Details

analyze406.0ms (2.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
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)

sample2.3s (16%)

Results

2.1s	8256×	body	256	valid
174.0ms	1070×	body	256	invalid

preprocess252.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2243×	`fma-neg_binary64`
416×	`unsub-neg_binary64`
263×	`associate--r+_binary64`
226×	`distribute-rgt-in_binary64`
214×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	144	44
3	521	44
4	1653	44
5	3028	44
6	3697	44
7	3803	44
8	3841	44
9	3857	44
10	4045	44
11	4126	44
12	4172	44
13	4239	44
14	4289	44
15	4289	44
16	6343	44
17	6343	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))
(*.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))
(*.f64 y (fma.f64 x z (-.f64 1 z)))
(.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))
(*.f64 x (fma.f64 y z (-.f64 1 y)))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
203×	`distribute-rgt-in_binary64`
160×	`distribute-lft-in_binary64`
141×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	161	11
4	493	11
5	1149	11
6	1895	11
7	2598	11
8	2708	11
9	2708	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 x (fma.f64 y z (neg.f64 z)) x)

eval1.0ms (0%)

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

prune2.0ms (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

2.8b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series16.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite84.0ms (0.6%)

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	20
1	193	20
2	2559	20

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
408×	`fma-neg_binary64`
140×	`distribute-rgt-in_binary64`
125×	`unsub-neg_binary64`
104×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	613
1	68	592
2	169	532
3	419	532
4	929	532
5	1582	532
6	2419	532
7	2582	532
8	2584	532
9	2584	532

Stop Event

1×

saturated

Counts

144 → 102

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))

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series13.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
574×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	9
2	1773	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify211.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-def_binary64`
578×	`fma-neg_binary64`
205×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64`
154×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	373
1	83	372
2	233	372
3	653	372
4	1599	372
5	2812	372
6	3164	372
7	3219	372
8	3219	372

Stop Event

1×

saturated

Counts

57 → 34

Calls

Call 1

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

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

eval289.0ms (2%)

Compiler: Compiled 1727 to 997 computations (42.3% saved)

prune86.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	125	11	136
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	126	12	138

Error

0.0b

Counts

138 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 y) z)) 2)))
	22.6b	(/.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))
	29.5b	(.f64 z (.f64 (-.f64 y 1) x))
▶	2.8b	(+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x))
	21.2b	(*.f64 (-.f64 1 z) x)
✓	2.8b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
	4.6b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
	36.4b	x
▶	44.7b	(.f64 y (.f64 z x))
▶	18.5b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
	18.2b	(*.f64 x (-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z 1)) (sqrt.f64 (fma.f64 (-.f64 1 y) z 1)) -1)))
▶	21.2b	(-.f64 x (*.f64 z x))

Compiler

Compiled 287 to 207 computations (27.9% saved)

localize43.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 19 computations (47.2% saved)

series20.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite159.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
416×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
262×	`pow2_binary64`
210×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	219	28
2	3182	28

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs

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

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

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

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Rules

919×	`fma-def_binary64`
480×	`fma-neg_binary64`
135×	`distribute-rgt-in_binary64`
124×	`unsub-neg_binary64`
113×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	1001
1	77	940
2	199	940
3	561	880
4	1173	880
5	2104	880
6	2840	880
7	2926	880
8	2926	880

Stop Event

1×

saturated

Counts

343 → 270

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series16.0ms (0.1%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(.f64 y (.f64 z x))
2.0ms	y	@	0	(.f64 y (.f64 z x))
1.0ms	z	@	0	(.f64 y (.f64 z x))
1.0ms	z	@	inf	(.f64 y (.f64 z x))
1.0ms	z	@	-inf	(.f64 y (.f64 z x))

rewrite55.0ms (0.4%)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1654	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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 x (+.f64 1 (neg.f64 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 (+.f64 (neg.f64 z) 1) x)))) (#(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 expm1.f64 (log1p.f64 (-.f64 x (*.f64 x 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 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)))))))

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`associate-r_binary64`
18×	`sub-neg_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	371	160
7	450	160
8	518	160
9	524	160

Stop Event

1×

saturated

Counts

64 → 47

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary64`
748×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
733×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	188	17
2	2495	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def_binary64`
60×	`fma-neg_binary64`
55×	`associate-l_binary64`
49×	`unsub-neg_binary64`
48×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	498
1	34	378
2	75	378
3	160	378
4	330	378
5	501	378
6	684	378
7	787	378
8	919	378

Stop Event

1×

saturated

Counts

104 → 53

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 y) z)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) z)) 2)
✓	1.7b	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 y) z)) 2)))
✓	1.7b	(sqrt.f64 (*.f64 (-.f64 1 y) z))

Compiler

Compiled 52 to 37 computations (28.8% saved)

series28.0ms (0.2%)

Counts

3 → 25

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	(sqrt.f64 (*.f64 (-.f64 1 y) z))
3.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) z)) 2)
2.0ms	y	@	inf	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 y) z)) 2)))
2.0ms	z	@	-inf	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 y) z)) 2)))
1.0ms	z	@	inf	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 y) z)) 2)))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`prod-diff_binary64`
528×	`log-prod_binary64`
345×	`pow-prod-down_binary64`
290×	`pow2_binary64`
219×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	257	29
2	2933	29

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

656×	`cancel-sign-sub-inv_binary64`
616×	`fma-def_binary64`
363×	`distribute-rgt-out_binary64`
313×	`associate-l_binary64`
307×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	309
1	188	298
2	758	254
3	4147	251

Stop Event

1×	node limit

Counts

138 → 133

Calls

Call 1

Inputs
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/2 (.f64 y (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (.f64 -1/2 (.f64 y (sqrt.f64 z)))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (.f64 -1/2 (.f64 y (sqrt.f64 z))))))
(.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 -1 (.f64 (pow.f64 y 2) (.f64 (+.f64 (.f64 -1/4 z) (.f64 1/4 z)) x))) (+.f64 (.f64 y (.f64 z x)) (.f64 (-.f64 1 z) x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 (+.f64 (.f64 -1/4 z) (.f64 1/4 z)) x))) (+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 (-.f64 1 z) x) (.f64 -1 (.f64 (pow.f64 y 3) (.f64 x (+.f64 (.f64 1/8 z) (*.f64 -1/8 z))))))))
x
z
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 z) (.f64 1/4 z))) (+.f64 (.f64 -1 (*.f64 y z)) z))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/8 z) (.f64 -1/8 z))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 z) (.f64 1/4 z))) (+.f64 (.f64 -1 (.f64 y z)) z)))

