize6.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	4.4b	(.f64 (.f64 x y) z)
✓	4.4b	(.f64 (.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
531×	`add-log-exp_binary64`
531×	`log1p-expm1-u_binary64`
531×	`expm1-log1p-u_binary64`
518×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1452	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(.f64 y (.f64 z x))
	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	2.8b	(.f64 y (.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 18

Calls

18 calls:

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

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	151	15
2	2105	15

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

168×	`fma-def_binary64`
124×	`fma-neg_binary64`
60×	`associate-l_binary64`
51×	`associate-r_binary64`
44×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	36	126
2	88	126
3	221	126
4	441	126
5	671	126
6	807	126
7	853	126

Stop Event

1×

saturated

Counts

68 → 55

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
388×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
268×	`pow2_binary64`
188×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	211	24
2	2750	24

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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

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

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

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

521×	`sub-neg_binary64`
409×	`distribute-rgt-neg-in_binary64`
358×	`distribute-lft-neg-in_binary64`
353×	`fma-neg_binary64`
300×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	687
1	112	681
2	282	676
3	720	672
4	2452	672
5	4625	672
6	6218	672
7	7306	672

Stop Event

1×	node limit

Counts

226 → 181

Calls

Call 1

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

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

eval157.0ms (2.3%)

Compiler: Compiled 6845 to 4440 computations (35.1% saved)

prune91.0ms (1.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	477	6	483
Fresh	5	3	8
Picked	1	0	1
Done	1	6	7
Total	484	15	499

Error

Counts

499 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	36.6b	(.f64 z (.f64 (-.f64 y 1) x))
✓	46.5b	(.f64 (.f64 x y) z)
✓	47.3b	(.f64 x (.f64 z y))
	28.8b	x
▶	13.6b	(+.f64 (.f64 (.f64 y x) z) x)
✓	12.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	18.8b	(-.f64 x (*.f64 x z))
▶	45.7b	(.f64 y (.f64 z x))
	13.6b	(fma.f64 z (*.f64 y x) x)
✓	52.2b	(*.f64 (neg.f64 x) z)
▶	2.9b	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))
▶	36.7b	(/.f64 z (/.f64 1 (*.f64 x (+.f64 y -1))))
▶	45.0b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x y) (neg.f64 x))) z)
✓	36.6b	(.f64 (-.f64 (.f64 x y) x) z)
	46.6b	(*.f64 z (/.f64 x (/.f64 1 y)))

Compiler

Compiled 247 to 159 computations (35.6% saved)

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.7b	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))
	0.2b	(/.f64 (-.f64 1 y) (/.f64 1 z))
	0.0b	(-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z)))
✓	0.0b	(-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z)))
✓	0.2b	(/.f64 (-.f64 1 y) (/.f64 1 z))
✓	2.7b	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))

Compiler

Compiled 40 to 28 computations (30% saved)

series7.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))
0.0ms	x	@	0	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))
0.0ms	y	@	inf	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))
0.0ms	z	@	inf	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))
0.0ms	x	@	inf	(*.f64 x (-.f64 1 (/.f64 (-.f64 1 y) (/.f64 1 z))))

rewrite88.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`prod-diff_binary64`
566×	`log-prod_binary64`
299×	`pow2_binary64`
216×	`fma-def_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	226	30
2	3180	30

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
406×	`fma-neg_binary64`
146×	`distribute-rgt-in_binary64`
123×	`unsub-neg_binary64`
103×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	784
1	82	763
2	196	703
3	453	703
4	938	703
5	1565	703
6	2360	703
7	2512	703
8	2513	703
9	2513	703

Stop Event

1×

saturated

Counts

294 → 238

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.8b	(.f64 y (.f64 z x))
	2.8b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.4b	(.f64 (.f64 y x) z)
	0.0b	(+.f64 (.f64 (.f64 y x) z) x)
✓	0.0b	(+.f64 (.f64 (.f64 y x) z) x)
✓	4.4b	(.f64 (.f64 y x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	151	15
2	2098	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-def_binary64`
128×	`fma-neg_binary64`
54×	`associate-l_binary64`
53×	`associate-r_binary64`
43×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	522
1	39	522
2	93	522
3	222	522
4	438	522
5	666	522
6	807	522
7	853	522

Stop Event

1×

saturated

Counts

119 → 53

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.9b	(/.f64 z (/.f64 1 (*.f64 x (+.f64 y -1))))
	0.2b	(/.f64 1 (*.f64 x (+.f64 y -1)))
	0.0b	(*.f64 x (+.f64 y -1))
✓	0.0b	(*.f64 x (+.f64 y -1))
✓	0.2b	(/.f64 1 (*.f64 x (+.f64 y -1)))
✓	2.9b	(/.f64 z (/.f64 1 (*.f64 x (+.f64 y -1))))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series7.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
275×	`pow2_binary64`
233×	`prod-diff_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	217	27
2	2964	27

