Details

analyze223.0ms (2.7%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	59.3%	15.7%	7
25%	51.5%	23.5%	8
25%	42.9%	32.1%	9
28.1%	26.9%	45%	10
31.6%	19.7%	48.7%	11
33.4%	10.4%	56.2%	12

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample2.4s (28.8%)

Results

2.0s	8256×	body	256	valid
297.0ms	1071×	body	256	invalid

preprocess49.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

511×	`unsub-neg_binary64`
500×	`sub-neg_binary64`
421×	`fma-neg_binary64`
351×	`associate--l+_binary64`
339×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	350	74
3	1237	74
4	3107	66
5	5489	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 b)) (*.f64 (*.f64 a a) (+.f64 3 b))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 (hypot.f64 a b) 4)) -1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 b)) (.f64 (*.f64 a a) (+.f64 3 b))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (-.f64 1 b) (.f64 a (*.f64 a (+.f64 b 3))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (.f64 b (.f64 b (-.f64 1 b)))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (-.f64 (*.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 b (-.f64 b (.f64 b b)) (.f64 (*.f64 a a) (+.f64 b 3))) -1))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
565×	`cancel-sign-sub-inv_binary64`
400×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
342×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	696	37
4	2292	33
5	4251	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3))))) 1))
(+.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

eval1.0ms (0%)

Compiler: Compiled 54 to 32 computations (40.7% 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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Status

Error

Program

▶

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a 3)))) -1))

▶

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series13.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	a	@	inf	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(.f64 (.f64 b b) (+.f64 3 a))

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`fma-neg_binary64`
345×	`expm1-udef_binary64`
344×	`log1p-udef_binary64`
212×	`add-sqr-sqrt_binary64`
208×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	420	63
2	6115	63

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(.f64 (.f64 b b) (+.f64 3 a))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
(.f64 (.f64 a a) (-.f64 1 a))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b (.f64 b 3)) 1) (.f64 (.f64 b (.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (.f64 b 3)) 3) (pow.f64 (.f64 b (.f64 b a)) 3)) (+.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (-.f64 (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a))) (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27 (pow.f64 a 3)) (.f64 b b)) (+.f64 9 (.f64 a (-.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 a a)) (.f64 b b)) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (+.f64 27 (pow.f64 a 3))) (+.f64 9 (.f64 a (-.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 b b) (+.f64 3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 3 a) 2) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (+.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 3 (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 b b) (.f64 b (.f64 b a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b a) (.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (hypot.f64 b a)) (hypot.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (pow.f64 (hypot.f64 b a) 2)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (hypot.f64 b a) 2)) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (neg.f64 a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 a a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 a 3)) (.f64 a a)) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 a a)) (.f64 a a)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (pow.f64 a 3))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (.f64 a a))) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a (-.f64 1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (-.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (*.f64 a (-.f64 1 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))) (/.f64 (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (.f64 64 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 3))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (-.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (-.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (.f64 64 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (.f64 64 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 3))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (-.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (.f64 64 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 3))) (+.f64 (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (.f64 64 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 3)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (-.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))) (-.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 4 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) 2) (cbrt.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a))))) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 3 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-+l+_binary64`
686×	`associate-r_binary64`
489×	`unswap-sqr_binary64`
477×	`associate-+r+_binary64`
439×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1400
1	180	1360
2	502	1290
3	1952	1277
4	5522	1277
5	8000	1277

Stop Event

1×	node limit

Counts

194 → 155

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(fma.f64 (*.f64 b b) 12 (pow.f64 b 4))
(fma.f64 b (*.f64 b 12) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))))
(fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4)))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4))))
(fma.f64 b (.f64 b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 b 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 a a (fma.f64 2 (.f64 b b) 4)) (.f64 a -4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 (.f64 b b) a) 4 (pow.f64 a 4))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 b b) (.f64 a 4) (pow.f64 a 4))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 a a (fma.f64 2 (.f64 b b) 4)) (.f64 a -4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 (.f64 b b) a) 4 (pow.f64 a 4))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 b b) (.f64 a 4) (pow.f64 a 4))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (*.f64 a a) (-.f64 1 a))))
(fma.f64 4 (.f64 (.f64 a a) (-.f64 1 a)) (pow.f64 a 4))
(fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a)))))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (fma.f64 a 4 12)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (fma.f64 a 4 12)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
	0.0b	(pow.f64 (hypot.f64 a b) 4)
	0.0b	(hypot.f64 a b)
	0.0b	(fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1)
✓	0.0b	(-.f64 a (*.f64 a a))
✓	0.0b	(*.f64 b (+.f64 a 3))
✓	0.1b	(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
✓	0.2b	(.f64 b (.f64 b (+.f64 a 3)))

series8.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(*.f64 b (+.f64 a 3))
1.0ms	b	@	0	(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
0.0ms	b	@	0	(*.f64 b (+.f64 a 3))
0.0ms	b	@	-inf	(*.f64 b (+.f64 a 3))
0.0ms	a	@	0	(*.f64 b (+.f64 a 3))

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
488×	`fma-def_binary64`
428×	`pow-prod-down_binary64`
302×	`pow2_binary64`
263×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	230	44
2	3298	44

