Details

analyze177.0ms (1.6%)

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 (21.4%)

Results

2.1s	8256×	body	256	valid
201.0ms	1004×	body	256	infinite

Bogosity

preprocess230.0ms (2.1%)

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)

simplify53.0ms (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))

eval2.0ms (0%)

Compiler: Compiled 54 to 33 computations (38.9% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

0.2b

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

localize108.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series66.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	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))
6.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
4.0ms	b	@	0	(pow.f64 (hypot.f64 a b) 4)
3.0ms	b	@	inf	(pow.f64 (hypot.f64 a b) 4)
2.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)

rewrite184.0ms (1.7%)

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	4861	74

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

607×	`associate-l_binary64`
585×	`+-commutative_binary64`
566×	`associate-r_binary64`
470×	`fma-neg_binary64`
344×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2157
1	606	2043
2	2227	1943
3	7187	1935

Stop Event

1×	node limit

Counts

292 → 265

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

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))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 3 a)) (pow.f64 a 2))
(fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 a 3))
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(fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 a b))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (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 a a) (*.f64 b b)) (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)))
(+.f64 (fma.f64 2 (.f64 a (.f64 b (*.f64 a b))) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 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))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/2 (pow.f64 a 4) (fma.f64 -1/2 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a a) (.f64 b b)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (pow.f64 a 4) 0) (/.f64 (.f64 b b) (*.f64 a a)))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (fma.f64 2 (.f64 (.f64 a b) (.f64 a b)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (/.f64 (*.f64 a a) b) (/.f64 0 b)))))) 0))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (*.f64 b b)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (fma.f64 2 (.f64 a (.f64 b (.f64 a b))) (pow.f64 b 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (*.f64 b b)) (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)
(+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4)))
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 a (*.f64 b b)) (pow.f64 b 4))) -1)
(+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))) (+.f64 (pow.f64 b 4) -1))
(+.f64 -1 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 a 4)) (.f64 b b))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a 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 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 a (*.f64 b b)) (pow.f64 b 4)))) -1)
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))) (+.f64 (pow.f64 b 4) -1)))
(+.f64 -1 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 a 4)) (.f64 b b)))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a 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)
(+.f64 (fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 a (*.f64 b b)) (pow.f64 b 4))))) -1)
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))) (+.f64 (pow.f64 b 4) -1))))
(+.f64 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 a 4)) (.f64 b b)))) (fma.f64 (pow.f64 a 3) -4 -1))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a 4)) -1))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(+.f64 (.f64 -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 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 b (.f64 b a)) 4 (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 b (.f64 a b)) 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))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(+.f64 (.f64 -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 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 b (.f64 b a)) 4 (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 b (.f64 a b)) 4 (pow.f64 a 4))))
(-.f64 (+.f64 (*.f64 4 (-.f64 (pow.f64 a 2) (pow.f64 a 3))) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)) -1)
(+.f64 -1 (fma.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 a 4) (-.f64 a (.f64 a a)) -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 (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)) (pow.f64 a 4))) -1)
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))))
(-.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 (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)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) -1)
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)))))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)))))
(-.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)
(+.f64 (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 2 (.f64 (.f64 a a) (*.f64 (pow.f64 b 8) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (/.f64 5/64 (pow.f64 a 6))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) -1)
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (fma.f64 2 (.f64 (pow.f64 b 8) (.f64 (.f64 a a) (-.f64 (/.f64 5/64 (pow.f64 a 6)) (+.f64 (/.f64 1/16 (pow.f64 a 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2))))) (pow.f64 b 4)) (fma.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)))))
(+.f64 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 2 (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 a (.f64 a (pow.f64 b 8)))) (pow.f64 b 4))) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) -1))
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)))) (fma.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 a (.f64 (.f64 a 2) (pow.f64 b 8))) -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))
(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 a 4))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 a 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 (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 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2)))) -1))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2))))))
(-.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 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2)))) -1))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2))))))
(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 a 4))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 a 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 (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 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2)))) -1))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2))))))
(-.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 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2)))) -1))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (fma.f64 (pow.f64 a 4) 1/2 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) 1/2))))))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	inf	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`fma-def_binary64`
408×	`fma-neg_binary64`
315×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	390	53
2	5467	53

Stop Event

1×	node limit

Counts

4 → 171

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-r_binary64`
520×	`distribute-rgt-out_binary64`
489×	`unswap-sqr_binary64`
434×	`distribute-rgt-neg-in_binary64`
377×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1315
1	130	1233
2	365	1154
3	1230	1140
4	2882	1140
5	5899	1140