Outputs
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/2 (.f64 y (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (.f64 -1/2 (.f64 (sqrt.f64 z) y)))
(fma.f64 (*.f64 -1/2 y) (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fma.f64 -1/2 y 1))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (.f64 -1/2 (.f64 y (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (sqrt.f64 z) (.f64 y y)) (.f64 -1/2 (.f64 (sqrt.f64 z) y))))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/2 y) (.f64 -1/8 (.f64 y y)))))
(fma.f64 (sqrt.f64 z) (.f64 y (+.f64 (.f64 y -1/8) -1/2)) (sqrt.f64 z))
(fma.f64 (sqrt.f64 z) (.f64 y (+.f64 -1/2 (.f64 y -1/8))) (sqrt.f64 z))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (.f64 -1/2 (.f64 y (sqrt.f64 z))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 z) (pow.f64 y 3)) (+.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (sqrt.f64 z) (.f64 y y)) (.f64 -1/2 (*.f64 (sqrt.f64 z) y)))))
(+.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/2 y) (.f64 -1/8 (.f64 y y)))) (fma.f64 -1/16 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (.f64 y (+.f64 (.f64 y -1/8) -1/2)) (*.f64 (sqrt.f64 z) (fma.f64 -1/16 (pow.f64 y 3) 1)))
(.f64 (sqrt.f64 z) (+.f64 (.f64 y (+.f64 -1/2 (*.f64 y -1/8))) (fma.f64 -1/16 (pow.f64 y 3) 1)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(*.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 x (fma.f64 z y (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 (+.f64 (.f64 -1/4 z) (.f64 1/4 z)) x))) (+.f64 (.f64 y (.f64 z x)) (.f64 (-.f64 1 z) x)))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 (+.f64 (.f64 -1/4 z) (.f64 1/4 z)) x))) (+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 (-.f64 1 z) x) (.f64 -1 (.f64 (pow.f64 y 3) (.f64 x (+.f64 (.f64 1/8 z) (*.f64 -1/8 z))))))))
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(*.f64 x (fma.f64 z y (-.f64 1 z)))
x
z
(+.f64 (.f64 -1 (.f64 y z)) z)
(fma.f64 -1 (*.f64 z y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 z) (.f64 1/4 z))) (+.f64 (.f64 -1 (*.f64 y z)) z))
(fma.f64 -1 (*.f64 z y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/8 z) (.f64 -1/8 z))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 z) (.f64 1/4 z))) (+.f64 (.f64 -1 (.f64 y z)) z)))
(fma.f64 -1 (*.f64 z y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))

eval293.0ms (2.1%)

Compiler: Compiled 9121 to 5236 computations (42.6% saved)

prune187.0ms (1.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	550	14	564
Fresh	5	1	6
Picked	1	0	1
Done	4	1	5
Total	560	16	576

Error

Counts

576 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	21.2b	(fma.f64 z (neg.f64 x) x)
	36.4b	x
	45.0b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
▶	18.5b	(+.f64 x (.f64 (.f64 z y) x))
	18.5b	(.f64 x (+.f64 (.f64 y z) 1))
▶	47.3b	(*.f64 z (neg.f64 x))
	5.3b	(fma.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)) (fma.f64 (neg.f64 x) (.f64 (-.f64 1 y) z) (.f64 (-.f64 1 y) (.f64 z x))))
	44.3b	(.f64 z (.f64 y x))
▶	2.8b	(-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))
▶	21.2b	(*.f64 (-.f64 1 z) x)
	29.5b	(.f64 z (.f64 (-.f64 y 1) x))
	30.8b	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))
✓	44.7b	(.f64 y (.f64 z x))
	45.0b	(.f64 x (.f64 y z))
	32.2b	(.f64 x (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 y) z) 1/4) 2) 2)))
▶	39.3b	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 y (neg.f64 z))) 2)))

Compiler

Compiled 362 to 250 computations (30.9% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))
✓	3.3b	(.f64 (-.f64 1 y) (.f64 z x))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite154.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`prod-diff_binary64`
525×	`log-prod_binary64`
334×	`fma-def_binary64`
268×	`pow2_binary64`
185×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	197	23
2	2775	23

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary64`
468×	`fma-neg_binary64`
147×	`cancel-sign-sub-inv_binary64`
101×	`unsub-neg_binary64`
95×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	887
1	67	788
2	190	724
3	532	724
4	1131	724
5	1937	724
6	2655	724
7	2743	724
8	2744	724
9	2744	724

Stop Event

1×

saturated

Counts

308 → 253

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

140×	`fma-def_binary64`
84×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`associate-r_binary64`
19×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	85
1	14	76
2	33	76
3	51	76
4	72	76
5	146	76
6	283	76
7	392	76
8	475	76
9	539	76

Stop Event

1×

saturated

Counts

29 → 22

Calls

Call 1

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 z y) x))
✓	5.4b	(.f64 (.f64 z y) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
795×	`add-log-exp_binary64`
794×	`log1p-expm1-u_binary64`
794×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	15
2	2167	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-def_binary64`
124×	`fma-neg_binary64`
60×	`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	443	522
5	671	522
6	807	522
7	853	522

Stop Event

1×

saturated

Counts

124 → 59

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)
✓	1.7b	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 y (neg.f64 z))) 2)))
✓	8.6b	(sqrt.f64 (*.f64 y (neg.f64 z)))

Compiler

Compiled 46 to 19 computations (58.7% saved)

series33.0ms (0.2%)

Counts

4 → 16

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 y (neg.f64 z))) 2)))
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)
2.0ms	x	@	0	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 y (neg.f64 z))) 2)))
2.0ms	y	@	0	(sqrt.f64 (*.f64 y (neg.f64 z)))
2.0ms	z	@	inf	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 y (neg.f64 z))) 2)))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
863×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	252	27
2	2852	27

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def_binary64`
498×	`fma-neg_binary64`
337×	`cube-prod_binary64`
332×	`distribute-rgt-neg-in_binary64`
279×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	220
1	29	160
2	83	100
3	248	100
4	913	100
5	2190	100
6	3938	100
7	4835	100
8	5438	100
9	6767	100

Stop Event

1×

unsound

Counts

124 → 112

Calls

Call 1

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

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

eval143.0ms (1%)

Compiler: Compiled 8906 to 4342 computations (51.2% saved)

prune97.0ms (0.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	441	5	446
Fresh	5	5	10
Picked	0	1	1
Done	0	5	5
Total	446	16	462

Error

Counts

462 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.0b	(.f64 x (.f64 z y))
	34.0b	(fma.f64 (.f64 (neg.f64 (-.f64 1 y)) (sqrt.f64 (.f64 z x))) (sqrt.f64 (*.f64 z x)) x)
	45.0b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
✓	18.5b	(+.f64 x (.f64 (.f64 z y) x))
✓	47.3b	(*.f64 z (neg.f64 x))
▶	2.9b	(fma.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)) (fma.f64 (neg.f64 (-.f64 1 y)) (.f64 z x) (.f64 (-.f64 1 y) (.f64 z x))))
	44.3b	(.f64 z (.f64 y x))
✓	2.8b	(-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))
	18.5b	(.f64 (+.f64 (.f64 y z) 1) x)
	36.4b	x
✓	21.2b	(*.f64 (-.f64 1 z) x)
▶	29.5b	(.f64 z (.f64 (-.f64 y 1) x))
▶	30.8b	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))
✓	44.7b	(.f64 y (.f64 z x))
▶	28.2b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
✓	39.3b	(.f64 x (-.f64 1 (pow.f64 (sqrt.f64 (.f64 y (neg.f64 z))) 2)))