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

Inputs
(.f64 b (.f64 b (+.f64 a 3)))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(*.f64 b (+.f64 a 3))
(-.f64 a (*.f64 a a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a 3) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b a) b) (.f64 (.f64 b 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 b b)) (.f64 3 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 b b)) (.f64 a (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) a) (.f64 (.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 3) (.f64 (.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 b b)) (+.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 b b)) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 b b)) (+.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 b b)) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 a 3) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (+.f64 27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (fma.f64 a a -9)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a 3) (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (+.f64 a 3)) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 b b)) (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a 3) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 a 3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 a 3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 a 3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 a 3) (.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (.f64 b a) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 b b) (.f64 3 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 b b) (.f64 a (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) a (.f64 (.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 3 (.f64 (.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b a) b (.f64 (*.f64 b 3) b))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (-.f64 a (.f64 a a))) (.f64 (+.f64 a 3) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (-.f64 a (.f64 a a))) 1) (.f64 (+.f64 a 3) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) 2) (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) (sqrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a (-.f64 a (.f64 a a))) 3) (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 6)) (+.f64 (pow.f64 (.f64 a (-.f64 a (.f64 a a))) 2) (-.f64 (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 4) (.f64 (.f64 a (-.f64 a (.f64 a a))) (.f64 (+.f64 a 3) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a (-.f64 a (.f64 a a))) 2) (pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 4)) (-.f64 (.f64 a (-.f64 a (.f64 a a))) (.f64 (+.f64 a 3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (.f64 b b)) (+.f64 a 3)) (exp.f64 (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a 3) (.f64 b b)))) (exp.f64 (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a (-.f64 a (.f64 a a)))) (+.f64 1 (expm1.f64 (.f64 (+.f64 a 3) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b a) 1) (.f64 (.f64 b 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (+.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (+.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (+.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b a) 3) (pow.f64 (.f64 b 3) 3)) (+.f64 (pow.f64 (.f64 b a) 2) (-.f64 (pow.f64 (.f64 b 3) 2) (.f64 (.f64 b a) (.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b a) 2) (pow.f64 (.f64 b 3) 2)) (-.f64 (.f64 b a) (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27 (pow.f64 a 3)) b) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a -9) b) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (+.f64 27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (fma.f64 a a -9)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (+.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (+.f64 a 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (+.f64 a 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (+.f64 a 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b (+.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (+.f64 a 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 b 3)) (exp.f64 (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (+.f64 a 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b (+.f64 a 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 3 (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 b (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b a) 1 (.f64 (.f64 b 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (cbrt.f64 (.f64 b a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b 3)) 2) (cbrt.f64 (.f64 b 3)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b 3)) (sqrt.f64 (.f64 b 3)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (cbrt.f64 (.f64 a a))) (cbrt.f64 a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 a)) (sqrt.f64 a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 b)) (sqrt.f64 b) (.f64 b a))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (.f64 a a)) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (.f64 a a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (neg.f64 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (-.f64 1 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (-.f64 1 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (-.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 a (.f64 a a))) (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (cbrt.f64 (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 a (.f64 a a))) (sqrt.f64 (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1 a 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3)) (-.f64 (pow.f64 a 3) (pow.f64 a 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a a) (-.f64 (.f64 a a) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (fma.f64 a a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6))) (neg.f64 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 a a) (pow.f64 a 4))) (neg.f64 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 a (neg.f64 a)) 3)) (fma.f64 a a (-.f64 (pow.f64 (.f64 a (neg.f64 a)) 2) (.f64 a (.f64 a (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 a (neg.f64 a)) 2)) (-.f64 a (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 a (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (.f64 a a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 a (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 a (.f64 a a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3)) (-.f64 (pow.f64 a 3) (pow.f64 a 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a a a) (-.f64 (.f64 a a) (pow.f64 a 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (-.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 a (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (.f64 a (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (pow.f64 (exp.f64 a) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a (neg.f64 a))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a (neg.f64 a))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) (neg.f64 a)) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 a (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (neg.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (-.f64 1 a) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (-.f64 1 a) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (-.f64 1 a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 1 (neg.f64 a)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 1 (neg.f64 a)) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 1 (neg.f64 a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a (.f64 a a)) 1 (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a (.f64 a a)) 1 (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a (.f64 a a)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 a (.f64 a a)) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 a (.f64 a a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (neg.f64 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (neg.f64 (cbrt.f64 (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 a (.f64 a a))) (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 a (.f64 a a))) (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 a (.f64 a a))) (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (cbrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (cbrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 a (.f64 a a)) 2)) (cbrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (.f64 a a)) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (.f64 a a)) (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 a (.f64 a a))) (sqrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 a (.f64 a a))) (sqrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 a (.f64 a a))) (sqrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 a) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a (neg.f64 a))) 2) (cbrt.f64 (.f64 a (neg.f64 a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (cbrt.f64 (.f64 a a))) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (cbrt.f64 (.f64 a a))) (.f64 (.f64 a (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (neg.f64 a))) (sqrt.f64 (.f64 a (neg.f64 a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 a a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (.f64 a a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) 1) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (cbrt.f64 (.f64 a a))) (cbrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (sqrt.f64 a)) (sqrt.f64 a) a)))))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

671×	`unswap-sqr_binary64`
497×	`distribute-rgt-neg-in_binary64`
463×	`difference-of-squares_binary64`
432×	`distribute-lft-neg-in_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	893
1	91	831
2	199	827
3	511	827
4	1761	827
5	4283	827

Stop Event

1×	node limit

Counts

303 → 249

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 3 b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
a
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (*.f64 a a))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a a))
(fma.f64 a a (.f64 b (.f64 b (+.f64 3 a))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(fma.f64 a a (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(.f64 a (.f64 a (-.f64 1 a)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 a a) (fma.f64 a (.f64 b b) (neg.f64 (pow.f64 a 3))))
(-.f64 (.f64 a (+.f64 (.f64 b b) a)) (pow.f64 a 3))
(-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3))
(.f64 a (-.f64 (fma.f64 b b a) (.f64 a a)))
(fma.f64 a (fma.f64 b b a) (neg.f64 (pow.f64 a 3)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(fma.f64 a a (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(.f64 a (.f64 a (-.f64 1 a)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 a a) (fma.f64 a (.f64 b b) (neg.f64 (pow.f64 a 3))))
(-.f64 (.f64 a (+.f64 (.f64 b b) a)) (pow.f64 a 3))
(-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3))
(.f64 a (-.f64 (fma.f64 b b a) (.f64 a a)))
(fma.f64 a (fma.f64 b b a) (neg.f64 (pow.f64 a 3)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(fma.f64 a a (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(.f64 a (.f64 a (-.f64 1 a)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (*.f64 b b) (+.f64 3 a) (fma.f64 a a (neg.f64 (pow.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 a a (.f64 b (.f64 b (+.f64 3 a)))) (pow.f64 a 3))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a))))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a (*.f64 a (-.f64 1 a))))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 3 b)
(*.f64 b 3)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
a
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(*.f64 a (-.f64 1 a))

eval205.0ms (2.5%)

Compiler: Compiled 12614 to 6818 computations (45.9% saved)

prune62.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	396	8	404
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	398	8	406

Error

Counts

406 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	9.3b	(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4)))) 1)
▶	1.5b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	9.4b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
▶	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
	8.6b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	12.9b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	12.9b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)

Compiler

Compiled 368 to 252 computations (31.5% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.0b	(+.f64 (.f64 a a) (.f64 (*.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (.f64 a a) (.f64 (*.f64 b b) (+.f64 3 a)))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	inf	(+.f64 (.f64 a a) (.f64 (*.f64 b b) (+.f64 3 a)))
0.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
418×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	355	41
2	5197	41

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
(+.f64 (.f64 a a) (.f64 (*.f64 b b) (+.f64 3 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))))) (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 3))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 3))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 3))) (+.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 3)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))) (exp.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 a b) 2) (pow.f64 (hypot.f64 a b) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) 2))) (cbrt.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 2)) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3))))) (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3))))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))

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

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1091×	`distribute-lft-in_binary64`
877×	`distribute-rgt-in_binary64`
673×	`distribute-rgt-out_binary64`
483×	`associate-+l+_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	915
1	152	891
2	403	819
3	1508	817
4	3832	817
5	5692	817
6	5784	817
7	5902	817
8	6061	817
9	6273	817
10	6552	817

Stop Event

1×	node limit

Counts

135 → 121

Calls

Call 1

Inputs
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4)))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4)))))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (*.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (*.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))