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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

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

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

610×	`distribute-rgt-neg-in_binary64`
572×	`times-frac_binary64`
388×	`sub-neg_binary64`
367×	`associate-/l/_binary64`
247×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	898
1	131	893
2	311	889
3	768	883
4	2645	877
5	5872	877

Stop Event

1×	node limit

Counts

254 → 199

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.9b	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x)))
	2.9b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x y) (neg.f64 x))) z)
	0.3b	(pow.f64 (*.f64 x y) 2)
	0.0b	(-.f64 (*.f64 x y) (neg.f64 x))
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	2.9b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x y) (neg.f64 x))) z)
✓	4.9b	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x)))
✓	25.5b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))

Compiler

Compiled 77 to 22 computations (71.4% saved)

series26.0ms (0.4%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
4.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
1.0ms	z	@	0	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x y) (neg.f64 x))) z)
1.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
385×	`fma-def_binary64`
315×	`pow2_binary64`
234×	`fma-neg_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	308	28
2	4629	28

Stop Event

1×	node limit

Counts

4 → 350

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2))) (/.f64 (pow.f64 x 3) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x y 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (/.f64 1 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (/.f64 1 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (/.f64 1 (neg.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (pow.f64 (fma.f64 x y x) 2) (cbrt.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (fma.f64 x y x) 2) (sqrt.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (sqrt.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x y x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x y x) 1) (/.f64 (fma.f64 x y x) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (pow.f64 (fma.f64 x y x) 2)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 3) (pow.f64 (fma.f64 x y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 x y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (neg.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x))) (exp.f64 (/.f64 x (/.f64 (fma.f64 x y x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 3) (pow.f64 (fma.f64 x y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 y -1) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 y -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y -1) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x y) 2) (/.f64 1 (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (/.f64 1 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) (.f64 (fma.f64 x y x) (/.f64 1 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (/.f64 1 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (/.f64 1 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (/.f64 1 (neg.f64 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (/.f64 1 (neg.f64 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x y x)) (pow.f64 (fma.f64 x y x) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x))) 2) (cbrt.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x))) (sqrt.f64 (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 x y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (pow.f64 (fma.f64 x y x) 2) (cbrt.f64 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (pow.f64 (fma.f64 x y x) 2) (cbrt.f64 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (pow.f64 (.f64 x y) 2) (cbrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (fma.f64 x y x) 2) (sqrt.f64 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (fma.f64 x y x) 2) (sqrt.f64 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (.f64 x y) 2) (sqrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (sqrt.f64 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (sqrt.f64 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x y) 1) (/.f64 (.f64 x y) (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x y) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x x) 1) (/.f64 (.f64 y y) (fma.f64 x y x)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x y) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (.f64 x y) (cbrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x y) 4)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (.f64 y y) (cbrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x y) (sqrt.f64 (fma.f64 x y x))) (/.f64 (.f64 x y) (sqrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x y) 4)) (sqrt.f64 (fma.f64 x y x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (sqrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x y x))) (/.f64 (.f64 y y) (sqrt.f64 (fma.f64 x y x))) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x y x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x y x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x y x) 1) (/.f64 (fma.f64 x y x) (fma.f64 x y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x y x) 1) (/.f64 (fma.f64 x y x) (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (pow.f64 (fma.f64 x y x) 2)) (fma.f64 x y x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (pow.f64 (fma.f64 x y x) 2)) (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (fma.f64 x y x) 2)) (fma.f64 x y x) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (.f64 x y) 2) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)) (/.f64 x (/.f64 (fma.f64 x y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 x y x) 2) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 x y x) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) (fma.f64 x y x)) (.f64 x (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x y x) (.f64 x y)) (.f64 (fma.f64 x y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x y x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x y x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x y x) 2) (.f64 (/.f64 1 (fma.f64 x y x)) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x y x) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x y x) 3) (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (.f64 (cbrt.f64 (fma.f64 x y x)) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x y x)) (.f64 (sqrt.f64 (fma.f64 x y x)) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6)) (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (pow.f64 (/.f64 1 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (/.f64 1 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 x y x)) 3) (sqrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x y x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (cbrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 (/.f64 1 (fma.f64 x y x)) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 (fma.f64 x y x) (/.f64 1 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x y x) (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 1 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (fma.f64 x y x) 2) (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x y x) 3) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (.f64 (/.f64 1 (fma.f64 x y x)) (neg.f64 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6)) (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) 2) (pow.f64 (neg.f64 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) 2) (pow.