Compiler

Compiled 323 to 212 computations (34.4% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 y) z)
✓	2.7b	(fma.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)) (fma.f64 (neg.f64 (-.f64 1 y)) (.f64 z x) (.f64 (-.f64 1 y) (.f64 z x))))
	3.3b	(.f64 (-.f64 1 y) (.f64 z x))
✓	29.3b	(fma.f64 (neg.f64 (-.f64 1 y)) (.f64 z x) (.f64 (-.f64 1 y) (*.f64 z x)))

Compiler

Compiled 75 to 41 computations (45.3% saved)

series19.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
332×	`pow2_binary64`
330×	`fma-def_binary64`
263×	`pow-unpow_binary64`
233×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	277	45
2	3763	43

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-def_binary64`
539×	`associate--r-_binary64`
433×	`associate--l-_binary64`
330×	`unsub-neg_binary64`
278×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	719
1	245	429
2	1046	408
3	5294	408

Stop Event

1×	node limit

Counts

137 → 91

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(.f64 x (.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite101.0ms (0.7%)

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 expm1.f64 (log1p.f64 (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 z y))))))))

simplify15.0ms (0.1%)

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 → 12

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 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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)
✓	4.3b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series38.0ms (0.3%)

Counts

2 → 24

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	z	@	0	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	x	@	0	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	x	@	-inf	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	z	@	inf	(.f64 z (.f64 (-.f64 y 1) x))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
758×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
742×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	165	17
2	2085	17

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
244×	`fma-neg_binary64`
85×	`cancel-sign-sub-inv_binary64`
61×	`distribute-rgt-in_binary64`
58×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	184
1	30	184
2	66	184
3	92	184
4	147	184
5	264	184
6	552	184
7	1092	184
8	1599	184
9	1745	184
10	1747	184

Stop Event

1×

saturated

Counts

56 → 43

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
✓	5.5b	(.f64 (-.f64 1 (.f64 z z)) x)

Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
383×	`prod-diff_binary64`
335×	`pow-prod-down_binary64`
261×	`pow2_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	17
2	2912	17

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-neg_binary64`
433×	`associate-/l*_binary64`
366×	`associate-l_binary64`
332×	`cancel-sign-sub-inv_binary64`
330×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	431
1	43	389
2	96	389
3	194	389
4	590	389
5	2095	389
6	5085	389
7	7996	389

Stop Event

1×	node limit

Counts

140 → 103

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 y z) 3)
✓	1.4b	(+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))
✓	2.4b	(.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x)
✓	13.3b	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))

Compiler

Compiled 79 to 39 computations (50.6% saved)

series64.0ms (0.5%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
41.0ms	y	@	-inf	(pow.f64 (*.f64 y z) 3)
4.0ms	x	@	0	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))
3.0ms	y	@	inf	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))
1.0ms	y	@	0	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))

rewrite148.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`log-prod_binary64`
414×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
224×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	344	60
2	4801	60

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x))) (cbrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (/.f64 1 (/.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (.f64 x (/.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) (/.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)) (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) 2) (.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) (/.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (/.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) x))) (/.f64 (hypot.f64 1 (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (/.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) (.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) (/.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 1) (/.f64 x (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) 1) (/.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2))) (/.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) (cbrt.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2))) (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (cbrt.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2))) (cbrt.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2))) (/.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) (cbrt.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))) (/.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))) (/.f64 x (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))) (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) 2) (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) (+.f64 1 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 2) (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) (-.f64 1 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 2))) (-.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (/.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) (+.f64 (neg.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) 3) (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 y z) 3)) (-.f64 (log1p.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 y z) 3)) (-.f64 (log1p.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) (log.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (pow.f64 (.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 y z) 3) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (pow.f64 (.f64 y z) 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (.f64 y z) 3)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (.f64 y z) 3)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (.f64 y z) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (.f64 y z) 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (.f64 y z) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 9)) x) (+.f64 1 (-.f64 (pow.f64 (.f64 y z) 6) (pow.f64 (.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 6)) x) (-.f64 1 (pow.f64 (.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1 (pow.f64 (.f64 y z) 9))) (+.f64 1 (-.f64 (pow.f64 (.f64 y z) 6) (pow.f64 (.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 y z) 6))) (-.f64 1 (pow.f64 (.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 (pow.f64 (.f64 y z) 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (pow.f64 (.f64 y z) 3)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 (.f64 y z) 3)) (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 y z) 4) (.f64 (.f64 y z) (fma.f64 y z -1))) (/.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 y z) (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y z) (+.f64 1 (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y z) (+.f64 (.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) (pow.f64 (cbrt.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2) (cbrt.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (.f64 y z) (sqrt.f64 (.f64 y z))) (hypot.f64 (.f64 y z) (sqrt.f64 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 6)) (/.f64 1 (+.f64 (pow.f64 (.f64 y z) 4) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 y z) 4) (pow.f64 (.f64 y z) 2)) (/.f64 1 (.f64 (.f64 y z) (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y z) 1) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y z) 4) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 3))) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (.f64 y z) (fma.f64 y z -1)) (-.f64 (pow.f64 (.f64 y z) 4) (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 6)) (+.f64 (pow.f64 (.f64 y z) 4) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 6)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 y z) 4) (pow.f64 (.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y z) 4) (pow.f64 (.f64 y z) 2)) (.f64 (.f64 y z) (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 6))) (neg.f64 (+.f64 (pow.f64 (.f64 y z) 4) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) 4) (pow.f64 (.f64 y z) 2))) (neg.f64 (.f64 (.f64 y z) (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 4)) (-.f64 (.f64 y z) (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (.f64 y z) (sqrt.f64 (.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (exp.f64 (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y z))) (+.f64 1 (expm1.f64 (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 y z) 2))) (pow.f64 (exp.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (.f64 y z) 2)) (+.f64 1 (expm1.f64 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 y z) 2))) (+.f64 1 (expm1.f64 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y z) (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (.f64 y z) 2) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y z) (.f64 y z) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 y z) 4)) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2))) 2)) (cbrt.f64 (+.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z))) (hypot.f64 (sqrt.f64 (.f64 y z)) (hypot.f64 1 (.f64 y z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y y) (.f64 z z) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 2) (fma.f64 y z (pow.f64 (.f64 y z) 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 y z (pow.f64 (.f64 y z) 2)) 2)) (/.f64 1 (-.f64 1 (fma.f64 y z (pow.f64 (.f64 y z) 2)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 3))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y z) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 z (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 y (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y z) (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y z) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y z) 2) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 (cbrt.f64 (.f64 y z)) (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 y z) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (.f64 y z)) (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 3) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y y) (.f64 (.f64 z z) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y z) 3/2) (pow.f64 (.f64 y z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 y z)) 3) (pow.f64 (sqrt.f64 (.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y z) (cbrt.f64 (pow.f64 (.f64 y z) 4))) (pow.f64 (cbrt.f64 (.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y z) (.f64 y y)) (.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 y z) 2) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 y z) 2) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (cbrt.f64 (.f64 y z)) 2)) (cbrt.f64 (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 y z) 2) (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y z) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (pow.f64 (.f64 y z) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (.f64 y z) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y z) 3))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (.f64 y z) 3/2)) (hypot.f64 1 (pow.f64 (.f64 y z) 3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (.f64 y z) 9)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 y z) 6) (pow.f64 (.f64 y z) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 y z) 6)) (/.f64 1 (-.f64 1 (pow.f64 (.f64 y z) 3))) -1)))))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