Outputs
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b 12))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4)))
(fma.f64 4 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 2 (*.f64 a a) (fma.f64 4 a 12))) (pow.f64 b 4)))
(fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (*.f64 a a) (fma.f64 4 a 12)) (pow.f64 b 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))
(fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (.f64 4 a) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(.f64 a (+.f64 (.f64 b (.f64 b 4)) (.f64 a (fma.f64 a a (fma.f64 b (*.f64 b 2) 4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4)))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))
(fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (.f64 4 a) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(.f64 a (+.f64 (.f64 b (.f64 b 4)) (.f64 a (fma.f64 a a (fma.f64 b (*.f64 b 2) 4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4)))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (*.f64 a a) (fma.f64 4 a 12)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 4 a))) (pow.f64 b 4))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 4 a 12)) (pow.f64 b 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 4 a))) (pow.f64 b 4))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 4 a 12)) (pow.f64 b 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 4 a 12))) (.f64 a (.f64 a (fma.f64 a a 4))))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 a 3))
(.f64 b (.f64 b (+.f64 a 3)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 a (.f64 b b) (.f64 a a))
(.f64 a (+.f64 (.f64 b b) a))
(*.f64 a (fma.f64 b b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 a (.f64 b b) (.f64 a a))
(.f64 a (+.f64 (.f64 b b) a))
(*.f64 a (fma.f64 b b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 a 3))
(.f64 b (.f64 b (+.f64 a 3)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 a 3))
(.f64 b (.f64 b (+.f64 a 3)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
	0.0b	(*.f64 a (+.f64 a -4))
✓	0.0b	(*.f64 a (+.f64 a -4))
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	-inf	(*.f64 a (+.f64 a -4))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	inf	(*.f64 a (+.f64 a -4))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
429×	`fma-def_binary64`
417×	`prod-diff_binary64`
371×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	212	21
2	2939	21

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(*.f64 a (+.f64 a -4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 a 4)) 1) (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 3) (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 3)) (+.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 2) (-.f64 (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2) (*.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 2) (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2)) (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)) (*.f64 a a)) (fma.f64 (*.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 a (+.f64 a -4)) 2)) (*.f64 a a)) (-.f64 4 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (+.f64 64 (pow.f64 (*.f64 a (+.f64 a -4)) 3))) (fma.f64 (*.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (-.f64 16 (pow.f64 (*.f64 a (+.f64 a -4)) 2))) (-.f64 4 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))) (exp.f64 (*.f64 a (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (+.f64 a -4) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -4) (pow.f64 a 3) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (+.f64 a -4)) (*.f64 a a) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) 2) (*.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4))) (*.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4))) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) (+.f64 a -4) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 4)) 1 (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 a -4)) a) 2) (*.f64 (cbrt.f64 (+.f64 a -4)) a) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a 4))) 2) (cbrt.f64 (*.f64 a (*.f64 a 4))) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) (*.f64 a (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a 4))) (sqrt.f64 (*.f64 a (*.f64 a 4))) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 a) a (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (+.f64 a -4)) a) a (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (+.f64 a -4)) a (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 (*.f64 a (+.f64 a -4)))) 2) (cbrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) (hypot.f64 a (sqrt.f64 (*.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (+.f64 a -4)) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (*.f64 a (*.f64 a 4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 a -4) 3)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 (*.f64 a -4) 2) (*.f64 (*.f64 a a) (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 (*.f64 a -4) 2)) (-.f64 (*.f64 a a) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 a 3)) a) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -16) a) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 -64 (pow.f64 a 3))) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 a a -16)) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a a))) (exp.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a -4)) (pow.f64 (exp.f64 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a -4)) (+.f64 1 (expm1.f64 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 a -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 a -4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a -4 (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1 (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1 (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 a (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a -4)) 2) (cbrt.f64 (*.f64 a -4)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 (*.f64 a -4)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 (*.f64 a -4) 1))))))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1158×	`distribute-rgt-out_binary64`
664×	`associate-r_binary64`
466×	`fma-def_binary64`
452×	`associate-+l+_binary64`
442×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	243
1	42	234
2	91	225
3	267	211
4	790	205
5	2724	205
6	2922	205
7	3179	205
8	4024	205
9	5737	205
10	6271	205

Stop Event

1×	node limit

Counts

138 → 129

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(*.f64 -4 a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(*.f64 -4 a)
(*.f64 a -4)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
✓	0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.0ms	a	@	inf	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.0ms	a	@	-inf	(*.f64 (pow.f64 a 3) (+.f64 a -4))

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	1992	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 3) (+.f64 a -4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 3) -4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 4) 1) (*.f64 (*.f64 (pow.f64 a 3) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 a 3) (+.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (*.f64 (pow.f64 a 3) -4) 3)) (+.f64 (*.f64 (pow.f64 a 4) (pow.f64 a 4)) (-.f64 (*.f64 (*.f64 (pow.f64 a 3) -4) (*.f64 (pow.f64 a 3) -4)) (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 a 3) -4) (*.f64 (pow.f64 a 3) -4))) (-.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -64) (pow.f64 a 3)) (fma.f64 a a (-.f64 16 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -16) (pow.f64 a 3)) (-.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) -64)) (fma.f64 a a (-.f64 16 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (fma.f64 a a -16)) (-.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -4) 2) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (+.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -4) 3) (pow.f64 (pow.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 a 3) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) a (*.f64 (pow.f64 a 3) -4))))))

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`sqr-pow_binary64`
592×	`pow-sqr_binary64`
563×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	23	114
2	49	114
3	101	105
4	237	105
5	851	105
6	1955	105
7	2368	105
8	2528	105
9	2710	105
10	2950	105
11	3261	105
12	3647	105
13	4128	105
14	4755	105
15	5559	105
16	5961	105
17	6323	105
18	6613	105
19	6849	105
20	7001	105

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

Inputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))

Outputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	inf	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	-inf	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log-prod_binary64`
432×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	371	50
2	5379	50

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2)) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) (sqrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3))) (/.f64 1 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (neg.f64 (pow.f64 b 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2))) (/.f64 1 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (neg.f64 (pow.f64 b 4))))) (+.f64 (pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))) (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3))) (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (neg.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3))) (+.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2)) (-.f64 (pow.f64 b 8) (*.f64 (*.f64 (pow.f64 b 4) 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2))) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3)))) (neg.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (neg.f64 (pow.f64 b 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2)))) (neg.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2) (neg.f64 (pow.f64 b 8))) (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (neg.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 b 4)) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))) (exp.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 4 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2))) (cbrt.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 8)) (cbrt.f64 (pow.f64 b 4)) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3))))) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3))))) (pow.f64 b 4))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) 1) (*.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))) (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) 3) (pow.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4))) (-.f64 (*.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4))) (*.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4))) (*.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)))) (-.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a (-.f64 1 a))) 3) (*.f64 (pow.f64 (+.f64 a 3) 3) (pow.f64 b 6))) 4) (+.f64 (*.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)) (*.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (-.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)) (*.f64 (pow.f64 b 4) (pow.f64 (+.f64 a 3) 2))) 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (neg.f64 (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (pow.f64 (*.f64 a (*.f64 a (-.f64 1 a))) 3) (*.f64 (pow.f64 (+.f64 a 3) 3) (pow.f64 b 6)))) (+.f64 (*.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)) (*.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (-.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)) (*.f64 (pow.f64 b 4) (pow.f64 (+.f64 a 3) 2)))) (fma.f64 a (*.f64 a (-.f64 1 a)) (neg.f64 (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4))) (exp.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (*.f64 a (-.f64 1 a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a (*.f64 a (-.f64 1 a))) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a (-.f64 1 a))) 4 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)))))))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
546×	`difference-of-squares_binary64`
471×	`associate-l_binary64`
385×	`fma-def_binary64`
354×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	992
1	138	906
2	388	872
3	1380	868
4	2993	868
5	4824	868