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6))) (neg.f64 (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2)) (neg.f64 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (pow.f64 (fma.f64 x y x) 2)) (neg.f64 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) 1) (.f64 (neg.f64 (fma.f64 x y x)) (/.f64 1 (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) (neg.f64 (pow.f64 (fma.f64 x y x) 2))) (neg.f64 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x y x) 2)) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (.f64 (fma.f64 x y x) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (fma.f64 x y x)) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x y x)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x y x) (neg.f64 (pow.f64 (fma.f64 x y x) 2))) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x y x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x y x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 (.f64 x y) 2)) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2))) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (.f64 x y) 2)) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2))) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (exp.f64 (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 y (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 x (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) (.f64 x y) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) (fma.f64 x y x) (.f64 x (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x y) 2) 1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 1 (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 y y) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 2) 1 (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 2) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 (/.f64 1 (fma.f64 x y x)) (fma.f64 x y x)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 (/.f64 1 (fma.f64 x y x)) (fma.f64 x y x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) (.f64 x y) (.f64 (fma.f64 x y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) (fma.f64 x y x) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y x) (fma.f64 x y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (.f64 x y) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (fma.f64 x y x) 2) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (fma.f64 x y x) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 3) (/.f64 1 (fma.f64 x y x)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x y x) 3) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (.f64 (cbrt.f64 (fma.f64 x y x)) (fma.f64 x y x)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (.f64 (cbrt.f64 (fma.f64 x y x)) (fma.f64 x y x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 2) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (pow.f64 (.f64 x y) 4)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 x y) 4)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y x)) (.f64 (sqrt.f64 (fma.f64 x y x)) (fma.f64 x y x)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y x)) (.f64 (sqrt.f64 (fma.f64 x y x)) (fma.f64 x y x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y y) (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6)) (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 x 6)) (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x y)) y (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (pow.f64 (/.f64 1 (fma.f64 x y x)) 2) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (pow.f64 (/.f64 1 (fma.f64 x y x)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (/.f64 1 (pow.f64 (fma.f64 x y x) 2)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 2) 2) (/.f64 1 (pow.f64 (fma.f64 x y x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (.f64 x y)) 3) (sqrt.f64 (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (fma.f64 x y x)) 3) (sqrt.f64 (fma.f64 x y x)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (fma.f64 x y x)) 3) (sqrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 x y x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (cbrt.f64 (fma.f64 x y x)) (fma.f64 x x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 x y x) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (cbrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x y) y) x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x y) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 x y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x y x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 (fma.f64 x y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x y x) (.f64 (pow.f64 (fma.f64 x y x) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) z)) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) z) 1) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) z) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) (cbrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y x) 2) z) (sqrt.f64 (fma.f64 x y x))) (sqrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) z) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (neg.f64 (pow.f64 (fma.f64 x y x) 2))) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 z 3) (pow.f64 (fma.f64 x y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x y x) (.f64 (pow.f64 (fma.f64 x y x) 2) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 x y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (fma.f64 x y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x y x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x y x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 y (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 x (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x y) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (pow.f64 (.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x y) 4)) (pow.f64 (cbrt.f64 (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y y) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x y)) 3) (sqrt.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x y) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x y) 2)))))))

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

636×	`times-frac_binary64`
573×	`associate-l_binary64`
543×	`associate-/l*_binary64`
530×	`associate-r_binary64`
497×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1371
1	107	1257
2	283	1257
3	1081	1113
4	7412	1113

Stop Event

1×	node limit

Counts

458 → 375

Calls

Call 1

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

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

eval377.0ms (5.4%)

Compiler: Compiled 16395 to 7459 computations (54.5% saved)

prune152.0ms (2.2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	872	4	876
Fresh	1	3	4
Picked	1	0	1
Done	2	8	10
Total	876	15	891

Error

Counts

891 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.3b	(.f64 x (.f64 z y))
	28.8b	x
✓	13.6b	(+.f64 (.f64 (.f64 y x) z) x)
✓	12.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	18.8b	(-.f64 x (*.f64 x z))
✓	36.6b	(.f64 (-.f64 (.f64 x y) x) z)
	36.5b	(/.f64 z (/.f64 (/.f64 1 x) (+.f64 y -1)))
✓	45.7b	(.f64 y (.f64 z x))
	13.6b	(fma.f64 z (*.f64 y x) x)
✓	52.2b	(*.f64 (neg.f64 x) z)
✓	46.5b	(.f64 (.f64 x y) z)
	46.6b	(/.f64 z (/.f64 1 (*.f64 y x)))
	37.4b	(.f64 (.f64 z (+.f64 y -1)) x)
	52.3b	(/.f64 z (/.f64 -1 x))
	46.6b	(*.f64 z (/.f64 x (/.f64 1 y)))