921×	`times-frac_binary64`
362×	`associate-l_binary64`
346×	`associate-r_binary64`
279×	`cancel-sign-sub-inv_binary64`
257×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1976
1	339	1832
2	1564	1650
3	5663	1650

Stop Event

1×	node limit

Counts

289 → 201

Calls

Call 1

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

Outputs
x
(+.f64 (.f64 -1 (.f64 y (*.f64 z x))) x)
(fma.f64 -1 (.f64 y (.f64 x z)) x)
(-.f64 x (.f64 x (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y (.f64 z x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)))) x))
(fma.f64 -1 (.f64 y (.f64 x z)) x)
(-.f64 x (.f64 x (.f64 y z)))
(+.f64 (.f64 (-.f64 (.f64 (pow.f64 z 3) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)) z)) (.f64 -1 (.f64 (pow.f64 z 3) x)))) (pow.f64 y 3)) (+.f64 (.f64 -1 (.f64 y (.f64 z x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (*.f64 (pow.f64 z 2) x)))) x)))
(fma.f64 (-.f64 (.f64 x (pow.f64 z 3)) (.f64 -1 (+.f64 (.f64 z (.f64 0 (.f64 x (.f64 z z)))) (.f64 x (pow.f64 z 3))))) (pow.f64 y 3) (fma.f64 -1 (.f64 y (.f64 x z)) (fma.f64 -1 (.f64 (.f64 y y) (.f64 0 (.f64 x (.f64 z z)))) x)))
(fma.f64 (fma.f64 x (pow.f64 z 3) (.f64 1 (fma.f64 x (pow.f64 z 3) (.f64 z 0)))) (pow.f64 y 3) (+.f64 x (-.f64 (.f64 z (.f64 z 0)) (.f64 x (.f64 y z)))))
(-.f64 (fma.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (+.f64 x x)) x) (.f64 x (*.f64 y z)))
(.f64 y (.f64 z x))
(.f64 y (.f64 x z))
(.f64 x (.f64 y z))
(+.f64 (.f64 -1 x) (.f64 y (*.f64 z x)))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 x z)) (/.f64 x z)) y)) (+.f64 (.f64 -1 x) (.f64 y (*.f64 z x))))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(-.f64 (+.f64 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 x z)) (/.f64 x z)) y)) (+.f64 (.f64 -1 x) (.f64 y (.f64 z x))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 x z)) (/.f64 x z)) (.f64 (pow.f64 y 2) z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (/.f64 (/.f64 x (.f64 y y)) (.f64 z z)) (-.f64 (fma.f64 -1 (/.f64 (.f64 0 (/.f64 x z)) y) (fma.f64 -1 x (.f64 y (.f64 x z)))) (.f64 -1 (+.f64 (/.f64 (.f64 0 (/.f64 x z)) (.f64 z (.f64 y y))) (/.f64 (/.f64 x (.f64 y y)) (*.f64 z z))))))
(+.f64 (+.f64 (.f64 x (.f64 y z)) (-.f64 (/.f64 0 y) x)) (-.f64 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (-.f64 (/.f64 (/.f64 0 z) (.f64 y y)) (/.f64 x (.f64 y (.f64 y (*.f64 z z)))))))
(+.f64 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (-.f64 (fma.f64 x (.f64 y z) (/.f64 x (.f64 y (.f64 y (*.f64 z z))))) x))
(.f64 y (.f64 z x))
(.f64 y (.f64 x z))
(.f64 x (.f64 y z))
(+.f64 (.f64 -1 x) (.f64 y (*.f64 z x)))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(+.f64 (/.f64 x (.f64 y z)) (+.f64 (.f64 -1 x) (+.f64 (.f64 y (.f64 z x)) (.f64 -1 (/.f64 x (.f64 y z))))))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(+.f64 (.f64 2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (/.f64 x (.f64 y z)) (+.f64 (.f64 -1 x) (+.f64 (.f64 y (.f64 z x)) (.f64 -1 (/.f64 x (.f64 y z)))))))
(fma.f64 2 (/.f64 (/.f64 x (.f64 y y)) (.f64 z z)) (+.f64 (/.f64 x (.f64 y z)) (fma.f64 -1 x (fma.f64 y (.f64 x z) (/.f64 (neg.f64 x) (*.f64 y z))))))
(fma.f64 2 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (+.f64 (-.f64 (.f64 x (*.f64 y z)) (/.f64 (/.f64 x z) y)) (-.f64 (/.f64 (/.f64 x z) y) x)))
(fma.f64 2 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y (.f64 x z) (neg.f64 x)))
x
(+.f64 (.f64 -1 (.f64 y (*.f64 z x))) x)
(fma.f64 -1 (.f64 y (.f64 x z)) x)
(-.f64 x (.f64 x (.f64 y z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (.f64 (pow.f64 y 2) x))))) (+.f64 (.f64 -1 (.f64 y (.f64 z x))) x))
(fma.f64 -1 (.f64 y (.f64 x z)) x)
(-.f64 x (.f64 x (.f64 y z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (.f64 (pow.f64 y 2) x))))) (+.f64 (.f64 -1 (.f64 y (.f64 z x))) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) x)) (.f64 -1 (.f64 y (+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (*.f64 (pow.f64 y 2) x))))))) (pow.f64 z 3)) x)))
(fma.f64 (-.f64 (.f64 x (pow.f64 z 3)) (.f64 -1 (+.f64 (.f64 z (.f64 0 (.f64 x (.f64 z z)))) (.f64 x (pow.f64 z 3))))) (pow.f64 y 3) (fma.f64 -1 (.f64 y (.f64 x z)) (fma.f64 -1 (.f64 (.f64 y y) (.f64 0 (.f64 x (.f64 z z)))) x)))
(fma.f64 (fma.f64 x (pow.f64 z 3) (.f64 1 (fma.f64 x (pow.f64 z 3) (.f64 z 0)))) (pow.f64 y 3) (+.f64 x (-.f64 (.f64 z (.f64 z 0)) (.f64 x (.f64 y z)))))
(-.f64 (fma.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (+.f64 x x)) x) (.f64 x (*.f64 y z)))
(.f64 y (.f64 z x))
(.f64 y (.f64 x z))
(.f64 x (.f64 y z))
(+.f64 (.f64 -1 x) (.f64 y (*.f64 z x)))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y))) z)) (+.f64 (.f64 -1 x) (.f64 y (*.f64 z x))))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(-.f64 (+.f64 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y))) z)) (+.f64 (.f64 -1 x) (.f64 y (.f64 z x))))) (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y))) (*.f64 y (pow.f64 z 2))))))
(+.f64 (/.f64 (/.f64 x (.f64 y y)) (.f64 z z)) (-.f64 (fma.f64 -1 (/.f64 (.f64 0 (/.f64 x z)) y) (fma.f64 -1 x (.f64 y (.f64 x z)))) (.f64 -1 (+.f64 (/.f64 (.f64 0 (/.f64 x z)) (.f64 z (.f64 y y))) (/.f64 (/.f64 x (.f64 y y)) (*.f64 z z))))))
(+.f64 (+.f64 (.f64 x (.f64 y z)) (-.f64 (/.f64 0 y) x)) (-.f64 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (-.f64 (/.f64 (/.f64 0 z) (.f64 y y)) (/.f64 x (.f64 y (.f64 y (*.f64 z z)))))))
(+.f64 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (-.f64 (fma.f64 x (.f64 y z) (/.f64 x (.f64 y (.f64 y (*.f64 z z))))) x))
(.f64 y (.f64 z x))
(.f64 y (.f64 x z))
(.f64 x (.f64 y z))
(+.f64 (.f64 -1 x) (.f64 y (*.f64 z x)))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(+.f64 (/.f64 x (.f64 y z)) (+.f64 (.f64 -1 x) (+.f64 (.f64 y (.f64 z x)) (.f64 -1 (/.f64 x (.f64 y z))))))
(fma.f64 -1 x (.f64 y (.f64 x z)))
(-.f64 (.f64 x (.f64 y z)) x)
(fma.f64 y (*.f64 x z) (neg.f64 x))
(+.f64 (.f64 2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (/.f64 x (.f64 y z)) (+.f64 (.f64 -1 x) (+.f64 (.f64 y (.f64 z x)) (.f64 -1 (/.f64 x (.f64 y z)))))))
(fma.f64 2 (/.f64 (/.f64 x (.f64 y y)) (.f64 z z)) (+.f64 (/.f64 x (.f64 y z)) (fma.f64 -1 x (fma.f64 y (.f64 x z) (/.f64 (neg.f64 x) (*.f64 y z))))))
(fma.f64 2 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (+.f64 (-.f64 (.f64 x (*.f64 y z)) (/.f64 (/.f64 x z) y)) (-.f64 (/.f64 (/.f64 x z) y) x)))
(fma.f64 2 (/.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y (.f64 x z) (neg.f64 x)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x) (+.f64 (.f64 y z) (+.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (fma.f64 y z (+.f64 (.f64 (.f64 y y) (.f64 z z)) 1)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1) (fma.f64 y z (fma.f64 (.f64 y y) (*.f64 z z) 1))) x)
(/.f64 (fma.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3) x) (+.f64 1 (.f64 (fma.f64 y z 1) (*.f64 y z))))
x
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))
(.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))
(.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
x
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))
(.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))
(.f64 (.f64 x (pow.f64 z 3)) (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3))) x)
(fma.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3)) x)
(*.f64 x (fma.f64 (pow.f64 z 3) (pow.f64 y 3) 1))
(fma.f64 (*.f64 x (pow.f64 z 3)) (pow.f64 y 3) x)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(+.f64 (.f64 y z) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 y z (.f64 (.f64 y y) (*.f64 z z)))
(fma.f64 y z (.f64 y (.f64 y (*.f64 z z))))
(.f64 (fma.f64 y z 1) (.f64 y z))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 y 3))