Stop Event

1×	node limit

Counts

255 → 211

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

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

eval366.0ms (3.4%)

Compiler: Compiled 16170 to 9278 computations (42.6% saved)

prune256.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	471	5	476
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	473	5	478

Error

Counts

478 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
▶	11.2b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	11.2b	(-.f64 (+.f64 (fma.f64 2 (.f64 b (.f64 b (.f64 a a))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	11.2b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	50.7b	(*.f64 (pow.f64 a 3) (+.f64 a -4))

Compiler

Compiled 224 to 156 computations (30.4% saved)

localize75.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 69 to 29 computations (58% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	191	14
2	2445	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 b (.f64 b 12))
(+.f64 (.f64 a a) (.f64 b b))

Outputs

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

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

simplify186.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
666×	`cube-prod_binary64`
665×	`fabs-mul_binary64`
603×	`associate-l_binary64`
514×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	288
1	19	252
2	36	252
3	64	252
4	152	252
5	461	252
6	1800	252
7	2117	252
8	2406	252
9	2657	252
10	2998	252
11	3493	252
12	4148	252
13	4942	252
14	5868	252
15	6393	252
16	6810	252
17	7201	252
18	7320	252
19	7366	252

Stop Event

1×	node limit

Counts

82 → 53

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))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))

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))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))

localize38.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	1996	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify180.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1071×	`sqr-pow_binary64`
577×	`pow-sqr_binary64`
567×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	23	114
2	51	114
3	103	105
4	239	105
5	914	105
6	2018	105
7	2431	105
8	2591	105
9	2773	105
10	3013	105
11	3324	105
12	3710	105
13	4192	105
14	4823	105
15	5623	105
16	6025	105
17	6385	105
18	6683	105
19	6925	105
20	7075	105

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

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

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

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	371	27
2	5387	27

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

940×	`difference-of-squares_binary64`
493×	`associate-l_binary64`
426×	`distribute-lft-out_binary64`
370×	`distribute-rgt-out_binary64`
323×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	532
1	117	476
2	332	454
3	1155	450
4	3090	450
5	5401	450

Stop Event

1×	node limit

Counts

67 → 63

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

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	371	27
2	5385	27

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-neg_binary64`
546×	`difference-of-squares_binary64`
488×	`associate-l_binary64`
349×	`distribute-rgt-out_binary64`
335×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	509
1	121	463
2	353	453
3	1302	451
4	3067	451
5	4898	451

Stop Event

1×	node limit

Counts

67 → 63

Calls

Call 1

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

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

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))
✓	0.8b	(.f64 b (.f64 b (*.f64 a a)))
✓	0.9b	(.f64 b (.f64 a a))

Compiler

Compiled 155 to 72 computations (53.5% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	1492	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2164×	`associate-l_binary64`
1808×	`associate-r_binary64`
757×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
256×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	18	408
2	39	408
3	108	408
4	483	408
5	1060	408
6	1126	408
7	1226	408
8	1346	408
9	1468	408
10	1615	408
11	1779	408
12	1968	408
13	2183	408
14	2413	408
15	2657	408
16	2922	408
17	3201	408
18	3501	408
19	3815	408

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

eval604.0ms (5.6%)

Compiler: Compiled 20050 to 12267 computations (38.8% saved)

prune290.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	700	9	709
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	703	11	714

Error

Counts

714 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	12.8b	(-.f64 (pow.f64 b 4) 1)
✓	50.7b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
▶	22.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	23.3b	(-.f64 (.f64 a (.f64 4 (+.f64 a (-.f64 (.f64 b b) (.f64 a a))))) 1)
	23.4b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
▶	12.2b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
▶	0.8b	(-.f64 (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.f64 b (*.f64 b 12))) 1)
▶	11.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
▶	51.3b	(pow.f64 a 4)
	11.7b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
✓	0.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

Compiler

Compiled 246 to 178 computations (27.6% saved)

localize200.0ms (1.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 b (.f64 b 12))
✓	0.3b	(pow.f64 (fma.f64 a a (*.f64 b b)) 2)

Compiler

Compiled 62 to 28 computations (54.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`pow1_binary64`
518×	`add-log-exp_binary64`
518×	`log1p-expm1-u_binary64`
518×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	141	10
2	1513	10