Compiler

Compiled 132 to 87 computations (34.1% saved)

regimes118.0ms (1.7%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	x
26.0ms	z
25.0ms	y

Results

Error	Segments	Branch
9.6b	4	`x`
1.9b	3	`y`
2.2b	3	`z`

Compiler

Compiled 102 to 49 computations (52% saved)

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.49982573943127834	181.34251334716734
19.0ms	-2355102573533962.0	-61406.71568518088

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes104.0ms (1.5%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	y
32.0ms	x
20.0ms	z

Results

Error	Segments	Branch
16.4b	5	`x`
6.7b	5	`y`
8.1b	3	`z`

Compiler

Compiled 73 to 39 computations (46.6% saved)

bsearch247.0ms (3.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
42.0ms	1.0380368781850702e+192	3.6195507792055884e+192
140.0ms	1.3669458873757962e+136	1.9336441516415281e+143
20.0ms	422554249.6120175	134339804431.72833
45.0ms	-2.2638543130332096e+41	-2.780705164555947e+40

Compiler

Compiled 232 to 163 computations (29.7% saved)

regimes87.0ms (1.2%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	y
30.0ms	x
19.0ms	z

Results

Error	Segments	Branch
16.5b	5	`x`
6.7b	5	`y`
10.9b	3	`z`

Compiler

Compiled 66 to 37 computations (43.9% saved)

bsearch214.0ms (3.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	1.0380368781850702e+192	3.6195507792055884e+192
133.0ms	1.3669458873757962e+136	1.9336441516415281e+143
20.0ms	2009362665475139000.0	2.3388059309088168e+21
21.0ms	-2.2638543130332096e+41	-2.780705164555947e+40

Compiler

Compiled 214 to 154 computations (28% saved)

regimes78.0ms (1.1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	z
23.0ms	y
22.0ms	x

Results

Error	Segments	Branch
26.4b	5	`x`
16.8b	5	`y`
14.7b	7	`z`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch337.0ms (4.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
42.0ms	2.118811557948022e+175	3.6329650665984175e+180
20.0ms	2.777232188605324e-14	1.2836580877462557e-9
19.0ms	-3.8440667262099275	-0.0009771717334112748
130.0ms	-7.864238170842628e+31	-1.5092327849333017e+28
81.0ms	-4.2460930845492454e+105	-1.7486806453424846e+100
45.0ms	-5.896219770056353e+186	-3.2883949721416314e+178

Compiler

Compiled 613 to 434 computations (29.2% saved)

regimes21.0ms (0.3%)

Accuracy

Total -42.2b remaining (-216.1%)

Threshold costs -42.2b (-216.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
28.8b	1	`x`
28.8b	1	`y`
19.5b	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.003565542402349825	6.231324282030237
20.0ms	-20488.52853859795	-3.8440667262099275

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	250
1	79	250
2	89	250
3	94	250
4	97	250
5	98	250

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y -2355102573533962) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 9220157496741428224/18446744073709551616) (-.f64 x (.f64 x z)) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -226385431303320962389243459563476641382400) (.f64 y (.f64 z x)) (if (<=.f64 y 1814856682869435904/4294967296) (-.f64 x (.f64 x z)) (if (<=.f64 y 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296) (.f64 (-.f64 (.f64 x y) x) z) (if (<=.f64 y 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192) x (.f64 (*.f64 x y) z)))))
(if (<=.f64 y -226385431303320962389243459563476641382400) (.f64 y (.f64 z x)) (if (<=.f64 y 2009362665475139072) (-.f64 x (.f64 x z)) (if (<=.f64 y 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296) (.f64 (.f64 x y) z) (if (<=.f64 y 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192) x (.f64 (*.f64 x y) z)))))
(if (<=.f64 z -5800000000000000002545653773060871264151097412452286091333745343279294745794856046069767583989059980211949771756532079616512357585114042309468297881129822781870887404509741307104658980864) (.f64 (neg.f64 x) z) (if (<=.f64 z -4200000000000000199017958141443679279773794822893009045416936667498916658794919902010438662267173563531264) (.f64 (.f64 x y) z) (if (<=.f64 z -15500000000000000343396057088) (.f64 (neg.f64 x) z) (if (<=.f64 z -1082008592234147/281474976710656) (.f64 (.f64 x y) z) (if (<=.f64 z 8801400127146745/316912650057057350374175801344) x (if (<=.f64 z 3600000000000000217570274696099078240358014504784984756569870964726768712356174455691304975417151111797801260174997069778058172659401136683156530020976766627508583699180528628400128) (.f64 (.f64 x y) z) (*.f64 (neg.f64 x) z)))))))
(if (<=.f64 z -703980480131527/34359738368) (.f64 (neg.f64 x) z) (if (<=.f64 z 65772648180106752/18446744073709551616) x (.f64 (neg.f64 x) z)))
x

