Details

analyze219.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
29.6%	25%	59.3%	0.1%	15.6%	0%	0%	7
32.7%	25%	51.5%	0.1%	23.4%	0%	0%	8
36.8%	25%	42.9%	0.1%	32%	0%	0%	9
51.1%	28.1%	26.9%	0.1%	44.9%	0%	0%	10
61.6%	31.6%	19.7%	0.1%	48.6%	0%	0%	11
76.2%	33.4%	10.4%	0.1%	56.1%	0%	0%	12

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample2.3s (24.4%)

Results

2.1s	8256×	body	256	valid
182.0ms	1051×	body	256	infinite

Bogosity

preprocess66.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	354	74
3	1251	74
4	3113	66
5	5502	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 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))))) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) -1))
(fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) (fma.f64 (hypot.f64 a b) (pow.f64 (hypot.f64 a b) 3) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
(fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (+.f64 (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 (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.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)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
399×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	700	37
4	2287	33
5	4261	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 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3)))) -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))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) (fma.f64 (hypot.f64 a b) (pow.f64 (hypot.f64 a b) 3) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))

eval1.0ms (0%)

Compiler: Compiled 54 to 33 computations (38.9% 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
▶	0.2b	(-.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)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))

Status

Error

Program

▶

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)

▶

0.0b

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series18.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
2.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
1.0ms	a	@	inf	(-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3))
1.0ms	a	@	inf	(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))
1.0ms	a	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))

rewrite118.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`log-prod_binary64`
635×	`fma-def_binary64`
343×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	365	74
2	4863	74

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 b b) (+.f64 a 3)) 1) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))) (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.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 a))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.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 a)))) 1)))) (#(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 (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (+.f64 a 3)) 3) (pow.f64 a 6)) (fma.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (.f64 b b) (+.f64 a 3)) (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (.f64 b b) (+.f64 a 3)) (neg.f64 (pow.f64 a 4))) (fma.f64 (.f64 b b) (+.f64 a 3) (neg.f64 (.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 (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 (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) 2)))) (#(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 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 (pow.f64 (exp.f64 a) a) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 b 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 -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 b a) 8) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) (/.f64 (pow.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1) 2) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sqrt.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)) (pow.f64 (hypot.f64 b a) 2)) (hypot.f64 (sqrt.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 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((#(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 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))))))) (#(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)) (fma.f64 (.f64 b a) (.f64 b a) (-.f64 (.f64 (.f64 b 3) (.f64 b 3)) (.f64 (.f64 b a) (.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b a) (.f64 b a)) (.f64 (.f64 b 3) (.f64 b 3))) (-.f64 (.f64 b a) (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) 27) 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 (pow.f64 a 3) 27)) (-.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)) 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 (+.f64 a 3)) b))))) (#(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 cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a 3) 3) (pow.f64 b 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 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) a) (.f64 b 3))))) (#(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 (sqrt.f64 b) (.f64 (sqrt.f64 b) 3) (.f64 b a))))) (#(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 (.f64 b a) 1 (.f64 (.f64 b 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b 3)) (cbrt.f64 (.f64 b 3))) (cbrt.f64 (.f64 b 3)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b a)) (cbrt.f64 (.f64 b a))) (cbrt.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 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a) (sqrt.f64 b)) (.f64 (sqrt.f64 a) (sqrt.f64 b)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 b) 2)) (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 (pow.f64 (cbrt.f64 b) 2)) (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 fma.f64 (.f64 b (pow.f64 (cbrt.f64 a) 2)) (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))))))

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
544×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
402×	`fma-neg_binary64`
346×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1571
1	387	1543
2	1302	1486
3	4829	1480

Stop Event

1×	node limit

Counts

326 → 287

Calls

Call 1

Inputs
(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))
(*.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)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.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)))) 1)
(-.f64 (+.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))))) 1)
(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 (+.f64 (*.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(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 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(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 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(-.f64 (pow.f64 a 2) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(*.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 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))

Outputs
(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))
(fma.f64 a a (.f64 b (.f64 b (+.f64 a 3))))
(fma.f64 b (.f64 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))
(fma.f64 a a (.f64 b (.f64 b (+.f64 a 3))))
(fma.f64 b (.f64 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))
(fma.f64 a a (.f64 b (.f64 b (+.f64 a 3))))
(fma.f64 b (.f64 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)))
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(fma.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (fma.f64 a 4 12)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 1/2 (pow.f64 a 4) (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)) (fma.f64 -1/2 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))) -1)
(fma.f64 (pow.f64 a 4) 1/2 (+.f64 (fma.f64 (.f64 b b) (fma.f64 (+.f64 a 3) 4 (.f64 a (.f64 a 2))) (+.f64 (.f64 (pow.f64 a 4) 1/2) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 b 4)))) -1))
(+.f64 -1 (fma.f64 b (.f64 b (fma.f64 a (.f64 a 2) (fma.f64 a 4 12))) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (fma.f64 (pow.f64 a 4) 1/2 (pow.f64 b 4))))))
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (fma.f64 a 4 12)) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 (pow.f64 a 4) 1/2 (pow.f64 b 4))))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 1/2 (pow.f64 a 4) (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)) (fma.f64 -1/2 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))) -1)
(fma.f64 (pow.f64 a 4) 1/2 (+.f64 (fma.f64 (.f64 b b) (fma.f64 (+.f64 a 3) 4 (.f64 a (.f64 a 2))) (+.f64 (.f64 (pow.f64 a 4) 1/2) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 b 4)))) -1))
(+.f64 -1 (fma.f64 b (.f64 b (fma.f64 a (.f64 a 2) (fma.f64 a 4 12))) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (fma.f64 (pow.f64 a 4) 1/2 (pow.f64 b 4))))))
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (fma.f64 a 4 12)) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 (pow.f64 a 4) 1/2 (pow.f64 b 4))))))
(-.f64 (pow.f64 a 2) (pow.f64 a 3))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 a 3))
(.f64 b (.f64 b (+.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 a 3))
(.f64 b (.f64 b (+.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2)) (pow.f64 a 3))
(-.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(*.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))
(fma.f64 a a (.f64 b (.f64 b (+.f64 a 3))))
(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a 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 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.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) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(fma.f64 a (.f64 b b) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (.f64 a (+.f64 a (.f64 b b))) (pow.f64 a 3))
(-.f64 (*.f64 a (fma.f64 b b a)) (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 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.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) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(fma.f64 a (.f64 b b) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (.f64 a (+.f64 a (.f64 b b))) (pow.f64 a 3))
(-.f64 (*.f64 a (fma.f64 b b a)) (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 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a)) (pow.f64 a 3))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 a 3))
(*.f64 3 b)
(*.f64 b 3)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 a 3))

localize74.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 138 to 63 computations (54.3% saved)

series19.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	0	(.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 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.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)))))
1.0ms	b	@	inf	(+.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)))))

rewrite126.0ms (1.3%)