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify200.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1061×	`sqr-pow_binary64`
702×	`fma-def_binary64`
528×	`cube-prod_binary64`
518×	`pow-sqr_binary64`
514×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	402
1	42	402
2	99	378
3	307	378
4	1247	378
5	2459	378
6	2860	378
7	3023	378
8	3239	378
9	3468	378
10	3774	378
11	4160	378
12	4626	378
13	5242	378
14	6027	378
15	6405	378
16	6719	378
17	6989	378
18	7165	378
19	7299	378

Stop Event

1×	node limit

Counts

42 → 27

Calls

Call 1

Inputs
(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)))

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1768	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	55	171
4	119	171
5	350	171
6	1288	171
7	2182	171
8	2345	171
9	2529	171
10	2737	171
11	3037	171
12	3430	171
13	3915	171
14	4483	171
15	5171	171
16	6008	171
17	6400	171
18	6686	171
19	6962	171
20	7032	171
21	7066	171

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

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

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

localize173.0ms (1.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 54 to 37 computations (31.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
373×	`pow-prod-down_binary64`
363×	`prod-diff_binary64`
314×	`fma-def_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	212	25
2	2957	25

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
622×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
568×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	310
1	55	286
2	124	276
3	320	248
4	947	236
5	1959	236
6	3764	236
7	3897	236
8	4113	236
9	4529	236
10	5316	236
11	6722	236
12	7176	236
13	7729	236

Stop Event

1×	node limit

Counts

114 → 108

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`pow1_binary64`
514×	`add-log-exp_binary64`
514×	`log1p-expm1-u_binary64`
514×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	121	19
2	1405	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify177.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1034×	`sqr-pow_binary64`
624×	`fma-def_binary64`
499×	`cube-prod_binary64`
470×	`pow-sqr_binary64`
464×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	198
1	33	198
2	63	198
3	126	198
4	385	198
5	1833	198
6	2768	198
7	3171	198
8	3432	198
9	3743	198
10	4154	198
11	4747	198
12	5398	198
13	6172	198
14	6555	198
15	6885	198
16	7157	198
17	7329	198
18	7419	198

Stop Event

1×	node limit

Counts

50 → 35

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))
(*.f64 12 b)
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))

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 (fma.f64 b b 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 (fma.f64 b b 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 (fma.f64 b b 12) (.f64 b b))
(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 (fma.f64 b b 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 (fma.f64 b b 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 (fma.f64 b b 12) (.f64 b b))
(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 (fma.f64 b b 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 (fma.f64 b b 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 (fma.f64 b b 12) (.f64 b b))
(*.f64 12 b)
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))

eval94.0ms (0.9%)

Compiler: Compiled 3634 to 2406 computations (33.8% saved)

prune45.0ms (0.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	227	8	235
Fresh	3	1	4
Picked	0	1	1
Done	2	4	6
Total	232	14	246

Error

Counts

246 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	11.9b	(-.f64 (+.f64 (.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a)))) (.f64 b (.f64 b 12))) 1)
✓	12.2b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
▶	11.8b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) 1)
✓	51.3b	(pow.f64 a 4)
	22.9b	(-.f64 (.f64 b (.f64 12 b)) 1)
▶	23.1b	(-.f64 (.f64 a (.f64 4 a)) 1)
	23.9b	-1
	12.8b	(-.f64 (pow.f64 b 4) 1)
✓	0.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
▶	12.2b	(-.f64 (+.f64 (.f64 (.f64 a (+.f64 a -4)) (.f64 a a)) (.f64 4 (*.f64 a a))) 1)
	23.4b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
▶	12.4b	(-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) 1)
✓	11.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)

Compiler

Compiled 281 to 194 computations (31% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))
✓	0.2b	(.f64 (.f64 b b) 12)
✓	0.2b	(.f64 (.f64 b b) (*.f64 b b))

Compiler

Compiled 48 to 16 computations (66.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	158	22
2	2205	22

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(.f64 (.f64 b b) (*.f64 b b))
(.f64 (.f64 b b) 12)
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))

Outputs

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

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

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

simplify218.0ms (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	9	246
1	19	246
2	41	246
3	100	246
4	270	246
5	910	246
6	1835	246
7	2129	246
8	2314	246
9	2515	246
10	2791	246
11	3151	246
12	3603	246
13	4139	246
14	4765	246
15	5518	246
16	5833	246
17	6059	246
18	6257	246
19	6313	246
20	6337	246
21	7171	246