Outputs
(if (<=.f64 y -2355102573533962) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 9220157496741428224/18446744073709551616) (-.f64 x (.f64 x z)) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -2355102573533962) (+.f64 x (.f64 y (.f64 z x))) (if (<=.f64 y 9004060055411551/18014398509481984) (-.f64 x (.f64 z x)) (+.f64 x (.f64 y (*.f64 z x)))))
(if (<=.f64 y -226385431303320962389243459563476641382400) (.f64 y (.f64 z x)) (if (<=.f64 y 1814856682869435904/4294967296) (-.f64 x (.f64 x z)) (if (<=.f64 y 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296) (.f64 (-.f64 (.f64 x y) x) z) (if (<=.f64 y 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192) x (.f64 (*.f64 x y) z)))))
(if (<=.f64 y -226385431303320962389243459563476641382400) (.f64 y (.f64 z x)) (if (<=.f64 y 3544641958729367/8388608) (-.f64 x (.f64 z x)) (if (<=.f64 y 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 y 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192) x (.f64 z (*.f64 y x))))))
(if (<=.f64 y -226385431303320962389243459563476641382400) (.f64 y (.f64 z x)) (if (<=.f64 y 2009362665475139072) (-.f64 x (.f64 x z)) (if (<=.f64 y 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296) (.f64 (.f64 x y) z) (if (<=.f64 y 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192) x (.f64 (*.f64 x y) z)))))
(if (<=.f64 y -226385431303320962389243459563476641382400) (.f64 y (.f64 z x)) (if (<=.f64 y 2009362665475139072) (-.f64 x (.f64 z x)) (if (<=.f64 y 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296) (.f64 z (.f64 y x)) (if (<=.f64 y 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192) x (.f64 z (*.f64 y x))))))
(if (<=.f64 z -5800000000000000002545653773060871264151097412452286091333745343279294745794856046069767583989059980211949771756532079616512357585114042309468297881129822781870887404509741307104658980864) (.f64 (neg.f64 x) z) (if (<=.f64 z -4200000000000000199017958141443679279773794822893009045416936667498916658794919902010438662267173563531264) (.f64 (.f64 x y) z) (if (<=.f64 z -15500000000000000343396057088) (.f64 (neg.f64 x) z) (if (<=.f64 z -1082008592234147/281474976710656) (.f64 (.f64 x y) z) (if (<=.f64 z 8801400127146745/316912650057057350374175801344) x (if (<=.f64 z 3600000000000000217570274696099078240358014504784984756569870964726768712356174455691304975417151111797801260174997069778058172659401136683156530020976766627508583699180528628400128) (.f64 (.f64 x y) z) (*.f64 (neg.f64 x) z)))))))
(if (<=.f64 z -5800000000000000002545653773060871264151097412452286091333745343279294745794856046069767583989059980211949771756532079616512357585114042309468297881129822781870887404509741307104658980864) (.f64 z (neg.f64 x)) (if (<=.f64 z -4200000000000000199017958141443679279773794822893009045416936667498916658794919902010438662267173563531264) (.f64 z (.f64 y x)) (if (<=.f64 z -15500000000000000343396057088) (.f64 z (neg.f64 x)) (if (<=.f64 z -1082008592234147/281474976710656) (.f64 z (.f64 y x)) (if (<=.f64 z 8801400127146745/316912650057057350374175801344) x (if (<=.f64 z 3600000000000000217570274696099078240358014504784984756569870964726768712356174455691304975417151111797801260174997069778058172659401136683156530020976766627508583699180528628400128) (.f64 z (.f64 y x)) (*.f64 z (neg.f64 x))))))))
(if (<=.f64 z -703980480131527/34359738368) (.f64 (neg.f64 x) z) (if (<=.f64 z 65772648180106752/18446744073709551616) x (.f64 (neg.f64 x) z)))
(if (<=.f64 z -703980480131527/34359738368) (.f64 z (neg.f64 x)) (if (<=.f64 z 128462203476771/36028797018963968) x (.f64 z (neg.f64 x))))
x

end60.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 367 to 161 computations (56.1% saved)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160