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	6136	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)))) (fma.f64 b (.f64 b 3) (neg.f64 (.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 (pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 2))))) (#(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)))))))
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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)) (pow.f64 (cbrt.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))))))

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-+l+_binary64`
701×	`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	179	1360
2	501	1290
3	1961	1277
4	5770	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 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b 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 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b 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 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 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b 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 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 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b 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 (.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
(+.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
(+.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
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(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (.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 a (*.f64 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 2 (.f64 a a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))

eval289.0ms (3%)

Compiler: Compiled 14428 to 8611 computations (40.3% saved)

prune73.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	431	11	442
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	433	11	444

Error

Counts

444 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.7b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	9.0b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.7b	(-.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)
▶	53.6b	(pow.f64 a 4)
	14.3b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.4b	(-.f64 (+.f64 (.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 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	11.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.5b	(-.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))) 3) 1)
▶	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	12.1b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	51.7b	(pow.f64 b 4)

Compiler

Compiled 488 to 342 computations (29.9% saved)

localize110.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2))
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))
✓	0.5b	(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)
✓	9.9b	(cbrt.f64 (pow.f64 (hypot.f64 b a) 2))

Compiler

Compiled 201 to 109 computations (45.8% saved)

series28.0ms (0.3%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2))
3.0ms	b	@	0	(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)
2.0ms	a	@	0	(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2))
2.0ms	b	@	0	(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2))
2.0ms	a	@	inf	(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`pow1_binary64`
627×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	183	30
2	1983	30

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (hypot.f64 b a) 2))
(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))

Outputs

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

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

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

484×	`*-commutative_binary64`
369×	`unswap-sqr_binary64`
262×	`cancel-sign-sub-inv_binary64`
249×	`fma-neg_binary64`
246×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	975
1	522	888
2	1904	859
3	5504	843

Stop Event

1×	node limit

Counts

75 → 99

Calls

Call 1

Inputs
(pow.f64 (pow.f64 a 2) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 2) 1/3))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3) (pow.f64 b 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 2) 1/3)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3) (pow.f64 b 4))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3) (pow.f64 b 6))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 2) 1/3))))
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 2))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 2))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 2))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (pow.f64 a 6))) (pow.f64 (pow.f64 b 2) 1/3))))
(pow.f64 (pow.f64 a 4) 1/3)
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (.f64 (pow.f64 b 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3))))))
(+.f64 (.f64 (+.f64 (.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 a 14)) 1/3)) (.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 a 14)) 1/3))) (pow.f64 b 6)) (+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (.f64 (pow.f64 b 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3)))))))
(pow.f64 (pow.f64 b 4) 1/3)
(+.f64 (pow.f64 (pow.f64 b 4) 1/3) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))))
(+.f64 (pow.f64 (pow.f64 b 4) 1/3) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)))) (.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2)))))
(+.f64 (.f64 (+.f64 (.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/3)) (.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/3))) (pow.f64 a 6)) (+.f64 (pow.f64 (pow.f64 b 4) 1/3) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))))))
(pow.f64 (pow.f64 a 8) 1/3)
(+.f64 (.f64 4/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 8) 1/3))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 a 4)) (.f64 2 (pow.f64 a 4))) (*.f64 16/3 (pow.f64 a 4))) (pow.f64 b 4)) (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3))) (pow.f64 (pow.f64 a 8) 1/3)))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 a 4)) (.f64 2 (pow.f64 a 4))) (.f64 16/3 (pow.f64 a 4))) (pow.f64 b 4)) (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3))) (+.f64 (pow.f64 (pow.f64 a 8) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3) (.f64 (-.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 8/3 (/.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 a 4)) (.f64 2 (pow.f64 a 4))) (.f64 16/3 (pow.f64 a 4))) (pow.f64 a 2))) (.f64 64/27 (pow.f64 a 2)))) (pow.f64 b 6)))))))
(pow.f64 (pow.f64 b 8) 1/3)
(+.f64 (.f64 4/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (pow.f64 (pow.f64 b 8) 1/3))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (+.f64 (pow.f64 (pow.f64 b 8) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (*.f64 16/3 (pow.f64 b 4))) (pow.f64 a 4))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (.f64 (pow.f64 a 6) (-.f64 (.f64 4 (pow.f64 b 2)) (+.f64 (.f64 16/9 (/.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (.f64 16/3 (pow.f64 b 4))) (pow.f64 b 2))) (+.f64 (.f64 8/9 (/.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (.f64 16/3 (pow.f64 b 4))) (pow.f64 b 2))) (.f64 64/27 (pow.f64 b 2)))))))) (+.f64 (pow.f64 (pow.f64 b 8) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (.f64 16/3 (pow.f64 b 4))) (pow.f64 a 4)))))))