Stop Event

1×	node limit

Counts

103 → 70

Calls

Call 1

Inputs
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(pow.f64 b 4)
(*.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))

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

localize17.0ms (0.2%)

Compiler: Compiled 20 to 14 computations (30% saved)

localize33.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 20 computations (47.4% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
763×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	159	20
2	2172	20

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1246×	`distribute-rgt-in_binary64`
743×	`sqr-pow_binary64`
700×	`associate-l_binary64`
695×	`fma-def_binary64`
493×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	246
1	32	219
2	71	210
3	176	210
4	552	210
5	2661	210
6	3917	210
7	4647	210
8	4937	210
9	5252	210
10	5671	210
11	6350	210
12	6985	210

Stop Event

1×	node limit

Counts

69 → 53

Calls

Call 1

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

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

localize43.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 63 to 33 computations (47.6% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite112.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`fma-def_binary64`
582×	`log-prod_binary64`
428×	`pow-prod-down_binary64`
312×	`fma-neg_binary64`
289×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	233	31
2	3304	31

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

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

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

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-r_binary64`
590×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
484×	`sqr-pow_binary64`
465×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	357
1	37	357
2	81	339
3	262	325
4	875	319
5	2845	319
6	3067	319
7	3312	319
8	4025	319
9	6647	319
10	7021	319
11	7513	319

Stop Event

1×	node limit

Counts

167 → 141

Calls

Call 1

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

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b (.f64 b 2) (.f64 a a))
✓	0.1b	(.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a))))
	0.2b	(.f64 b (.f64 b 12))
✓	0.2b	(.f64 a (fma.f64 b (.f64 b 2) (*.f64 a a)))

Compiler

Compiled 89 to 45 computations (49.4% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	180	42
2	2116	42

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify323.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1191×	`sqr-pow_binary64`
557×	`pow-sqr_binary64`
503×	`unswap-sqr_binary64`
495×	`fma-def_binary64`
441×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	882
1	50	882
2	110	882
3	295	882
4	1277	882
5	2590	882
6	2994	882
7	3173	882
8	3394	882
9	3638	882
10	3939	882
11	4314	882
12	4733	882
13	5255	882
14	5883	882
15	6139	882
16	6349	882
17	6517	882
18	6631	882
19	6705	882
20	7431	882

Stop Event

1×	node limit

Counts

124 → 68

Calls

Call 1

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

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

eval139.0ms (1.3%)

Compiler: Compiled 6605 to 4277 computations (35.2% saved)

prune58.0ms (0.5%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	344	3	347
Fresh	0	4	4
Picked	1	0	1
Done	2	7	9
Total	347	14	361

Error

Counts

361 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.2b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
	23.5b	(-.f64 (.f64 a (.f64 -4 (*.f64 a a))) 1)
✓	51.3b	(pow.f64 a 4)
	22.9b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	23.1b	(-.f64 (.f64 a (.f64 4 a)) 1)
	23.9b	-1
	12.8b	(-.f64 (pow.f64 b 4) 1)
✓	22.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	23.4b	(-.f64 (.f64 (-.f64 1 a) (.f64 4 (*.f64 a a))) 1)
	11.8b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b (*.f64 b 12))) 1)
✓	12.4b	(-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) 1)
✓	11.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	12.2b	(-.f64 (+.f64 (.f64 (.f64 a (+.f64 a -4)) (.f64 a a)) (.f64 4 (*.f64 a a))) 1)
	11.9b	(-.f64 (+.f64 (.f64 a (.f64 a (+.f64 (.f64 (.f64 b b) 2) (.f64 a a)))) (.f64 b (*.f64 b 12))) 1)

Compiler

Compiled 165 to 117 computations (29.1% saved)

regimes85.0ms (0.8%)

Counts

27 → 1

Calls

Call 1

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

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:

13.0ms	a
13.0ms	b
10.0ms	(+.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 (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)))))
7.0ms	(*.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 511 to 299 computations (41.5% saved)

regimes64.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

Calls

5 calls:

18.0ms	b
13.0ms	a
9.0ms	(+.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)))))
7.0ms	(*.f64 b b)
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 423 to 246 computations (41.8% saved)

regimes46.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

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

Calls

4 calls:

13.0ms	a
13.0ms	b
6.0ms	(*.f64 b b)
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`b`
0.8b	1	`(*.f64 b b)`
0.8b	1	`(*.f64 b b)`