eval483.0ms (3.4%)

Compiler: Compiled 12878 to 7281 computations (43.5% saved)

prune121.0ms (0.8%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	555	4	559
Fresh	0	5	5
Picked	1	0	1
Done	3	7	10
Total	559	16	575

Error

Counts

575 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.0b	(.f64 x (.f64 z y))
	34.0b	(fma.f64 (.f64 (neg.f64 (-.f64 1 y)) (sqrt.f64 (.f64 z x))) (sqrt.f64 (*.f64 z x)) x)
	45.0b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
✓	18.5b	(+.f64 x (.f64 (.f64 z y) x))
	54.4b	(/.f64 (.f64 x (.f64 z (neg.f64 z))) (+.f64 1 z))
✓	47.3b	(*.f64 z (neg.f64 x))
	44.3b	(.f64 z (.f64 y x))
✓	2.8b	(-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))
	18.5b	(.f64 (+.f64 (.f64 y z) 1) x)
	36.4b	x
✓	21.2b	(*.f64 (-.f64 1 z) x)
✓	29.5b	(.f64 z (.f64 (-.f64 y 1) x))
	47.3b	(.f64 z (cbrt.f64 (pow.f64 (.f64 (+.f64 y -1) x) 3)))
✓	44.7b	(.f64 y (.f64 z x))
	32.3b	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (.f64 y (.f64 y (*.f64 z z)))))
	23.4b	(fma.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)) (fma.f64 (neg.f64 (-.f64 1 y)) (.f64 z x) (.f64 z (.f64 y (neg.f64 x)))))

Compiler

Compiled 188 to 126 computations (33% saved)

regimes415.0ms (2.9%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

9 calls:

103.0ms	z
65.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
48.0ms	x
45.0ms	y
34.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Results

Error	Segments	Branch
0.1b	3	`x`
2.8b	1	`y`
0.1b	3	`z`
1.1b	2	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
2.8b	1	`(-.f64 1 y)`

Compiler

Compiled 444 to 258 computations (41.9% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.0302574921525415e+21	7.70309142779294e+25
32.0ms	-6.02869912875749e+48	-1.117916656333359e+48

Compiler

Compiled 64 to 44 computations (31.3% saved)

regimes320.0ms (2.2%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

9 calls:

83.0ms	x
52.0ms	y
39.0ms	(*.f64 (-.f64 1 y) z)
36.0ms	z
34.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Results

Error	Segments	Branch
0.1b	3	`x`
2.8b	1	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
2.8b	1	`(-.f64 1 y)`

Compiler

Compiled 236 to 134 computations (43.2% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.0302574921525415e+21	7.70309142779294e+25
13.0ms	-6.02869912875749e+48	-1.117916656333359e+48

Compiler

Compiled 68 to 50 computations (26.5% saved)

regimes251.0ms (1.8%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

9 calls:

61.0ms	z
47.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
33.0ms	x
32.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
20.0ms	(*.f64 (-.f64 1 y) z)

Results

Error	Segments	Branch
0.1b	3	`x`
2.8b	1	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
2.8b	1	`(-.f64 1 y)`

Compiler

Compiled 183 to 108 computations (41% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.0302574921525415e+21	7.70309142779294e+25
19.0ms	-0.0003592185682565709	-3.0171543577954225e-7

Compiler

Compiled 68 to 51 computations (25% saved)

regimes136.0ms (1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	(-.f64 1 y)
27.0ms	z
25.0ms	x
9.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
2.8b	1	`y`
0.1b	3	`z`
2.8b	1	`(-.f64 1 y)`

Compiler

Compiled 116 to 60 computations (48.3% saved)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.375642864478318e-23	4.0702221869577964e-20
16.0ms	-3.0171543577954225e-7	-4.7073098900684664e-14

Compiler

Compiled 66 to 46 computations (30.3% saved)

regimes55.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	z
9.0ms	y
9.0ms	x
7.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
2.8b	1	`x`
2.8b	1	`y`
0.1b	3	`z`
2.8b	1	`(-.f64 1 y)`

Compiler

Compiled 107 to 55 computations (48.6% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.3017795830433852e-57	1.5996438240411119e-56
18.0ms	-3.0171543577954225e-7	-4.7073098900684664e-14

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes182.0ms (1.3%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	x
61.0ms	z
27.0ms	y

Results

Error	Segments	Branch
10.7b	7	`x`
3.5b	3	`y`
1.1b	3	`z`

Compiler

Compiled 92 to 46 computations (50% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.4660897852061947	13216288.109055143
17.0ms	-551931659191856.06	-0.24992223283667758

Compiler

Compiled 62 to 44 computations (29% saved)

regimes315.0ms (2.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

160.0ms	y
117.0ms	x
35.0ms	z

Results

Error	Segments	Branch
13.4b	7	`x`
3.5b	3	`y`
10.2b	3	`z`

Compiler

Compiled 77 to 37 computations (51.9% saved)

bsearch56.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.28591349727266757	1386885.3446465991
33.0ms	-104174.89782619808	-650.6567587641179

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes100.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
31.0ms	z
20.0ms	y

Results

Error	Segments	Branch
13.4b	7	`x`
3.5b	3	`y`
10.2b	3	`z`

Compiler

Compiled 63 to 32 computations (49.2% saved)

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.28591349727266757	1386885.3446465991
32.0ms	-104174.89782619808	-650.6567587641179

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes180.0ms (1.3%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	x
57.0ms	y
34.0ms	z

Results

Error	Segments	Branch
17.3b	7	`x`
10.2b	5	`y`
18.4b	4	`z`

Compiler

Compiled 56 to 29 computations (48.2% saved)

bsearch393.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
112.0ms	1.883489397214713e+105	1.2230440382554825e+106
32.0ms	-1886200314205661.5	-241906161300961.78
85.0ms	-3.3256676530503583e+111	-2.3354786060472385e+111
164.0ms	-4.836645284456485e+155	-6.641452097273074e+151

Compiler

Compiled 324 to 235 computations (27.5% saved)

regimes193.0ms (1.4%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	x
58.0ms	y
47.0ms	z

Results

Error	Segments	Branch
17.3b	7	`x`
10.3b	5	`y`
18.4b	4	`z`

Compiler

Compiled 46 to 26 computations (43.5% saved)

bsearch663.0ms (4.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
275.0ms	1.883489397214713e+105	1.2230440382554825e+106
31.0ms	-1886200314205661.5	-241906161300961.78
221.0ms	-1.4874328643955515e+108	-3.1242711461421134e+104
135.0ms	-4.836645284456485e+155	-6.641452097273074e+151

Compiler

Compiled 414 to 300 computations (27.5% saved)

regimes204.0ms (1.4%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

97.0ms	y
57.0ms	x
46.0ms	z

Results

Error	Segments	Branch
29.4b	5	`x`
21.1b	11	`y`
19.1b	5	`z`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch397.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
285.0ms	0.4660897852061947	13216288.109055143
35.0ms	2.9926808351893587e-51	1.7578685713510832e-50
33.0ms	1.0496899812816544e-64	5.6290484808757855e-64
43.0ms	-3.847471682216432e-35	-1.8408296979291007e-37

Compiler

Compiled 135 to 104 computations (23% saved)

regimes211.0ms (1.5%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

3 calls:

102.0ms	y
57.0ms	x
51.0ms	z

Results

Error	Segments	Branch
31.1b	7	`x`
22.1b	11	`y`
18.8b	6	`z`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch527.0ms (3.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
242.0ms	0.4660897852061947	13216288.109055143
30.0ms	2.9926808351893587e-51	1.7578685713510832e-50
31.0ms	1.0496899812816544e-64	5.6290484808757855e-64
31.0ms	-3.847471682216432e-35	-1.8408296979291007e-37
193.0ms	-1.3182228687682326e+61	-1.4289526032435443e+55

Compiler

Compiled 288 to 212 computations (26.4% saved)

regimes128.0ms (0.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

105.0ms	y
12.0ms	z
10.0ms	x

Results

Error	Segments	Branch
33.8b	3	`x`
32.2b	7	`y`
22.1b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch717.0ms (5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
232.0ms	0.4660897852061947	13216288.109055143
485.0ms	-551931659191856.06	-0.24992223283667758

Compiler

Compiled 265 to 204 computations (23% saved)

regimes49.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

42.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
36.4b	1	`x`
36.4b	1	`y`
36.4b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

120×	`distribute-rgt-neg-in_binary64`
86×	`cancel-sign-sub-inv_binary64`
82×	`distribute-lft-neg-out_binary64`
75×	`distribute-lft-neg-in_binary64`
75×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	602
1	150	602
2	182	600
3	209	600
4	243	600
5	300	600
6	362	600
7	434	600
8	544	600
9	686	600
10	799	600
11	886	600
12	941	600
13	953	600