Outputs
(pow.f64 (pow.f64 a 2) 1/3)
(cbrt.f64 (*.f64 a a))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 2) 1/3))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) (.f64 b b)) (cbrt.f64 (*.f64 a a)))
(fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))) (.f64 b b) (cbrt.f64 (*.f64 a a)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3) (pow.f64 b 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 2) 1/3)))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) (pow.f64 b 4)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) (.f64 b b)) (cbrt.f64 (.f64 a a))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) (pow.f64 b 4)) (fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))) (.f64 b b) (cbrt.f64 (.f64 a a))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3) (pow.f64 b 4))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3) (pow.f64 b 6))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 2) 1/3))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) (pow.f64 b 4)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (pow.f64 b 6)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) (.f64 b b)) (cbrt.f64 (*.f64 a a)))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) (pow.f64 b 4)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (pow.f64 b 6)) (fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))) (.f64 b b) (cbrt.f64 (*.f64 a a)))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 2))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 1/3 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (cbrt.f64 (*.f64 b b)))
(fma.f64 1/3 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (cbrt.f64 (*.f64 b b)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 2))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -1/9 (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/3 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (cbrt.f64 (.f64 b b))))
(fma.f64 -1/9 (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/3 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (cbrt.f64 (.f64 b b))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 2))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (pow.f64 a 6))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -1/9 (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/3 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (pow.f64 a 6)) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -1/9 (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/3 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (pow.f64 a 6)) (cbrt.f64 (*.f64 b b)))))
(pow.f64 (pow.f64 a 4) 1/3)
(cbrt.f64 (pow.f64 a 4))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))))
(+.f64 (cbrt.f64 (pow.f64 a 4)) (.f64 2/3 (.f64 (.f64 b b) (cbrt.f64 (/.f64 1 (.f64 a a))))))
(fma.f64 2/3 (.f64 (.f64 b b) (cbrt.f64 (/.f64 1 (*.f64 a a)))) (cbrt.f64 (pow.f64 a 4)))
(fma.f64 2/3 (.f64 b (.f64 b (cbrt.f64 (/.f64 1 (*.f64 a a))))) (cbrt.f64 (pow.f64 a 4)))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (.f64 (pow.f64 b 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3))))))
(+.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 2/3 (.f64 (.f64 b b) (cbrt.f64 (/.f64 1 (.f64 a a)))) (.f64 (pow.f64 b 4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) -1/9))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 b b) (cbrt.f64 (/.f64 1 (.f64 a a)))) (cbrt.f64 (pow.f64 a 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (*.f64 -1/9 (pow.f64 b 4))))
(+.f64 (fma.f64 2/3 (.f64 b (.f64 b (cbrt.f64 (/.f64 1 (.f64 a a))))) (cbrt.f64 (pow.f64 a 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (*.f64 -1/9 (pow.f64 b 4))))
(+.f64 (.f64 (+.f64 (.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 a 14)) 1/3)) (.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 a 14)) 1/3))) (pow.f64 b 6)) (+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (.f64 (pow.f64 b 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3)))))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 14))) 4/81) (pow.f64 b 6) (+.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 2/3 (.f64 (.f64 b b) (cbrt.f64 (/.f64 1 (.f64 a a)))) (.f64 (pow.f64 b 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) -1/9)))))
(fma.f64 (pow.f64 b 6) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 14))) 4/81) (+.f64 (fma.f64 2/3 (.f64 (.f64 b b) (cbrt.f64 (/.f64 1 (.f64 a a)))) (cbrt.f64 (pow.f64 a 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (.f64 -1/9 (pow.f64 b 4)))))
(fma.f64 (pow.f64 b 6) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 14))) 4/81) (+.f64 (fma.f64 2/3 (.f64 b (.f64 b (cbrt.f64 (/.f64 1 (.f64 a a))))) (cbrt.f64 (pow.f64 a 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (.f64 -1/9 (pow.f64 b 4)))))
(pow.f64 (pow.f64 b 4) 1/3)
(cbrt.f64 (pow.f64 b 4))
(+.f64 (pow.f64 (pow.f64 b 4) 1/3) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))))
(+.f64 (cbrt.f64 (pow.f64 b 4)) (.f64 2/3 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 b b))))))
(fma.f64 2/3 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (*.f64 b b))))) (cbrt.f64 (pow.f64 b 4)))
(+.f64 (pow.f64 (pow.f64 b 4) 1/3) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)))) (.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2)))))
(+.f64 (cbrt.f64 (pow.f64 b 4)) (fma.f64 (pow.f64 a 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 8))) -1/9) (.f64 2/3 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (*.f64 b b)))))))
(+.f64 (cbrt.f64 (pow.f64 b 4)) (fma.f64 (pow.f64 a 4) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 b 8)))) (.f64 (.f64 a a) (.f64 2/3 (cbrt.f64 (/.f64 1 (*.f64 b b)))))))
(+.f64 (fma.f64 2/3 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (.f64 b b))))) (cbrt.f64 (pow.f64 b 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 8))) (*.f64 (pow.f64 a 4) -1/9)))
(+.f64 (.f64 (+.f64 (.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/3)) (.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/3))) (pow.f64 a 6)) (+.f64 (pow.f64 (pow.f64 b 4) 1/3) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 14))) 4/81) (pow.f64 a 6) (+.f64 (cbrt.f64 (pow.f64 b 4)) (fma.f64 (pow.f64 a 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 8))) -1/9) (.f64 2/3 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 b b))))))))
(+.f64 (fma.f64 (pow.f64 a 4) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 b 8)))) (.f64 (.f64 a a) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 b b)))))) (fma.f64 (pow.f64 a 6) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 14))) 4/81) (cbrt.f64 (pow.f64 b 4))))
(fma.f64 (pow.f64 a 6) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 14))) 4/81) (+.f64 (fma.f64 2/3 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (.f64 b b))))) (cbrt.f64 (pow.f64 b 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 8))) (.f64 (pow.f64 a 4) -1/9))))
(pow.f64 (pow.f64 a 8) 1/3)
(cbrt.f64 (pow.f64 a 8))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (pow.f64 (pow.f64 a 8) 1/3))
(fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (*.f64 b b)) (cbrt.f64 (pow.f64 a 8)))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 a 4)) (.f64 2 (pow.f64 a 4))) (*.f64 16/3 (pow.f64 a 4))) (pow.f64 b 4)) (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3))) (pow.f64 (pow.f64 a 8) 1/3)))
(fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (.f64 (pow.f64 b 4) (+.f64 (.f64 (pow.f64 a 4) 6) (*.f64 -16/3 (pow.f64 a 4))))) (cbrt.f64 (pow.f64 a 8))))
(fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) 2/3))) (cbrt.f64 (pow.f64 a 8))))
(fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (fma.f64 (.f64 (.f64 (pow.f64 a 4) 2/3) (.f64 1/3 (pow.f64 b 4))) (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (cbrt.f64 (pow.f64 a 8))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 a 4)) (.f64 2 (pow.f64 a 4))) (.f64 16/3 (pow.f64 a 4))) (pow.f64 b 4)) (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3))) (+.f64 (pow.f64 (pow.f64 a 8) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 16)) 1/3) (.f64 (-.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 8/3 (/.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 a 4)) (.f64 2 (pow.f64 a 4))) (.f64 16/3 (pow.f64 a 4))) (pow.f64 a 2))) (.f64 64/27 (pow.f64 a 2)))) (pow.f64 b 6)))))))
(fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (.f64 (pow.f64 b 4) (+.f64 (.f64 (pow.f64 a 4) 6) (.f64 -16/3 (pow.f64 a 4))))) (cbrt.f64 (pow.f64 a 8))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (.f64 (pow.f64 b 6) (-.f64 (.f64 (.f64 a a) 4) (fma.f64 8/3 (/.f64 (+.f64 (.f64 (pow.f64 a 4) 6) (.f64 -16/3 (pow.f64 a 4))) (.f64 a a)) (.f64 (*.f64 a a) 64/27))))))))
(fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) 2/3))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 16))) (.f64 (pow.f64 b 6) (-.f64 (.f64 a (.f64 a 4)) (fma.f64 8/3 (/.f64 (.f64 (pow.f64 a 4) 2/3) (.f64 a a)) (.f64 a (.f64 a 64/27)))))) (cbrt.f64 (pow.f64 a 8)))))
(+.f64 (fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (cbrt.f64 (pow.f64 a 8))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 a 16)))) (+.f64 (.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) 2/3)) (.f64 (pow.f64 b 6) (+.f64 (.f64 (.f64 a a) 44/27) (.f64 (.f64 (pow.f64 a 4) (/.f64 2/3 (*.f64 a a))) -8/3))))))
(+.f64 (fma.f64 4/3 (.f64 (cbrt.f64 (.f64 a a)) (.f64 b b)) (cbrt.f64 (pow.f64 a 8))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 a 16)))) (+.f64 (.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) 2/3)) (.f64 (pow.f64 b 6) (fma.f64 (.f64 a a) 44/27 (.f64 8/3 (.f64 (.f64 a a) -2/3)))))))
(pow.f64 (pow.f64 b 8) 1/3)
(cbrt.f64 (pow.f64 b 8))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (pow.f64 (pow.f64 b 8) 1/3))
(fma.f64 4/3 (.f64 (.f64 a a) (cbrt.f64 (*.f64 b b))) (cbrt.f64 (pow.f64 b 8)))
(fma.f64 4/3 (.f64 a (.f64 a (cbrt.f64 (*.f64 b b)))) (cbrt.f64 (pow.f64 b 8)))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (+.f64 (pow.f64 (pow.f64 b 8) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (*.f64 16/3 (pow.f64 b 4))) (pow.f64 a 4))))))
(+.f64 (fma.f64 4/3 (.f64 (.f64 a a) (cbrt.f64 (.f64 b b))) (cbrt.f64 (pow.f64 b 8))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 b 4) 6) (.f64 -16/3 (pow.f64 b 4)))))))
(fma.f64 4/3 (.f64 a (.f64 a (cbrt.f64 (.f64 b b)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (.f64 (pow.f64 a 4) (.f64 (pow.f64 b 4) 2/3))) (cbrt.f64 (pow.f64 b 8))))
(fma.f64 4/3 (.f64 (.f64 a a) (cbrt.f64 (.f64 b b))) (fma.f64 1/3 (.f64 (pow.f64 a 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (.f64 (pow.f64 b 4) 2/3))) (cbrt.f64 (pow.f64 b 8))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (.f64 (pow.f64 a 6) (-.f64 (.f64 4 (pow.f64 b 2)) (+.f64 (.f64 16/9 (/.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (.f64 16/3 (pow.f64 b 4))) (pow.f64 b 2))) (+.f64 (.f64 8/9 (/.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (.f64 16/3 (pow.f64 b 4))) (pow.f64 b 2))) (.f64 64/27 (pow.f64 b 2)))))))) (+.f64 (pow.f64 (pow.f64 b 8) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 16)) 1/3) (.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 b 4)) (.f64 2 (pow.f64 b 4))) (.f64 16/3 (pow.f64 b 4))) (pow.f64 a 4)))))))
(fma.f64 4/3 (.f64 (.f64 a a) (cbrt.f64 (.f64 b b))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (.f64 (pow.f64 a 6) (-.f64 (.f64 4 (.f64 b b)) (fma.f64 16/9 (/.f64 (+.f64 (.f64 (pow.f64 b 4) 6) (.f64 -16/3 (pow.f64 b 4))) (.f64 b b)) (fma.f64 8/9 (/.f64 (+.f64 (.f64 (pow.f64 b 4) 6) (.f64 -16/3 (pow.f64 b 4))) (.f64 b b)) (.f64 (.f64 b b) 64/27)))))) (+.f64 (cbrt.f64 (pow.f64 b 8)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 b 4) 6) (.f64 -16/3 (pow.f64 b 4)))))))))
(fma.f64 4/3 (.f64 a (.f64 a (cbrt.f64 (.f64 b b)))) (fma.f64 1/3 (.f64 (pow.f64 a 6) (.f64 (-.f64 (-.f64 (.f64 4 (.f64 b b)) (.f64 (/.f64 (.f64 (pow.f64 b 4) 2/3) (.f64 b b)) 8/3)) (.f64 b (.f64 b 64/27))) (cbrt.f64 (/.f64 1 (pow.f64 b 16))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 16))) (.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) 2/3))) (cbrt.f64 (pow.f64 b 8)))))
(+.f64 (fma.f64 4/3 (.f64 (.f64 a a) (cbrt.f64 (.f64 b b))) (cbrt.f64 (pow.f64 b 8))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 b 16)))) (+.f64 (.f64 (pow.f64 a 6) (fma.f64 4 (.f64 b b) (-.f64 (.f64 (.f64 b b) -64/27) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (/.f64 b 2/3)) 8/3) b)))) (.f64 (pow.f64 a 4) (.f64 (pow.f64 b 4) 2/3)))))
(+.f64 (fma.f64 4/3 (.f64 (.f64 a a) (cbrt.f64 (.f64 b b))) (cbrt.f64 (pow.f64 b 8))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 b 16)))) (+.f64 (.f64 (pow.f64 a 6) (fma.f64 4 (.f64 b b) (fma.f64 (.f64 (.f64 b b) -2/3) 8/3 (.f64 b (.f64 b -64/27))))) (.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) 2/3)))))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