Stop Event

1×	node limit

Counts

119 → 100

Calls

Call 1

Inputs
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))

Outputs
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)))
(.f64 (.f64 a a) (*.f64 (-.f64 1 a) 4))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 (.f64 4 (.f64 b b)) (+.f64 a 3) (pow.f64 b 4))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 (.f64 4 (.f64 b b)) (+.f64 a 3) (pow.f64 b 4))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(fma.f64 (*.f64 b b) 12 (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 4 (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 (.f64 4 (.f64 b b)) (+.f64 a 3) (pow.f64 b 4))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 4 (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 a (.f64 b b)) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 a a) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))) (pow.f64 b 4))
(fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)))
(.f64 (.f64 a a) (*.f64 (-.f64 1 a) 4))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 a (*.f64 b b))))
(.f64 a (.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))) 4))
(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)))
(.f64 (.f64 a a) (*.f64 (-.f64 1 a) 4))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 a (*.f64 b b))))
(.f64 a (.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))) 4))
(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 a a (-.f64 (.f64 b (.f64 b (+.f64 a 3))) (pow.f64 a 3))) (pow.f64 b 4))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 (.f64 12 b) b)
(.f64 b (.f64 b 12))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 a (.f64 b b))))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 a (*.f64 b b)))))
(fma.f64 4 (.f64 a a) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a))))
(fma.f64 4 (.f64 a a) (.f64 (*.f64 b b) (fma.f64 4 a 12)))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 4 (*.f64 a a)))
(fma.f64 4 (.f64 a a) (.f64 b (*.f64 b (fma.f64 4 a 12))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)))
(.f64 (.f64 a a) (*.f64 (-.f64 1 a) 4))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 a (*.f64 b b))))
(.f64 a (.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))) 4))
(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)))
(.f64 (.f64 a a) (*.f64 (-.f64 1 a) 4))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 a (*.f64 b b))))
(.f64 a (.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))) 4))
(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)))
(.f64 (.f64 a a) (*.f64 (-.f64 1 a) 4))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 a (.f64 b b))))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 a (.f64 b b))))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))
(.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 b (.f64 b (+.f64 a 3)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 a a (-.f64 (.f64 b (*.f64 b (+.f64 a 3))) (pow.f64 a 3))))

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.0b	(fma.f64 a (.f64 2 a) (.f64 b b))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.1b	(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
✓	0.2b	(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))
1.0ms	b	@	0	(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))
1.0ms	a	@	-inf	(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))
1.0ms	a	@	0	(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))
0.0ms	b	@	inf	(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
752×	`add-log-exp_binary64`
752×	`log1p-expm1-u_binary64`
752×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	180	31
2	2114	31

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(.f64 b (fma.f64 a (.f64 2 a) (*.f64 b b)))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))

Outputs

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

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

simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2389×	`unswap-sqr_binary64`
1224×	`sqr-pow_binary64`
582×	`pow-sqr_binary64`
441×	`cube-prod_binary64`
426×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	687
1	43	651
2	104	651
3	296	651
4	1185	651
5	2492	651
6	2695	651
7	2867	651
8	3088	651
9	3333	651
10	3635	651
11	4002	651
12	4421	651
13	4949	651
14	5577	651
15	5837	651
16	6043	651
17	6211	651
18	6323	651
19	6395	651
20	7121	651

Stop Event

1×	node limit

Counts

79 → 41

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 a 2) b))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))

Outputs
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(+.f64 (pow.f64 b 3) (.f64 2 (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 2 (.f64 (*.f64 a a) b)) (pow.f64 b 3))
(fma.f64 2 (.f64 a (.f64 a b)) (pow.f64 b 3))
(.f64 b (fma.f64 2 (.f64 a a) (*.f64 b b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b))))

eval315.0ms (3.9%)

Compiler: Compiled 16412 to 10175 computations (38% saved)

prune97.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	588	13	601
Fresh	2	1	3
Picked	1	0	1
Done	2	2	4
Total	593	16	609

Error

Counts

609 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	9.4b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
	22.2b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
	2.6b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
✓	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
▶	21.5b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	12.8b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	1.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
✓	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	9.4b	(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
▶	22.1b	(-.f64 (.f64 4 (.f64 a a)) 1)
	10.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
▶	13.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	10.9b	(-.f64 (pow.f64 a 4) 1)
	14.9b	(-.f64 (pow.f64 b 4) 1)
▶	22.2b	(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)

Compiler

Compiled 504 to 348 computations (31% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 b (.f64 b 3))
	0.0b	(.f64 4 (.f64 b (*.f64 b 3)))
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3))))
	0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3))))
✓	0.0b	(.f64 4 (.f64 b (*.f64 b 3)))
✓	0.1b	(.f64 b (.f64 b 3))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(.f64 4 (.f64 b (*.f64 b 3)))
1.0ms	b	@	inf	(.f64 4 (.f64 b (*.f64 b 3)))
0.0ms	b	@	0	(.f64 b (.f64 b 3))
0.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3))))
0.0ms	b	@	inf	(.f64 b (.f64 b 3))

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log-prod_binary64`
488×	`fma-def_binary64`
357×	`pow2_binary64`
249×	`pow-unpow_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	304	33
2	3889	31

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(.f64 b (.f64 b 3))
(.f64 4 (.f64 b (*.f64 b 3)))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) 2)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 4) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 b 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 b 3) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 b 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b 3) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 b b) 12))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 b b) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 b b) 12)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 b b) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 b b) 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b b) 12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 b b) 12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 b b) 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 b b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 b b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 b b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 b b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 b b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) 12)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 2) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (cbrt.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (sqrt.f64 (*.f64 (*.f64 b b) 12))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (sqrt.f64 (*.f64 (*.f64 b b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (*.f64 (*.f64 b b) 12) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 b b) 12) (-.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (pow.f64 (*.f64 (*.f64 b b) 12) 2)) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 b b) 12) (-.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (*.f64 (*.f64 b b) 12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (pow.f64 (*.f64 (*.f64 b b) 12) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (*.f64 (*.f64 b b) 12) 3)) (fma.f64 (*.f64 (*.f64 b b) 12) (-.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (*.f64 (*.f64 b b) 12) 3)) (fma.f64 (*.f64 (pow.f64 b 4) 9) 16 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (pow.f64 (*.f64 (*.f64 b b) 12) 2)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (*.f64 (*.f64 b b) 12) 3))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) 12) (-.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (pow.f64 (*.f64 (*.f64 b b) 12) 2))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 2) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (-.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (sqrt.f64 (*.f64 (*.f64 b b) 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) 12) (-.f64 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (*.f64 (*.f64 b b) 12) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (pow.f64 (*.f64 (*.f64 b b) 12) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 b b) 12))) (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 b b) 12)) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 b b) 12))) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (exp.f64 (*.f64 (*.f64 b b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (+.f64 1 (expm1.f64 (*.f64 (*.f64 b b) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 b b) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 (*.f64 b 3) 4) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 3) (*.f64 b 4) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 3)) 4 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 b (*.f64 b 3)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) 12) 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1 (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 b b) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 9)) (*.f64 (cbrt.f64 (*.f64 b (*.f64 b 3))) 4) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 b b) 12)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) 12) 2)) (cbrt.f64 (*.f64 (*.f64 b b) 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b a) (*.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 3)) (*.f64 (*.f64 b (sqrt.f64 3)) 4) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 b b) 12)) (sqrt.f64 (*.f64 (*.f64 b b) 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 4) (*.f64 b 3) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 3) (hypot.f64 b a) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 b 3)) b (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 b b)) 3 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 (*.f64 (pow.f64 b 4) 9))) (cbrt.f64 (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 b (sqrt.f64 3))) (*.f64 b (sqrt.f64 3)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 4) b) 3 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 4) 3) b (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 4) 1) (*.f64 b 3) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 4) (cbrt.f64 (*.f64 (*.f64 b b) 9))) (cbrt.f64 (*.f64 b 3)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 4) (sqrt.f64 (*.f64 b 3))) (sqrt.f64 (*.f64 b 3)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