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 10000000000000000905969664) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 10000000000000000905969664) (+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x)) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -5902958103587057/590295810358705651712) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 10000000000000000905969664) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -7922816251426434048/79228162514264337593543950336) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 34028236692093848/340282366920938463463374607431768211456) (+.f64 x (.f64 (.f64 z y) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -7922816251426434048/79228162514264337593543950336) (-.f64 x (.f64 (-.f64 1 y) (.f64 z x))) (if (<=.f64 z 8133785000134037/3533694129556768659166595001485837031654967793751237916243212402585239552) (+.f64 x (.f64 (.f64 z y) x)) (-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))))
(if (<=.f64 z -1) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 1) (+.f64 x (.f64 (.f64 z y) x)) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 y -1789711116910649/17179869184) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 5274173111408152576/18446744073709551616) (.f64 (-.f64 1 z) x) (+.f64 x (.f64 (*.f64 z y) x))))
(if (<=.f64 y -1789711116910649/17179869184) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 5274173111408152576/18446744073709551616) (.f64 (-.f64 1 z) x) (.f64 (+.f64 (*.f64 y z) 1) x)))
(if (<=.f64 y -480000000000000041551873247986395329191083168706581627392413477505264294952537387417580822165682751270060913965591684326154484154909641926272043403962220544) (.f64 z (.f64 y x)) (if (<=.f64 y -2400000000000000056566482034008613999798878708136516471511790094243876004318788158235942467821878824629553856512) (.f64 (-.f64 1 z) x) (if (<=.f64 y -3772400628411323/2) (.f64 y (.f64 z x)) (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (.f64 (-.f64 1 z) x) (.f64 x (.f64 z y))))))
(if (<=.f64 y -480000000000000041551873247986395329191083168706581627392413477505264294952537387417580822165682751270060913965591684326154484154909641926272043403962220544) (.f64 z (.f64 y x)) (if (<=.f64 y -320000000000000000613016027435093995589105640724861443568897124671801383745276401907595566434617703530496) (.f64 (-.f64 1 z) x) (if (<=.f64 y -3772400628411323/2) (.f64 z (.f64 y x)) (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (.f64 (-.f64 1 z) x) (.f64 x (.f64 z y))))))
(if (<=.f64 z -3598775144411903/93536104789177786765035829293842113257979682750464) (.f64 z (.f64 y x)) (if (<=.f64 z 6223144754385003/59285549689505892056868344324448208820874232148807968788202283012051522375647232) x (if (<=.f64 z 80682515708508944/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (.f64 z y)) (if (<=.f64 z 8669969714643488768/18446744073709551616) x (*.f64 z (neg.f64 x))))))
(if (<=.f64 z -14499999999999999263674317801483986664867383473623531520) (.f64 z (neg.f64 x)) (if (<=.f64 z -3598775144411903/93536104789177786765035829293842113257979682750464) (.f64 x (.f64 z y)) (if (<=.f64 z 6223144754385003/59285549689505892056868344324448208820874232148807968788202283012051522375647232) x (if (<=.f64 z 80682515708508944/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (.f64 z y)) (if (<=.f64 z 8669969714643488768/18446744073709551616) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -550000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z 8669969714643488768/18446744073709551616) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 10000000000000000905969664) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (+.f64 y -1) x)) (if (<=.f64 z 10000000000000000905969664) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 (+.f64 y -1) x))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 10000000000000000905969664) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 10000000000000000905969664) (+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x)) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (+.f64 y -1) x)) (if (<=.f64 z 10000000000000000905969664) (+.f64 x (.f64 x (.f64 (neg.f64 z) (-.f64 1 y)))) (.f64 z (.f64 (+.f64 y -1) x))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 (+.f64 y -1) x)) (if (<=.f64 z 10000000000000000905969664) (+.f64 x (.f64 x (.f64 z (neg.f64 (-.f64 1 y))))) (.f64 z (.f64 (+.f64 y -1) x))))
(if (<=.f64 z -4999999999999999732451384737740896598436207394816) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 10000000000000000905969664) (+.f64 x (.f64 x (.f64 z (+.f64 y -1)))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -5902958103587057/590295810358705651712) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 10000000000000000905969664) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -5902958103587057/590295810358705651712) (+.f64 x (.f64 z (.f64 (+.f64 y -1) x))) (if (<=.f64 z 10000000000000000905969664) (.f64 x (-.f64 1 (.f64 z (-.f64 1 y)))) (.f64 z (.f64 (+.f64 y -1) x))))
(if (<=.f64 z -5902958103587057/590295810358705651712) (+.f64 x (.f64 z (.f64 x (+.f64 y -1)))) (if (<=.f64 z 10000000000000000905969664) (.f64 x (+.f64 1 (.f64 z (+.f64 y -1)))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -5902958103587057/590295810358705651712) (-.f64 x (.f64 z (.f64 x (-.f64 1 y)))) (if (<=.f64 z 10000000000000000905969664) (.f64 x (+.f64 1 (.f64 z (+.f64 y -1)))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -7922816251426434048/79228162514264337593543950336) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 34028236692093848/340282366920938463463374607431768211456) (+.f64 x (.f64 (.f64 z y) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -7737125245533627/77371252455336267181195264) (+.f64 x (.f64 z (.f64 (+.f64 y -1) x))) (if (<=.f64 z 4253529586511731/42535295865117307932921825928971026432) (+.f64 x (.f64 x (.f64 z y))) (+.f64 x (.f64 z (.f64 (+.f64 y -1) x)))))
(if (<=.f64 z -7737125245533627/77371252455336267181195264) (+.f64 x (.f64 z (.f64 x (+.f64 y -1)))) (if (<=.f64 z 4253529586511731/42535295865117307932921825928971026432) (+.f64 x (.f64 x (.f64 z y))) (+.f64 x (.f64 z (.f64 x (+.f64 y -1))))))
(if (<=.f64 z -7737125245533627/77371252455336267181195264) (-.f64 x (.f64 z (.f64 x (-.f64 1 y)))) (if (<=.f64 z 4253529586511731/42535295865117307932921825928971026432) (+.f64 x (.f64 x (.f64 z y))) (-.f64 x (.f64 z (.f64 x (-.f64 1 y))))))
(if (<=.f64 z -7922816251426434048/79228162514264337593543950336) (-.f64 x (.f64 (-.f64 1 y) (.f64 z x))) (if (<=.f64 z 8133785000134037/3533694129556768659166595001485837031654967793751237916243212402585239552) (+.f64 x (.f64 (.f64 z y) x)) (-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))))
(if (<=.f64 z -7737125245533627/77371252455336267181195264) (-.f64 x (.f64 (-.f64 1 y) (.f64 z x))) (if (<=.f64 z 8133785000134037/3533694129556768659166595001485837031654967793751237916243212402585239552) (+.f64 x (.f64 x (.f64 z y))) (-.f64 x (.f64 (-.f64 1 y) (.f64 z x)))))
(if (<=.f64 z -7737125245533627/77371252455336267181195264) (+.f64 x (.f64 (.f64 z x) (+.f64 y -1))) (if (<=.f64 z 8133785000134037/3533694129556768659166595001485837031654967793751237916243212402585239552) (+.f64 x (.f64 x (.f64 z y))) (+.f64 x (.f64 (.f64 z x) (+.f64 y -1)))))
(if (<=.f64 z -1) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 1) (+.f64 x (.f64 (.f64 z y) x)) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -1) (.f64 z (.f64 (+.f64 y -1) x)) (if (<=.f64 z 1) (+.f64 x (.f64 x (.f64 z y))) (.f64 z (.f64 (+.f64 y -1) x))))
(if (<=.f64 z -1) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 1) (+.f64 x (.f64 x (.f64 z y))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 y -1789711116910649/17179869184) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 5274173111408152576/18446744073709551616) (.f64 (-.f64 1 z) x) (+.f64 x (.f64 (*.f64 z y) x))))
(if (<=.f64 y -1789711116910649/17179869184) (.f64 x (+.f64 1 (.f64 z y))) (if (<=.f64 y 1287639919777381/4503599627370496) (.f64 x (-.f64 1 z)) (+.f64 x (.f64 x (*.f64 z y)))))
(if (<=.f64 y -1789711116910649/17179869184) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 5274173111408152576/18446744073709551616) (.f64 (-.f64 1 z) x) (.f64 (+.f64 (*.f64 y z) 1) x)))
(if (<=.f64 y -1789711116910649/17179869184) (.f64 x (+.f64 1 (.f64 z y))) (if (<=.f64 y 1287639919777381/4503599627370496) (.f64 x (-.f64 1 z)) (.f64 x (+.f64 1 (*.f64 z y)))))
(if (<=.f64 y -480000000000000041551873247986395329191083168706581627392413477505264294952537387417580822165682751270060913965591684326154484154909641926272043403962220544) (.f64 z (.f64 y x)) (if (<=.f64 y -2400000000000000056566482034008613999798878708136516471511790094243876004318788158235942467821878824629553856512) (.f64 (-.f64 1 z) x) (if (<=.f64 y -3772400628411323/2) (.f64 y (.f64 z x)) (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (.f64 (-.f64 1 z) x) (.f64 x (.f64 z y))))))
(if (<=.f64 y -480000000000000041551873247986395329191083168706581627392413477505264294952537387417580822165682751270060913965591684326154484154909641926272043403962220544) (.f64 z (.f64 y x)) (if (<=.f64 y -2400000000000000056566482034008613999798878708136516471511790094243876004318788158235942467821878824629553856512) (.f64 x (-.f64 1 z)) (if (<=.f64 y -3772400628411323/2) (.f64 y (.f64 z x)) (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (.f64 x (-.f64 1 z)) (.f64 x (.f64 z y))))))
(if (<=.f64 y -480000000000000041551873247986395329191083168706581627392413477505264294952537387417580822165682751270060913965591684326154484154909641926272043403962220544) (.f64 z (.f64 y x)) (if (<=.f64 y -320000000000000000613016027435093995589105640724861443568897124671801383745276401907595566434617703530496) (.f64 (-.f64 1 z) x) (if (<=.f64 y -3772400628411323/2) (.f64 z (.f64 y x)) (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (.f64 (-.f64 1 z) x) (.f64 x (.f64 z y))))))
(if (<=.f64 y -480000000000000041551873247986395329191083168706581627392413477505264294952537387417580822165682751270060913965591684326154484154909641926272043403962220544) (.f64 z (.f64 y x)) (if (<=.f64 y -320000000000000000613016027435093995589105640724861443568897124671801383745276401907595566434617703530496) (.f64 x (-.f64 1 z)) (if (<=.f64 y -3772400628411323/2) (.f64 z (.f64 y x)) (if (<=.f64 y 12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (.f64 x (-.f64 1 z)) (.f64 x (.f64 z y))))))
(if (<=.f64 z -3598775144411903/93536104789177786765035829293842113257979682750464) (.f64 z (.f64 y x)) (if (<=.f64 z 6223144754385003/59285549689505892056868344324448208820874232148807968788202283012051522375647232) x (if (<=.f64 z 80682515708508944/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (.f64 z y)) (if (<=.f64 z 8669969714643488768/18446744073709551616) x (*.f64 z (neg.f64 x))))))
(if (<=.f64 z -3598775144411903/93536104789177786765035829293842113257979682750464) (.f64 z (.f64 y x)) (if (<=.f64 z 6223144754385003/59285549689505892056868344324448208820874232148807968788202283012051522375647232) x (if (<=.f64 z 5042657231781809/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 x (.f64 z y)) (if (<=.f64 z 2116691824864133/4503599627370496) x (neg.f64 (*.f64 z x))))))
(if (<=.f64 z -14499999999999999263674317801483986664867383473623531520) (.f64 z (neg.f64 x)) (if (<=.f64 z -3598775144411903/93536104789177786765035829293842113257979682750464) (.f64 x (.f64 z y)) (if (<=.f64 z 6223144754385003/59285549689505892056868344324448208820874232148807968788202283012051522375647232) x (if (<=.f64 z 80682515708508944/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 x (.f64 z y)) (if (<=.f64 z 8669969714643488768/18446744073709551616) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -14499999999999999263674317801483986664867383473623531520) (neg.f64 (.f64 z x)) (if (<=.f64 z -3598775144411903/93536104789177786765035829293842113257979682750464) (.f64 x (.f64 z y)) (if (<=.f64 z 6223144754385003/59285549689505892056868344324448208820874232148807968788202283012051522375647232) x (if (<=.f64 z 5042657231781809/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 x (.f64 z y)) (if (<=.f64 z 2116691824864133/4503599627370496) x (neg.f64 (.f64 z x)))))))
(if (<=.f64 z -550000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z 8669969714643488768/18446744073709551616) x (.f64 z (neg.f64 x))))
(if (<=.f64 z -550000000000000) (neg.f64 (.f64 z x)) (if (<=.f64 z 2116691824864133/4503599627370496) x (neg.f64 (.f64 z x))))
x