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))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	212	21
2	2946	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 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) 4) 3) (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 a a) 4) 2) (-.f64 (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2) (*.f64 (*.f64 (*.f64 a a) 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) 4) 2) (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2)) (-.f64 (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (+.f64 a -4) (*.f64 a a)) (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (+.f64 a -4)) (*.f64 a a) (*.f64 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 a 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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (cbrt.f64 (*.f64 a a)) 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (cbrt.f64 (*.f64 a a)) (*.f64 a (+.f64 a -4))) (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) (+.f64 a -4) (*.f64 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) 4) 1 (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 a a) 4)) 2) (cbrt.f64 (*.f64 (*.f64 a a) 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 a a) 4)) (sqrt.f64 (*.f64 (*.f64 a 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 (*.f64 a a) 4))))) (#(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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (+.f64 a -4)) a (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 a) a)) (cbrt.f64 (*.f64 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)) (*.f64 (cbrt.f64 a) a)) (cbrt.f64 (*.f64 a a)) (*.f64 (*.f64 a 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 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (cbrt.f64 (*.f64 a a)) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (cbrt.f64 (*.f64 a a)) (*.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 (cbrt.f64 (*.f64 a a))) (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))))))

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1159×	`distribute-rgt-out_binary64`
675×	`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	263	211
4	846	205
5	2832	205
6	3038	205
7	3300	205
8	4145	205
9	5868	205
10	6402	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 (*.f64 a -4) 4))
(.f64 a (.f64 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 a (.f64 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 a (.f64 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 a (.f64 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 a (.f64 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 a (.f64 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 a (.f64 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%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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))
1.0ms	b	@	-inf	(.f64 (.f64 b b) (fma.f64 b b 12))
1.0ms	b	@	0	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
0.0ms	b	@	-inf	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
715×	`add-log-exp_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
700×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	169	23
2	2030	23

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

618×	`distribute-rgt-neg-in_binary64`
586×	`fma-def_binary64`
475×	`distribute-lft-neg-in_binary64`
472×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	237
1	30	237
2	62	225
3	150	225
4	406	225
5	1474	225
6	4316	225

Stop Event

1×	node limit

Counts

72 → 57

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`fma-neg_binary64`
333×	`expm1-udef_binary64`
333×	`log1p-udef_binary64`
205×	`add-sqr-sqrt_binary64`
201×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	404	53
2	5998	53

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

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

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

510×	`cancel-sign-sub-inv_binary64`
480×	`associate-l_binary64`
452×	`fma-def_binary64`
353×	`distribute-rgt-out_binary64`
328×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1111
1	168	999
2	484	920
3	1888	904
4	4122	904
5	7794	904