617×	`distribute-rgt-in_binary64`
579×	`associate-+l+_binary64`
576×	`distribute-lft-in_binary64`
575×	`associate-+r+_binary64`
441×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	685
1	83	593
2	199	569
3	641	569
4	2117	569
5	3192	569
6	3346	569
7	3570	569
8	3991	569
9	4839	569
10	6493	569
11	7859	569

Stop Event

1×	node limit

Counts

155 → 127

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))

Outputs
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(*.f64 12 (pow.f64 b 2))
(.f64 (.f64 b b) 12)
(.f64 b (.f64 b 12))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(fma.f64 (*.f64 b b) 12 (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b 12))
(*.f64 b (fma.f64 b 12 (pow.f64 b 3)))
(fma.f64 b (*.f64 b 12) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(fma.f64 b (.f64 b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a))))
(.f64 (.f64 a a) (fma.f64 b (.f64 b 2) (.f64 a a)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(fma.f64 b (.f64 b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a))))
(.f64 (.f64 a a) (fma.f64 b (.f64 b 2) (.f64 a a)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))

localize4.0ms (0%)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.1b	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
	0.0b	(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
	0.0b	(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
✓	0.0b	(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
✓	0.0b	(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
✓	0.1b	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
1.0ms	b	@	0	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
1.0ms	a	@	0	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
0.0ms	a	@	inf	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
0.0ms	a	@	-inf	(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
467×	`fma-neg_binary64`
350×	`pow2_binary64`
236×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	285	46
2	4174	46

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs
(.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 2)) (cbrt.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)) (sqrt.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) -1) (/.f64 1 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 1) (fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1)) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 3) -1) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 3) -1) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) (-.f64 1 (*.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) -1) (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) -1)) (neg.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1)) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) 1) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a)) a -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) 2) 16)) (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 2) (cbrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 2) (*.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) 2) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) 2) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) (sqrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) (*.f64 a 4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) (fma.f64 (+.f64 a b) (-.f64 b a) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (fma.f64 (+.f64 a b) (-.f64 b a) a)) 4 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) 1) (fma.f64 (+.f64 a b) (-.f64 b a) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a) 2) 16))) (cbrt.f64 (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) 2)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (fma.f64 (+.f64 a b) (-.f64 b a) a)) (sqrt.f64 a)) (sqrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) 2)) (cbrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a))) (sqrt.f64 (fma.f64 (+.f64 a b) (-.f64 b a) a)) -1)))))

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

677×	`unswap-sqr_binary64`
639×	`fma-def_binary64`
587×	`fma-neg_binary64`
351×	`*-commutative_binary64`
344×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	1188
1	99	1028
2	257	965
3	829	900
4	2773	900
5	6320	900

Stop Event

1×	node limit

Counts

228 → 189

Calls

Call 1

Inputs
(.f64 4 (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(.f64 4 (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(.f64 4 (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(.f64 4 (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(pow.f64 b 2)
(+.f64 a (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(-.f64 a (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 b 2)
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 b 2)
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
-1
(-.f64 (.f64 4 (.f64 a (pow.f64 b 2))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 (*.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2))))) 1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2))))) 1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2))))) 1)
(-.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(.f64 4 (.f64 a (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(.f64 4 (.f64 a (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)

Outputs
(.f64 4 (.f64 a (pow.f64 b 2)))
(.f64 4 (.f64 a (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(.f64 4 (+.f64 (.f64 a a) (.f64 a (.f64 b b))))
(.f64 4 (.f64 a (fma.f64 b b a)))
(.f64 (fma.f64 b b a) (.f64 4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(.f64 4 (.f64 a (-.f64 a (pow.f64 a 2))))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(.f64 4 (.f64 a (pow.f64 b 2)))
(.f64 4 (.f64 a (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 4 a))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(.f64 4 (.f64 a (pow.f64 b 2)))
(.f64 4 (.f64 a (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 4 a))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 a (pow.f64 b 2))
(+.f64 a (*.f64 b b))
(fma.f64 b b a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 a (-.f64 1 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (+.f64 a (pow.f64 b 2)))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 a (pow.f64 a 2))
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 a (-.f64 1 a))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
(-.f64 (+.f64 a (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 a (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 b b a) (*.f64 a a))
(fma.f64 a (-.f64 1 a) (*.f64 b b))
-1
(-.f64 (.f64 4 (.f64 a (pow.f64 b 2))) 1)
(fma.f64 4 (.f64 a (.f64 b b)) -1)
(fma.f64 a (.f64 4 (.f64 b b)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 (*.f64 a (pow.f64 b 2)))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 a a) (.f64 a (.f64 b b)))) -1)
(fma.f64 4 (*.f64 a (fma.f64 b b a)) -1)
(fma.f64 (fma.f64 b b a) (*.f64 4 a) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b)))))
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a (fma.f64 b b a)) (.f64 -4 (pow.f64 a 3)))
(.f64 4 (-.f64 (.f64 a (fma.f64 b b a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (*.f64 b b))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) 1)
(fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) -1)
(fma.f64 4 (*.f64 a (fma.f64 a (neg.f64 a) a)) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(.f64 4 (.f64 a (pow.f64 b 2)))
(.f64 4 (.f64 a (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 4 a))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(.f64 4 (.f64 a (pow.f64 b 2)))
(.f64 4 (.f64 a (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 4 a))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (.f64 4 (.f64 a (pow.f64 b 2)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a (.f64 b b))))) -1)
(+.f64 (+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (*.f64 -4 (pow.f64 a 3))) -1)
(+.f64 (.f64 4 (.f64 a (fma.f64 b b a))) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 4 (-.f64 (*.f64 a (fma.f64 b b a)) (pow.f64 a 3)) -1)
(fma.f64 4 (.f64 a (fma.f64 a (-.f64 1 a) (.f64 b b))) -1)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.1b	(.f64 a (.f64 a b))
✓	0.7b	(.f64 b (.f64 2 (.f64 a (.f64 a b))))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 b (.f64 2 (.f64 a (.f64 a b))))
1.0ms	b	@	0	(.f64 b (.f64 2 (.f64 a (.f64 a b))))
1.0ms	a	@	0	(.f64 a (.f64 a b))
1.0ms	a	@	0	(.f64 b (.f64 2 (.f64 a (.f64 a b))))
1.0ms	a	@	inf	(.f64 b (.f64 2 (.f64 a (.f64 a b))))