Compiler

Compiled 291 to 172 computations (40.9% saved)

regimes110.0ms (1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	a
39.0ms	b
9.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.5b	3	`a`
2.4b	3	`b`
2.5b	2	`(*.f64 b b)`
2.5b	2	`(*.f64 b b)`

Compiler

Compiled 208 to 124 computations (40.4% saved)

bsearch74.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	123.6517782077513	165136979512.64398
41.0ms	-5271942.164863405	-8.7843784800786e-16

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes195.0ms (1.8%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

111.0ms	a
58.0ms	b
10.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
2.5b	3	`b`
2.5b	2	`(*.f64 b b)`
2.5b	2	`(*.f64 b b)`

Compiler

Compiled 197 to 116 computations (41.1% saved)

bsearch111.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	123.6517782077513	165136979512.64398
54.0ms	-5271942.164863405	-8.7843784800786e-16

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes103.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	b
26.0ms	a
18.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
2.5b	3	`b`
2.6b	2	`(*.f64 b b)`
2.6b	2	`(*.f64 b b)`

Compiler

Compiled 187 to 110 computations (41.2% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	123.6517782077513	165136979512.64398
33.0ms	-5271942.164863405	-8.7843784800786e-16

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes83.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	b
26.0ms	a
9.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
2.5b	3	`b`
2.6b	2	`(*.f64 b b)`
2.6b	2	`(*.f64 b b)`

Compiler

Compiled 180 to 105 computations (41.7% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	123.6517782077513	165136979512.64398
31.0ms	-5271942.164863405	-8.7843784800786e-16

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
12.2b	1	`a`
12.2b	1	`b`
12.2b	1	`(*.f64 b b)`

Compiler

Compiled 79 to 53 computations (32.9% saved)

regimes17.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
12.4b	1	`a`
12.4b	1	`b`
12.4b	1	`(*.f64 b b)`

Compiler

Compiled 66 to 44 computations (33.3% saved)

regimes22.0ms (0.2%)

Accuracy

Total -1.0b remaining (-4.4%)

Threshold costs -1.0b (-4.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(*.f64 b b)
4.0ms	b
4.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.9b	1	`a`
22.9b	1	`b`
22.9b	1	`(*.f64 b b)`
22.9b	1	`(*.f64 b b)`

Compiler

Compiled 49 to 34 computations (30.6% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
17×	`*-commutative_binary64`
12×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	391
1	113	391
2	127	391
3	131	391
4	133	391

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 b (.f64 b 12))) 1)
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b (.f64 b 12))) 1) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b (.f64 b 12))) 1) (-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) 1)))
(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
(-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) 1)
(-.f64 (.f64 b (.f64 12 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 a 3) (*.f64 b b))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 (+.f64 (.f64 b (.f64 b 12)) (pow.f64 b 4)) -1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 -1 (+.f64 (.f64 b (.f64 b 12)) (pow.f64 b 4))) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 (.f64 b (.f64 b (fma.f64 b b 12))) -1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 12)))) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b (.f64 b 12))) 1) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 (+.f64 (.f64 b (.f64 b 12)) (.f64 (.f64 b b) (.f64 b b))) -1) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 -1 (+.f64 (.f64 b (.f64 b 12)) (.f64 (.f64 b b) (.f64 b b)))) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -5660704796122941/1073741824) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 2175305086953625/17592186044416) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b (.f64 b 12))) 1) (-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) 1)))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 (+.f64 (.f64 b (.f64 b 12)) (.f64 (.f64 b b) (.f64 b b))) -1) (+.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) -1)))
(if (<=.f64 a -5660704796122941/1073741824) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (if (<=.f64 a 2175305086953625/17592186044416) (+.f64 -1 (+.f64 (.f64 b (.f64 b 12)) (.f64 (.f64 b b) (.f64 b b)))) (+.f64 -1 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))))))
(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
(+.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) -1)
(+.f64 -1 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) 1)
(+.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))) -1)
(+.f64 -1 (.f64 a (.f64 (*.f64 a a) (+.f64 a -4))))
(-.f64 (.f64 b (.f64 12 b)) 1)
(+.f64 (.f64 b (.f64 b 12)) -1)
(+.f64 -1 (.f64 b (.f64 b 12)))
-1

Compiler

Compiled 290 to 199 computations (31.4% saved)

soundness126.0ms (1.2%)

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)

end255.0ms (2.3%)

Compiler: Compiled 270 to 170 computations (37% saved)