Stop Event

1×	node limit

Counts

125 → 111

Calls

Call 1

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

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.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 (*.f64 b b) a))))
(fma.f64 4 (.f64 a a) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 4 (*.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))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 4 (.f64 a -4))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(*.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)))
(fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a a)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 4 (.f64 a (-.f64 a (*.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 (.f64 b b) a))))
(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 (.f64 4 a) (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))))
(.f64 (.f64 4 a) (+.f64 (.f64 b b) (-.f64 a (.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))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 4 (.f64 a -4))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(*.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)))
(fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a a)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 4 (.f64 a (-.f64 a (*.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 (.f64 b b) a))))
(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 (.f64 4 a) (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))))
(.f64 (.f64 4 a) (+.f64 (.f64 b b) (-.f64 a (.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))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 4 (.f64 a -4))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a a)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 4 (.f64 a (*.f64 a (-.f64 1 a))))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 4 (.f64 a -4))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (.f64 a (-.f64 1 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
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(+.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) -1) (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))
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(-.f64 (+.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))))) 1)
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(-.f64 (+.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))))) 1)
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(+.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) -1) (pow.f64 b 4))
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(.f64 4 (.f64 a (-.f64 a (*.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 (.f64 b b) a))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
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(*.f64 -4 (pow.f64 a 3))
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(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
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(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
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(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 (.f64 b b) a))))
(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 (.f64 4 a) (+.f64 (.f64 b b) (.f64 a (-.f64 1 a))))
(.f64 (.f64 4 a) (+.f64 (.f64 b b) (-.f64 a (.f64 a a))))
(-.f64 (+.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))))))) 1)
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(+.f64 -1 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)))
(+.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (*.f64 a (-.f64 1 a)))) -1) (pow.f64 b 4))
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eval401.0ms (4.2%)

Compiler: Compiled 16392 to 10590 computations (35.4% saved)

prune88.0ms (0.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	508	11	519
Fresh	3	3	6
Picked	1	0	1
Done	1	3	4
Total	513	17	530

Error

Counts

530 → 17

Alt Table

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Status	Error	Program
	15.5b	(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 b b 12) 2) (pow.f64 b 4)) -1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1))
▶	20.6b	(fma.f64 12 (*.f64 b b) -1)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	20.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
	12.1b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
	12.1b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	9.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 b b) (fma.f64 b b 12))) 3) 1)
▶	15.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)))) 1)
▶	12.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
▶	0.7b	(-.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)
✓	53.6b	(pow.f64 a 4)
	21.6b	-1
✓	9.7b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	20.8b	(-.f64 (.f64 4 (.f64 a a)) 1)
	51.7b	(pow.f64 b 4)
	9.6b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)
	21.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)

Compiler

Compiled 433 to 312 computations (27.9% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (+.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)))))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 46 computations (58.9% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.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 (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)))))
0.0ms	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)))))

rewrite85.0ms (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	47
1	355	44
2	5214	44

Stop Event

1×	node limit

Counts

2 → 71

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

simplify157.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

889×	`distribute-rgt-out_binary64`
859×	`distribute-rgt-in_binary64`
515×	`associate-+l+_binary64`
474×	`associate-l_binary64`
444×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1105
1	164	960
2	456	886
3	1742	884
4	4318	884
5	6486	884
6	6579	884
7	6696	884
8	6855	884
9	7067	884
10	7346	884

Stop Event

1×	node limit

Counts

119 → 106

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (.f64 a a))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`pow1_binary64`
408×	`add-sqr-sqrt_binary64`
401×	`*-un-lft-identity_binary64`
392×	`add-log-exp_binary64`
392×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1128	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 4 (.f64 a a))

Outputs

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

simplify174.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	330	84
6	1242	84
7	2121	84
8	2285	84
9	2469	84
10	2677	84
11	2974	84
12	3367	84
13	3848	84
14	4414	84
15	5100	84
16	5933	84
17	6329	84
18	6623	84
19	6895	84
20	6965	84
21	6999	84
22	7940	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
644×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
631×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	136	11
2	1783	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify187.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
659×	`pow-sqr_binary64`
493×	`cube-prod_binary64`
405×	`fabs-mul_binary64`
392×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	18	114
2	40	114
3	98	114
4	272	114
5	929	114
6	1871	114
7	2166	114
8	2351	114
9	2552	114
10	2826	114
11	3186	114
12	3641	114
13	4175	114
14	4809	114
15	5560	114
16	5873	114
17	6095	114
18	6293	114
19	6349	114
20	6373	114
21	7207	114

Stop Event

1×	node limit

Counts

36 → 29

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 12 (*.f64 b b) -1)

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`pow1_binary64`
468×	`add-sqr-sqrt_binary64`
457×	`*-un-lft-identity_binary64`
445×	`add-log-exp_binary64`
445×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	116	8
2	1229	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.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 (*.f64 (*.f64 12 (*.f64 b b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 12 (*.f64 b b) -1)) 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 1 (fma.f64 12 (*.f64 b b) -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 (*.f64 (*.f64 12 (*.f64 b b)) (*.f64 12 (*.f64 b b))) (-.f64 1 (*.f64 (*.f64 12 (*.f64 b b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 12 (*.f64 b b)) (*.f64 12 (*.f64 b b))) 1) (-.f64 (*.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 (log1p.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(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)))))))

simplify159.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
452×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	87
1	19	87
2	30	87
3	54	87
4	121	87
5	353	87
6	1284	87
7	2182	87
8	2345	87
9	2529	87
10	2737	87
11	3036	87
12	3429	87
13	3912	87
14	4478	87
15	5166	87
16	6003	87
17	6393	87
18	6677	87
19	6955	87
20	7031	87
21	7065	87

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 a -4))
✓	0.1b	(pow.f64 (*.f64 a (+.f64 a -4)) 3)
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3))))
✓	41.0b	(cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3))

Compiler

Compiled 73 to 51 computations (30.1% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
455×	`fma-def_binary64`
429×	`prod-diff_binary64`
299×	`pow2_binary64`
217×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	281	31
2	3437	31

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

696×	`distribute-lft-out_binary64`
686×	`sqr-pow_binary64`
603×	`*-commutative_binary64`
492×	`unswap-sqr_binary64`
476×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	440
1	82	417
2	204	408
3	654	392
4	2255	385
5	4252	385
6	4911	385
7	5609	385
8	6003	385
9	6401	385
10	6896	385
11	7569	385

Stop Event

1×	node limit

Counts

200 → 191

Calls

Call 1

Inputs
(*.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))
(*.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 -64 (pow.f64 a 3))
(+.f64 (.f64 -64 (pow.f64 a 3)) (.f64 48 (pow.f64 a 4)))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (*.f64 -12 (pow.f64 a 5))))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))))
(pow.f64 a 6)
(+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))
(+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (.f64 -12 (pow.f64 a 5))))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))))
(pow.f64 a 6)
(+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))
(+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (.f64 -12 (pow.f64 a 5))))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))))