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	164	17
2	1987	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 b (.f64 2 (.f64 a (.f64 a b))))
(.f64 a (.f64 a b))

Outputs

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

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

simplify194.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1252×	`unswap-sqr_binary64`
934×	`sqr-pow_binary64`
591×	`cube-prod_binary64`
480×	`fabs-mul_binary64`
367×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	480
1	22	480
2	54	480
3	175	480
4	860	480
5	1523	480
6	1589	480
7	1689	480
8	1809	480
9	1931	480
10	2078	480
11	2242	480
12	2431	480
13	2644	480
14	2874	480
15	3118	480
16	3383	480
17	3662	480
18	3962	480
19	4276	480
20	4346	480
21	6294	480
22	6539	480
23	6761	480
24	6879	480
25	7713	480

Stop Event

1×	node limit

Counts

74 → 30

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)

Outputs
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 (.f64 b a) (.f64 b a)))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 b (.f64 (.f64 a a) (.f64 2 b)))
(.f64 (.f64 b b) (.f64 2 (.f64 a a)))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 b b) (fma.f64 b b 12))
✓	0.3b	(.f64 (.f64 b b) (fma.f64 b b 12))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 (.f64 b b) (fma.f64 b b 12))
1.0ms	b	@	0	(.f64 (.f64 b b) (fma.f64 b b 12))
1.0ms	b	@	-inf	(.f64 (.f64 b b) (fma.f64 b b 12))

rewrite35.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
504×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1415	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (.f64 b b) (fma.f64 b b 12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 4) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 4) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (*.f64 b (fma.f64 b b 12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) (pow.f64 (fma.f64 b b 12) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (fma.f64 b b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))))

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1367×	`sqr-pow_binary64`
697×	`pow-sqr_binary64`
494×	`cube-prod_binary64`
402×	`fabs-mul_binary64`
392×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	19	114
2	41	114
3	97	114
4	271	114
5	922	114
6	1856	114
7	2150	114
8	2335	114
9	2536	114
10	2810	114
11	3170	114
12	3623	114
13	4152	114
14	4784	114
15	5535	114
16	5842	114
17	6066	114
18	6266	114
19	6322	114
20	6344	114
21	7178	114

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))

eval175.0ms (2.1%)

Compiler: Compiled 10733 to 5822 computations (45.8% saved)

prune80.0ms (1%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	448	11	459
Fresh	3	6	9
Picked	0	1	1
Done	3	3	6
Total	454	21	475

Error

Counts

475 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	9.4b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
▶	22.2b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
	39.1b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
	10.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
▶	1.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
	13.8b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
✓	13.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	14.9b	(-.f64 (pow.f64 b 4) 1)
	23.2b	-1
▶	21.5b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
	21.4b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	22.6b	(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
✓	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	23.1b	(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
	9.4b	(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
✓	22.1b	(-.f64 (.f64 4 (.f64 a a)) 1)
✓	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
	21.5b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
	10.9b	(-.f64 (pow.f64 a 4) 1)
▶	22.4b	(-.f64 (.f64 12 (.f64 b b)) 1)

Compiler

Compiled 704 to 478 computations (32.1% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	0.1b	(.f64 b (.f64 b 12))
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))
	0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
✓	0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))
✓	0.1b	(.f64 b (.f64 b 12))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
0.0ms	b	@	0	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
0.0ms	b	@	0	(.f64 b (.f64 b 12))
0.0ms	a	@	inf	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
0.0ms	b	@	inf	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

rewrite116.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`fma-def_binary64`
648×	`log-prod_binary64`
370×	`fma-neg_binary64`
247×	`pow1/3_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	311	44
2	4122	44

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs
(.f64 b (.f64 b 12))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 6) 1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 6) 1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 b) (log.f64 12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log.f64 12)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12)))) (/.f64 (*.f64 (pow.f64 b 4) 144) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (*.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) (*.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144)) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (fma.f64 (pow.f64 b 4) 144 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) 1) (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144)) 1) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 12)))) (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 12) b) b) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 12)))) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (pow.f64 (exp.f64 12) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 12)) 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1 (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (cbrt.f64 (*.f64 b (*.f64 b 12))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 12)) 2) (*.f64 (cbrt.f64 (*.f64 b 12)) b) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b a) (*.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b 12)) (*.f64 (sqrt.f64 (*.f64 b 12)) b) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 3) (hypot.f64 b a) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12)))) (hypot.f64 1 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 (*.f64 b 12)) 2)) (cbrt.f64 (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (*.f64 b 12))) (sqrt.f64 (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 12) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 12) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (*.f64 b (*.f64 b 12)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (*.f64 b 12) -1) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (sqrt.f64 (fma.f64 b (*.f64 b 12) -1))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (sqrt.f64 (fma.f64 b (*.f64 b 12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) -1) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) 1) (-.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) -1) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) -1) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) (-.f64 1 (*.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) -1) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) -1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (pow.f64 (fma.f64 b (*.f64 b 12) -1) 3)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (-.f64 (*.f64 (fma.f64 b (*.f64 b 12) -1) (fma.f64 b (*.f64 b 12) -1)) (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (fma.f64 b (*.f64 b 12) -1) (fma.f64 b (*.f64 b 12) -1))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (sqrt.f64 (fma.f64 b (*.f64 b 12) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1))) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) 1)) (+.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (exp.f64 (fma.f64 b (*.f64 b 12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 b (*.f64 b 12) -1)) (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 b (*.f64 b 12) -1)) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 12) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 12)) 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1 (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1 (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 b (*.f64 b 12) -1) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (*.f64 b 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 12) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (cbrt.f64 (*.f64 b (*.f64 b 12))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (*.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 12)) 2) (*.f64 (cbrt.f64 (*.f64 b 12)) b) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (*.f64 b 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) (*.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b a) (*.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b a) (*.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b 12)) (*.f64 (sqrt.f64 (*.f64 b 12)) b) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (pow.f64 b 4) 144)) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 b (*.f64 b 12)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 3) (hypot.f64 b a) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 3) (hypot.f64 b a) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) (cbrt.f64 (fma.f64 b (*.f64 b 12) -1))) (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 b (*.f64 b 12) -1)) (sqrt.f64 (fma.f64 b (*.f64 b 12) -1)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (sqrt.f64 12) 1) (fma.f64 b (sqrt.f64 12) -1) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 (*.f64 b 12)) 2)) (cbrt.f64 (*.f64 b 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (*.f64 b 12))) (sqrt.f64 (*.f64 b 12)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 12) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 12) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