Compiler

Compiled 457 to 275 computations (39.8% saved)

soundness158.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
203×	`distribute-rgt-in_binary64`
160×	`distribute-lft-in_binary64`
141×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	161	11
4	493	11
5	1149	11
6	1895	11
7	2598	11
8	2708	11
9	2708	11

Stop Event

1×

saturated

Compiler

Compiled 193 to 130 computations (32.6% saved)

end243.0ms (1.7%)

Compiler: Compiled 418 to 208 computations (50.2% saved)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	14	498
1	34	378
2	75	378
3	160	378
4	330	378
5	501	378
6	684	378
7	787	378
8	919	378

Iter	Nodes	Cost
0	108	602
1	150	602
2	182	600
3	209	600
4	243	600
5	300	600
6	362	600
7	434	600
8	544	600
9	686	600
10	799	600
11	886	600
12	941	600
13	953	600

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	14	498
1	34	378
2	75	378
3	160	378
4	330	378
5	501	378
6	684	378
7	787	378
8	919	378

Iter	Nodes	Cost
0	108	602
1	150	602
2	182	600
3	209	600
4	243	600
5	300	600
6	362	600
7	434	600
8	544	600
9	686	600
10	799	600
11	886	600
12	941	600
13	953	600

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	14	498
1	34	378
2	75	378
3	160	378
4	330	378
5	501	378
6	684	378
7	787	378
8	919	378

Iter	Nodes	Cost
0	108	602
1	150	602
2	182	600
3	209	600
4	243	600
5	300	600
6	362	600
7	434	600
8	544	600
9	686	600
10	799	600
11	886	600
12	941	600
13	953	600