Outputs
(*.f64 -4 a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(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 -4 a))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(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 -4 a))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 -4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 (.f64 a a) 4)
(.f64 a (.f64 a 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)))
(fma.f64 (.f64 a a) 4 (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))
(.f64 (.f64 a a) (fma.f64 -4 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 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.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 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 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 -4 a))
(+.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 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.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 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 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 -4 a))
(+.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 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.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 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(*.f64 -64 (pow.f64 a 3))
(*.f64 (pow.f64 a 3) -64)
(+.f64 (.f64 -64 (pow.f64 a 3)) (.f64 48 (pow.f64 a 4)))
(fma.f64 -64 (pow.f64 a 3) (*.f64 (pow.f64 a 4) 48))
(fma.f64 (pow.f64 a 4) 48 (*.f64 (pow.f64 a 3) -64))
(fma.f64 (pow.f64 a 3) -64 (*.f64 (pow.f64 a 4) 48))
(.f64 (pow.f64 a 3) (+.f64 -64 (.f64 a 48)))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (*.f64 -12 (pow.f64 a 5))))
(fma.f64 -64 (pow.f64 a 3) (fma.f64 48 (pow.f64 a 4) (*.f64 -12 (pow.f64 a 5))))
(fma.f64 (pow.f64 a 3) -64 (fma.f64 (pow.f64 a 4) 48 (*.f64 -12 (pow.f64 a 5))))
(fma.f64 (pow.f64 a 3) -64 (fma.f64 -12 (pow.f64 a 5) (*.f64 (pow.f64 a 4) 48)))
(fma.f64 -12 (pow.f64 a 5) (.f64 (pow.f64 a 3) (+.f64 -64 (.f64 a 48))))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))))
(fma.f64 -64 (pow.f64 a 3) (fma.f64 48 (pow.f64 a 4) (+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6))))
(fma.f64 (pow.f64 a 3) -64 (fma.f64 (pow.f64 a 4) 48 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))))
(fma.f64 (pow.f64 a 4) 48 (fma.f64 (pow.f64 a 3) -64 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))))
(fma.f64 -12 (pow.f64 a 5) (.f64 (pow.f64 a 3) (+.f64 -64 (.f64 a (fma.f64 a a 48)))))
(pow.f64 a 6)
(+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))
(+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6))
(fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))
(*.f64 (pow.f64 a 5) (+.f64 -12 a))
(*.f64 (pow.f64 a 5) (+.f64 a -12))
(+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (.f64 -12 (pow.f64 a 5))))
(fma.f64 48 (pow.f64 a 4) (+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6)))
(fma.f64 (pow.f64 a 4) 48 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6)))
(fma.f64 (pow.f64 a 4) 48 (*.f64 (pow.f64 a 5) (+.f64 -12 a)))
(fma.f64 (pow.f64 a 4) 48 (*.f64 (pow.f64 a 5) (+.f64 a -12)))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))))
(fma.f64 -64 (pow.f64 a 3) (fma.f64 48 (pow.f64 a 4) (+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6))))
(fma.f64 (pow.f64 a 3) -64 (fma.f64 (pow.f64 a 4) 48 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))))
(fma.f64 (pow.f64 a 4) 48 (fma.f64 (pow.f64 a 3) -64 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))))
(fma.f64 -12 (pow.f64 a 5) (.f64 (pow.f64 a 3) (+.f64 -64 (.f64 a (fma.f64 a a 48)))))
(pow.f64 a 6)
(+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))
(+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6))
(fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))
(*.f64 (pow.f64 a 5) (+.f64 -12 a))
(*.f64 (pow.f64 a 5) (+.f64 a -12))
(+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (.f64 -12 (pow.f64 a 5))))
(fma.f64 48 (pow.f64 a 4) (+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6)))
(fma.f64 (pow.f64 a 4) 48 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6)))
(fma.f64 (pow.f64 a 4) 48 (*.f64 (pow.f64 a 5) (+.f64 -12 a)))
(fma.f64 (pow.f64 a 4) 48 (*.f64 (pow.f64 a 5) (+.f64 a -12)))
(+.f64 (.f64 -64 (pow.f64 a 3)) (+.f64 (.f64 48 (pow.f64 a 4)) (+.f64 (pow.f64 a 6) (*.f64 -12 (pow.f64 a 5)))))
(fma.f64 -64 (pow.f64 a 3) (fma.f64 48 (pow.f64 a 4) (+.f64 (*.f64 -12 (pow.f64 a 5)) (pow.f64 a 6))))
(fma.f64 (pow.f64 a 3) -64 (fma.f64 (pow.f64 a 4) 48 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))))
(fma.f64 (pow.f64 a 4) 48 (fma.f64 (pow.f64 a 3) -64 (fma.f64 -12 (pow.f64 a 5) (pow.f64 a 6))))
(fma.f64 -12 (pow.f64 a 5) (.f64 (pow.f64 a 3) (+.f64 -64 (.f64 a (fma.f64 a a 48)))))

eval215.0ms (2.3%)

Compiler: Compiled 11198 to 6989 computations (37.6% saved)

prune86.0ms (0.9%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	498	3	501
Fresh	0	9	9
Picked	0	1	1
Done	1	6	7
Total	499	19	518

Error

Counts

518 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	15.5b	(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 b b 12) 2) (pow.f64 b 4)) -1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1))
✓	20.6b	(fma.f64 12 (*.f64 b b) -1)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	20.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
	12.1b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
▶	12.1b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	9.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 b b) (fma.f64 b b 12))) 3) 1)
✓	15.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)))) 1)
✓	12.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
▶	61.8b	(.f64 12 (.f64 b b))
✓	53.6b	(pow.f64 a 4)
	20.6b	(/.f64 (-.f64 (.f64 (.f64 12 (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (.f64 12 (*.f64 b b)) -1))
	21.6b	-1
▶	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
✓	9.7b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	20.8b	(-.f64 (.f64 4 (.f64 a a)) 1)
	51.7b	(pow.f64 b 4)
▶	9.6b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)
▶	21.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)

Compiler

Compiled 429 to 309 computations (28% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b)))
✓	0.2b	(.f64 12 (.f64 b b))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 66 to 24 computations (63.6% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
0.0ms	b	@	inf	(.f64 12 (.f64 b b))
0.0ms	b	@	0	(.f64 12 (.f64 b b))
0.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b)))
0.0ms	a	@	inf	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`fma-def_binary64`
590×	`log-prod_binary64`
362×	`fma-neg_binary64`
342×	`pow2_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	292	44
2	3906	44

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

977×	`distribute-rgt-neg-in_binary64`
856×	`fma-def_binary64`
631×	`fma-neg_binary64`
371×	`*-commutative_binary64`
361×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	1166
1	114	982
2	288	930
3	1016	930
4	3186	930
5	6906	930

Stop Event

1×	node limit

Counts

233 → 204

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(.f64 12 (.f64 b b))