977×	`distribute-rgt-neg-in_binary64`
857×	`fma-def_binary64`
631×	`fma-neg_binary64`
361×	`associate-l_binary64`
348×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	1166
1	114	982
2	288	930
3	1013	930
4	3155	930
5	6860	930

Stop Event

1×	node limit

Counts

241 → 212

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) 1)
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 (*.f64 b b) a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 b (.f64 b 2) (.f64 a a)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 (*.f64 b b) a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 b (.f64 b 2) (.f64 a a)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (pow.f64 a 4))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4)) -1)
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1)
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 (*.f64 b b) a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 b (.f64 b 2) (.f64 a a)))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 (*.f64 b b) a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 b (.f64 b 2) (.f64 a a)))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (pow.f64 a 4) 1)
(+.f64 (pow.f64 a 4) -1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 a 4)) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) -1)
(+.f64 (fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (pow.f64 a 4)) -1)
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) -1))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) (+.f64 (pow.f64 a 4) -1))
(+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (.f64 a a) 12))) -1))

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 12 (.f64 b b))
	0.0b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	0.0b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	0.3b	(.f64 12 (.f64 b b))

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(.f64 12 (.f64 b b))
0.0ms	b	@	inf	(-.f64 (.f64 12 (.f64 b b)) 1)
0.0ms	b	@	0	(-.f64 (.f64 12 (.f64 b b)) 1)
0.0ms	b	@	inf	(.f64 12 (.f64 b b))
0.0ms	b	@	-inf	(-.f64 (.f64 12 (.f64 b b)) 1)

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`pow1_binary64`
614×	`add-log-exp_binary64`
612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
602×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1763	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 12 (.f64 b b))
(-.f64 (.f64 12 (.f64 b b)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 12 (*.f64 b b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 12 (*.f64 b b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 12 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 12 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 144 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 12 (*.f64 b b))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 (*.f64 b b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 (*.f64 b b) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) 2) (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 12 (*.f64 b b) -1)) (sqrt.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) -1) (/.f64 1 (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1) (/.f64 1 (fma.f64 12 (*.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b (sqrt.f64 12)) 1) (-.f64 (*.f64 b (sqrt.f64 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1)) (+.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 12 (*.f64 b b) 1) (+.f64 (*.f64 144 (pow.f64 b 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) -1) (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) -1) (+.f64 (*.f64 144 (pow.f64 b 4)) (-.f64 1 (*.f64 (*.f64 12 (*.f64 b b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1) (fma.f64 12 (*.f64 b b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1) (-.f64 (*.f64 12 (*.f64 b b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) -1)) (neg.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1)) (neg.f64 (fma.f64 12 (*.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (*.f64 b b) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 (*.f64 b b) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 144 (pow.f64 b 4))) (cbrt.f64 (*.f64 12 (*.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 b) b -1)))))

simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
450×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	55	171
4	121	171
5	337	171
6	1262	171
7	2161	171
8	2324	171
9	2508	171
10	2716	171
11	3009	171
12	3400	171
13	3880	171
14	4441	171
15	5131	171
16	5964	171
17	6354	171
18	6642	171
19	6922	171
20	6994	171
21	7030	171
22	7971	171

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
-1
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(*.f64 12 (pow.f64 b 2))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(*.f64 12 (pow.f64 b 2))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
-1
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
	0.0b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
✓	0.0b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
✓	0.1b	(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
0.0ms	a	@	-inf	(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
0.0ms	a	@	inf	(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
0.0ms	a	@	inf	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
0.0ms	a	@	0	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`pow1_binary64`
919×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	200	27
2	2561	27

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(.f64 (-.f64 1 a) (.f64 4 (*.f64 a a)))
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a 4)) (*.f64 (neg.f64 a) (*.f64 a (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a 4)) (*.f64 (*.f64 a (*.f64 a 4)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 a 3)) (*.f64 a (*.f64 a 4))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 a a)) (*.f64 a (*.f64 a 4))) (+.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (*.f64 a 4)) (-.f64 1 (pow.f64 a 3))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (*.f64 a 4)) (-.f64 1 (*.f64 a a))) (+.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a 2) (sqrt.f64 (-.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 4) (*.f64 a a)) (-.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)) (sqrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3) -1) (/.f64 1 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) -1) (/.f64 1 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 a 2) (sqrt.f64 (-.f64 1 a))) 1) (-.f64 (*.f64 (*.f64 a 2) (sqrt.f64 (-.f64 1 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1)) (+.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1) (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3) -1) (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3) -1) (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) (-.f64 1 (*.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) -1) (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) -1) (-.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) 3) -1)) (neg.f64 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2)) -1)) (neg.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 a) (*.f64 a (*.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 4)) (-.f64 1 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 16 (pow.f64 a 4)) (pow.f64 (-.f64 1 a) 2))) (cbrt.f64 (*.f64 (*.f64 a 4) (*.f64 a (-.f64 1 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 2) (sqrt.f64 (-.f64 1 a))) (*.f64 (*.f64 a 2) (sqrt.f64 (-.f64 1 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 a) 4) (*.f64 a a) -1)))))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
503×	`distribute-rgt-neg-in_binary64`
489×	`fma-def_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	300
1	38	288
2	78	277
3	206	237
4	504	237
5	1880	237
6	5083	237
7	7531	237

Stop Event

1×	node limit

Counts

77 → 63

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
-1
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
-1
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (.f64 b 3)))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))
	0.0b	(+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))
	0.0b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.1b	(.f64 a (.f64 a b))
	0.1b	(.f64 b (.f64 b 3))
	0.7b	(.f64 b (.f64 2 (.f64 a (.f64 a b))))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize3.0ms (0%)

eval203.0ms (2.5%)

Compiler: Compiled 9560 to 6356 computations (33.5% saved)

prune98.0ms (1.2%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	439	3	442
Fresh	2	10	12
Picked	0	1	1
Done	1	7	8
Total	442	21	463

Error

Counts

463 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	9.4b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
✓	22.2b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
	39.1b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
	10.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
✓	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
	21.4b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
	13.8b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 b (.f64 b 12))) 1)
✓	13.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	14.9b	(-.f64 (pow.f64 b 4) 1)
	21.4b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	22.6b	(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
✓	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	23.1b	(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
	9.4b	(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
✓	22.1b	(-.f64 (.f64 4 (.f64 a a)) 1)
✓	1.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
	10.9b	(-.f64 (pow.f64 a 4) 1)
	21.5b	(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
	9.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
	23.2b	-1
✓	22.4b	(-.f64 (.f64 12 (.f64 b b)) 1)

Compiler

Compiled 371 to 253 computations (31.8% saved)

regimes167.0ms (2%)

Counts

37 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Calls

8 calls:

36.0ms	b
33.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
28.0ms	(*.f64 b b)
17.0ms	a
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
0.0b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
0.0b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
0.0b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 807 to 454 computations (43.7% saved)

regimes101.0ms (1.2%)