Compiler

Compiled 12 to 6 computations (50% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
0.0ms	a	@	0	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary64`
476×	`log-prod_binary64`
329×	`pow-prod-down_binary64`
326×	`fma-def_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	225	23
2	2918	23

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) (fma.f64 -4 (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a -4 4)))) (cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) 4)) (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a -4 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) 4)) (*.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a -4 4)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 a (fma.f64 a -4 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) 4) (fma.f64 -4 (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) (fma.f64 a -4 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a -4 4)) 2) (*.f64 (cbrt.f64 (fma.f64 a -4 4)) (*.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) (*.f64 (*.f64 a (sqrt.f64 (fma.f64 a -4 4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 a (fma.f64 a -4 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a -4 4)) (*.f64 (sqrt.f64 (fma.f64 a -4 4)) (*.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (fma.f64 a -4 4)) a -1)))) (#(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))) (fma.f64 -4 (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a 4))) (sqrt.f64 (*.f64 a (*.f64 a 4))) (fma.f64 -4 (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 a) a (fma.f64 -4 (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (fma.f64 -4 (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 (fma.f64 a -4 4))) 2) (cbrt.f64 (fma.f64 a -4 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (sqrt.f64 (fma.f64 a -4 4))) (sqrt.f64 (fma.f64 a -4 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 a -4 4) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) -1)))))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	300
1	38	288
2	78	277
3	204	237
4	528	237
5	1983	237
6	5203	237
7	7688	237

Stop Event

1×	node limit

Counts

148 → 133

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 120 to 77 computations (35.8% saved)

series16.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))
2.0ms	b	@	-inf	(.f64 b (.f64 a (+.f64 4 (*.f64 2 a))))
1.0ms	b	@	0	(.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))
1.0ms	a	@	inf	(.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))
1.0ms	a	@	-inf	(.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`fma-neg_binary64`
343×	`expm1-udef_binary64`
343×	`log1p-udef_binary64`
273×	`log-pow_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	398	53
2	5846	53

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify168.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1046×	`distribute-rgt-in_binary64`
725×	`associate-l_binary64`
631×	`distribute-rgt-out_binary64`
554×	`unswap-sqr_binary64`
481×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	1285
1	140	1195
2	374	1093
3	1187	1085
4	3805	1084
5	6323	1084
6	6434	1084
7	6613	1084
8	6841	1084
9	7091	1084
10	7394	1084

Stop Event

1×	node limit

Counts

157 → 114

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)
✓	0.0b	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
✓	0.2b	(.f64 (.f64 b b) 12)

Compiler

Compiled 37 to 22 computations (40.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
0.0ms	b	@	-inf	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
0.0ms	b	@	0	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
0.0ms	b	@	0	(.f64 (.f64 b b) 12)
0.0ms	b	@	-inf	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`fma-def_binary64`
436×	`log-prod_binary64`
317×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
295×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	224	32
2	2881	30

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

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

Outputs

((#(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 (pow.f64 (exp.f64 b) (*.f64 b 12))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b 12)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 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 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 11)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 4) 144) 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 (*.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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11)))) (sqrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11))))))) (#(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 (exp.f64 b) (*.f64 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 (*.f64 (pow.f64 b 6) 1728))))) (#(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 (fma.f64 2 (log.f64 b) (log1p.f64 11)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 b b) 12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b 6) 1728)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 b) (log1p.f64 11)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (*.f64 (*.f64 b b) (fma.f64 b b -12))) (/.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 (*.f64 b b) (fma.f64 b b -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (+.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (fma.f64 b b 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 b b) (fma.f64 b b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 2)) (cbrt.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) (*.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 b 12)) (/.f64 1 (-.f64 (+.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (*.f64 (pow.f64 b 6) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (/.f64 1 (*.f64 (*.f64 b b) (fma.f64 b b -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (*.f64 (pow.f64 b 6) 12)) (fma.f64 (pow.f64 b 6) 1728 (pow.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 b b) 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(2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 b 3) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 b 3) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 12) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (+.f64 12 (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) 12) 1 (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 4) 1 (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 4) 1 (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 b b) 12) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 b b) (fma.f64 b b 12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 b (*.f64 b 12) -1) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3) b (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3) b (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 2)) (cbrt.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 b b) (fma.f64 b b 12))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 b b) 12)) (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (cbrt.f64 (*.f64 (*.f64 b b) 12)) (+.f64 (pow.f64 b 4) -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 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 8) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 8) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 12) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 8) (*.f64 (cbrt.f64 b) b) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 8) (*.f64 (cbrt.f64 b) b) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) (*.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (*.f64 b 12)) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 b 6) 1728 (pow.f64 b 12)) (/.f64 1 (-.f64 (+.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (*.f64 (pow.f64 b 6) 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (/.f64 1 (*.f64 (*.f64 b b) (fma.f64 b b -12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) 2) (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) (pow.f64 b 4))))) (#(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 b 4))))) (#(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 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 (pow.f64 b 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 b 4) 5/6) (pow.f64 (cbrt.f64 b) 2) (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 b 4) 5/6) (pow.f64 (cbrt.f64 b) 2) (*.f64 (fma.f64 b (*.f64 b 12) -1) 1))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

618×	`distribute-rgt-neg-in_binary64`
586×	`fma-def_binary64`
475×	`distribute-lft-neg-in_binary64`
472×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	321
1	30	321
2	62	309
3	150	309
4	406	309
5	1474	309
6	4316	309

Stop Event

1×	node limit

Counts

234 → 208

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

eval405.0ms (4.2%)

Compiler: Compiled 16457 to 10785 computations (34.5% saved)

prune178.0ms (1.9%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	777	5	782
Fresh	4	3	7
Picked	1	0	1
Done	3	8	11
Total	785	16	801

Error

Counts

801 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	9.7b	(fma.f64 (.f64 b b) (+.f64 12 (.f64 b b)) -1)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	20.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
	12.1b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
	21.6b	-1
✓	15.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)))) 1)
✓	12.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
✓	61.8b	(.f64 12 (.f64 b b))
✓	53.6b	(pow.f64 a 4)
✓	21.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	9.7b	(-.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 b b))) 1)
	9.6b	(-.f64 (fma.f64 (pow.f64 b 3) b (.f64 (.f64 b b) 12)) 1)
	32.7b	(-.f64 (/.f64 1 (/.f64 (.f64 (.f64 b b) (fma.f64 b b -12)) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)))) 1)
✓	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
✓	20.8b	(-.f64 (.f64 4 (.f64 a a)) 1)
	51.7b	(pow.f64 b 4)

Compiler

Compiled 196 to 141 computations (28.1% saved)

regimes101.0ms (1.1%)

Counts

32 → 1

Calls

Call 1

Inputs
-1
-1
(.f64 12 (.f64 b b))
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(/.f64 (-.f64 (.f64 (.f64 12 (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (.f64 12 (*.f64 b b)) -1))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(fma.f64 12 (*.f64 b b) -1)
(fma.f64 (.f64 b b) (+.f64 12 (.f64 b b)) -1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 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 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)
(-.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 (fma.f64 (pow.f64 b 3) b (.f64 (.f64 b b) 12)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)))) 1)
(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 b b) (fma.f64 b b 12))) 3) 1)
(-.f64 (/.f64 1 (/.f64 (.f64 (.f64 b b) (fma.f64 b b -12)) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 b b 12) 2) (pow.f64 b 4)) -1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1))
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (.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 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.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))) 3) 1)
(-.f64 (+.f64 (.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 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

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

Calls

8 calls:

16.0ms	a
16.0ms	b
11.0ms	(+.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)))))
11.0ms	(+.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)

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 632 to 376 computations (40.5% saved)

regimes69.0ms (0.7%)

Counts

29 → 1

Calls

Call 1

Inputs
-1
-1
(.f64 12 (.f64 b b))
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(/.f64 (-.f64 (.f64 (.f64 12 (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (.f64 12 (*.f64 b b)) -1))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(fma.f64 12 (*.f64 b b) -1)
(fma.f64 (.f64 b b) (+.f64 12 (.f64 b b)) -1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 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 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)
(-.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 (fma.f64 (pow.f64 b 3) b (.f64 (.f64 b b) 12)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)))) 1)
(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 b b) (fma.f64 b b 12))) 3) 1)
(-.f64 (/.f64 1 (/.f64 (.f64 (.f64 b b) (fma.f64 b b -12)) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 (fma.f64 b b 12) 2) (pow.f64 b 4)) -1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1))
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6)) (.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:

15.0ms	a
14.0ms	b
12.0ms	(*.f64 b b)
11.0ms	(+.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)))))
5.0ms	(-.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 475 to 280 computations (41.1% saved)

regimes67.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

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

Outputs
(-.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:

41.0ms	a
11.0ms	b
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`
0.7b	1	`(*.f64 b b)`

Compiler

Compiled 272 to 156 computations (42.6% saved)

regimes44.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

Calls

3 calls:

14.0ms	b
11.0ms	a
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	1	`a`
1.0b	1	`b`
1.0b	1	`(*.f64 b b)`

Compiler

Compiled 247 to 145 computations (41.3% saved)

regimes112.0ms (1.2%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

38.0ms	(*.f64 b b)
31.0ms	b
27.0ms	a
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.5b	3	`a`
0.8b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 189 to 112 computations (40.7% saved)

bsearch87.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	9.716875990073565e-22	4.134792600158853e-20
29.0ms	-1.5767529808459093e-6	-4.1494576468591276e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes132.0ms (1.4%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

53.0ms	a
26.0ms	b
10.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.5b	3	`a`
0.9b	3	`b`
0.9b	2	`(*.f64 b b)`
0.9b	2	`(*.f64 b b)`

Compiler

Compiled 174 to 102 computations (41.4% saved)

bsearch98.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	9.716875990073565e-22	4.134792600158853e-20
29.0ms	-1.5767529808459093e-6	-4.1494576468591276e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes68.0ms (0.7%)

Counts

16 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

27.0ms	b
25.0ms	a
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.0b	3	`b`
1.0b	2	`(*.f64 b b)`

Compiler

Compiled 158 to 92 computations (41.8% saved)

bsearch54.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	9.716875990073565e-22	4.134792600158853e-20
27.0ms	-1.5767529808459093e-6	-4.1494576468591276e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes58.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

23.0ms	a
21.0ms	b
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.0b	3	`b`
1.0b	2	`(*.f64 b b)`

Compiler

Compiled 138 to 83 computations (39.9% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	9.716875990073565e-22	4.134792600158853e-20
27.0ms	-1.5767529808459093e-6	-4.1494576468591276e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes53.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	a
18.0ms	b
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.0b	3	`b`
1.0b	2	`(*.f64 b b)`

Compiler

Compiled 101 to 60 computations (40.6% saved)

bsearch57.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	9.716875990073565e-22	4.134792600158853e-20
29.0ms	-1.5767529808459093e-6	-4.1494576468591276e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes42.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	a
15.0ms	b
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.2b	3	`a`
1.5b	3	`b`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 67 to 40 computations (40.3% saved)

bsearch99.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	9.716875990073565e-22	4.134792600158853e-20
67.0ms	-1.5767529808459093e-6	-4.1494576468591276e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
9.7b	1	`a`
9.7b	1	`b`
9.7b	1	`(*.f64 b b)`

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes14.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	b
4.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
20.6b	1	`a`
20.6b	1	`b`
20.6b	1	`(*.f64 b b)`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total -41.0b remaining (-189.6%)

Threshold costs -41.0b (-189.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
-1

Calls

3 calls:

4.0ms	b
4.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
21.6b	1	`a`
21.6b	1	`b`
21.6b	1	`(*.f64 b b)`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
18×	`*-commutative_binary64`
14×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	667
1	133	667
2	149	667
3	153	667
4	155	667

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.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 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4)) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1) (-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4)) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (fma.f64 (.f64 b b) (+.f64 12 (.f64 b b)) -1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)))
(-.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 b b))) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.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 b b) (+.f64 a 3))))) -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 b b) (+.f64 a 3))))))
(-.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 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 12)) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 12)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4)) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1) (-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4)) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 4 (.f64 a a))) -1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 (+.f64 (.f64 (.f64 b b) 12) (pow.f64 b 4)) -1) (+.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 4 (.f64 a a))) -1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 4 (.f64 a a)))) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 -1 (+.f64 (.f64 (.f64 b b) 12) (pow.f64 b 4))) (+.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 4 (.f64 a a))))))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 (+.f64 (.f64 (.f64 b b) 12) (pow.f64 b 4)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2))))))) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 -1 (+.f64 (.f64 (.f64 b b) 12) (pow.f64 b 4))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))))))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (fma.f64 (.f64 b b) (+.f64 12 (.f64 b b)) -1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (fma.f64 (.f64 b b) (+.f64 (.f64 b b) 12) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2))))))) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (fma.f64 (.f64 b b) (+.f64 (.f64 b b) 12) -1) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))))))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))) -1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2))))))) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 -1 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))))))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) -1) (+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) -1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 -1 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12))) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) 1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (-.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) -1) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) -1) (+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) -1)))
(if (<=.f64 a -3723002714255763/2361183241434822606848) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a a)))) (if (<=.f64 a 2583188719515211/2658455991569831745807614120560689152) (+.f64 -1 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12))) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))))))
(-.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 b b))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) -1)
(+.f64 -1 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)))
(-.f64 (.f64 12 (.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) 12) -1)
(+.f64 -1 (.f64 (.f64 b b) 12))
-1

Compiler

Compiled 480 to 317 computations (34% saved)

soundness120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
399×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	700	37
4	2287	33
5	4261	33

Stop Event

1×	node limit

Compiler

Compiled 975 to 567 computations (41.8% saved)

end218.0ms (2.3%)

Compiler: Compiled 456 to 272 computations (40.4% saved)