Counts

36 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Calls

5 calls:

39.0ms	b
16.0ms	a
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(*.f64 b b)
6.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
0.2b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 719 to 402 computations (44.1% saved)

regimes129.0ms (1.6%)

Counts

34 → 2

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)

Outputs

(-.f64 (+.f64 (pow.f64 a 4) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Calls

3 calls:

49.0ms	(*.f64 b b)
45.0ms	b
18.0ms	a

Results

Error	Segments	Branch
1.5b	1	`a`
0.1b	3	`b`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 598 to 335 computations (44% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.671672666945647e-6	3.4039317169023743e-6

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes104.0ms (1.3%)

Counts

32 → 2

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

Calls

4 calls:

42.0ms	b
18.0ms	(*.f64 b b)
17.0ms	(*.f64 b b)
15.0ms	a

Results

Error	Segments	Branch
1.8b	1	`a`
0.1b	3	`b`
0.1b	2	`(*.f64 b b)`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 550 to 313 computations (43.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.671672666945647e-6	3.4039317169023743e-6

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes100.0ms (1.2%)

Counts

30 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b (*.f64 b 3)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b)))) (.f64 4 (.f64 b (*.f64 b 3)))) 1)

Outputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 b (*.f64 b 12))) 1)

(-.f64 (+.f64 0 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 b (*.f64 b 12))) 1)

Calls

4 calls:

38.0ms	b
18.0ms	(*.f64 b b)
15.0ms	a
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.8b	1	`a`
0.2b	3	`b`
0.2b	2	`(*.f64 b b)`
0.2b	2	`(*.f64 b b)`

Compiler

Compiled 504 to 285 computations (43.5% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	4.0008997077918144e-19	4.04236056365002e-19
30.0ms	-0.0018449747198545498	-0.0016345252114744657

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes105.0ms (1.3%)

Counts

24 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)

Outputs
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)

Calls

4 calls:

35.0ms	b
34.0ms	a
14.0ms	(*.f64 b b)
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.4b	3	`b`
1.4b	2	`(*.f64 b b)`
1.4b	2	`(*.f64 b b)`

Compiler

Compiled 391 to 225 computations (42.5% saved)

bsearch61.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	8.85656691015874e-26	3.5419387869662007e-23
32.0ms	-9.957393309110197e-9	-6.914925822582841e-11

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes120.0ms (1.5%)

Counts

23 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)

Outputs

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

4 calls:

57.0ms	a
31.0ms	b
12.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.4b	3	`b`
1.4b	2	`(*.f64 b b)`
1.4b	2	`(*.f64 b b)`

Compiler

Compiled 377 to 215 computations (43% saved)

bsearch69.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	8.85656691015874e-26	3.5419387869662007e-23
29.0ms	-9.957393309110197e-9	-6.914925822582841e-11

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes152.0ms (1.9%)

Counts

22 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)

Outputs

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (pow.f64 b 4) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

4 calls:

91.0ms	b
29.0ms	a
11.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.6b	3	`a`
2.0b	3	`b`
2.2b	2	`(*.f64 b b)`
2.2b	2	`(*.f64 b b)`

Compiler

Compiled 367 to 210 computations (42.8% saved)

bsearch100.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.5363053294742417e-33	3.269952629250456e-27
49.0ms	-9.957393309110197e-9	-6.914925822582841e-11

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes35.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (pow.f64 a 4) 1)

Outputs
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

3 calls:

10.0ms	b
10.0ms	a
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
9.4b	1	`a`
9.4b	1	`b`
9.4b	1	`(*.f64 b b)`

Compiler

Compiled 338 to 188 computations (44.4% saved)

regimes43.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 2 (.f64 a (.f64 a b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)

Outputs
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)

Calls

3 calls:

27.0ms	b
7.0ms	a
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
9.4b	1	`a`
9.4b	1	`b`
9.4b	1	`(*.f64 b b)`

Compiler

Compiled 160 to 93 computations (41.9% saved)

regimes17.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Outputs
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Calls

3 calls:

6.0ms	b
5.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
10.7b	1	`a`
10.7b	1	`b`
10.7b	1	`(*.f64 b b)`

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes30.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (*.f64 4 a)) 1)
(-.f64 (.f64 a (.f64 4 (*.f64 a (neg.f64 a)))) 1)
(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)

Outputs
(-.f64 (.f64 4 (.f64 a a)) 1)

Calls

3 calls:

18.0ms	(*.f64 b b)
5.0ms	b
5.0ms	a

Results

Error	Segments	Branch
22.1b	1	`a`
22.1b	1	`b`
22.1b	1	`(*.f64 b b)`

Compiler

Compiled 58 to 39 computations (32.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.8b remaining (-3.4%)

Threshold costs -0.8b (-3.4%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)

Outputs
(-.f64 (.f64 12 (.f64 b b)) 1)

Calls

3 calls:

3.0ms	b
3.0ms	a
2.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.4b	1	`a`
22.4b	1	`b`
22.4b	1	`(*.f64 b b)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

31×	`+-commutative_binary64`
21×	`*-commutative_binary64`
16×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	649
1	150	649
2	169	649
3	173	649
4	175	649

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 b -34033776479620856/18446744073709551616) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1) (if (<=.f64 b 8349213348524003/20769187434139310514121985316880384) (-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4490625508933593/2923003274661805836407369665432566039311865085952) (-.f64 (pow.f64 b 4) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (+.f64 a 3) (.f64 b b))))) -1))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (+.f64 a 3) (.f64 b b)))))))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1))
(if (<=.f64 (.f64 b b) 1770887431076117/590295810358705651712) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))))
(if (<=.f64 b -34033776479620856/18446744073709551616) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1) (if (<=.f64 b 8349213348524003/20769187434139310514121985316880384) (-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)))
(if (<=.f64 b -4254222059952607/2305843009213693952) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1) (if (<=.f64 b 8349213348524003/20769187434139310514121985316880384) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1)))
(if (<=.f64 b -4254222059952607/2305843009213693952) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))) (if (<=.f64 b 8349213348524003/20769187434139310514121985316880384) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))))))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))))))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (if (<=.f64 a 7715157890515145/87112285931760246646623899502532662132736) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))))))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4490625508933593/2923003274661805836407369665432566039311865085952) (-.f64 (pow.f64 b 4) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (if (<=.f64 a 4490625508933593/2923003274661805836407369665432566039311865085952) (+.f64 (pow.f64 b 4) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1)))
(if (<=.f64 a -6018874933720635/604462909807314587353088) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (if (<=.f64 a 4490625508933593/2923003274661805836407369665432566039311865085952) (+.f64 -1 (pow.f64 b 4)) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))))))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 a 2))))) -1)
(+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 a 2))))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))))
(-.f64 (.f64 4 (.f64 a a)) 1)
(+.f64 (.f64 4 (.f64 a a)) -1)
(+.f64 -1 (.f64 4 (.f64 a a)))
(-.f64 (.f64 12 (.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) 12) -1)
(+.f64 -1 (.f64 (.f64 b b) 12))
-1

end203.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 916 to 567 computations (38.1% saved)