Details

analyze182.0ms (1.8%)

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)

sample2.7s (27.1%)

Results

2.3s	8256×	body	256	valid
442.0ms	970×	body	256	infinite

Bogosity

preprocess65.0ms (0.6%)

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)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.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)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series16.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 b b) (+.f64 a 3)) 1) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))) (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 2) (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (+.f64 a 3)) 3) (pow.f64 a 6)) (fma.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (.f64 b b) (+.f64 a 3)) (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (.f64 b b) (+.f64 a 3)) (neg.f64 (pow.f64 a 4))) (fma.f64 (.f64 b b) (+.f64 a 3) (neg.f64 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) a) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 b b) (+.f64 a 3))) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 b a) 8) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) (/.f64 (pow.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1) 2) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sqrt.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)) (pow.f64 (hypot.f64 b a) 2)) (hypot.f64 (sqrt.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1)) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b a) 1) (.f64 (.f64 b 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (+.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b a) 3) (pow.f64 (.f64 b 3) 3)) (fma.f64 (.f64 b a) (.f64 b a) (-.f64 (.f64 (.f64 b 3) (.f64 b 3)) (.f64 (.f64 b a) (.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b a) (.f64 b a)) (.f64 (.f64 b 3) (.f64 b 3))) (-.f64 (.f64 b a) (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) 27) b) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a -9) b) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (+.f64 (pow.f64 a 3) 27)) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (fma.f64 a a -9)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (+.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (+.f64 a 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (+.f64 a 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b (+.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (+.f64 a 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 b 3)) (exp.f64 (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (+.f64 a 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a 3) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b (+.f64 a 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 3 (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 b (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) 3) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b a) 1 (.f64 (.f64 b 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b 3)) (cbrt.f64 (.f64 b 3))) (cbrt.f64 (.f64 b 3)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b a)) (cbrt.f64 (.f64 b a))) (cbrt.f64 (.f64 b a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b 3)) (sqrt.f64 (.f64 b 3)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a) (sqrt.f64 b)) (.f64 (sqrt.f64 a) (sqrt.f64 b)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 b) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 b)) (sqrt.f64 b) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b 3))))))

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

326 → 287

Calls

Call 1

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

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

localize37.0ms (0.4%)

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))
✓	0.2b	(.f64 (.f64 b b) (+.f64 3 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 138 to 63 computations (54.3% saved)

series9.0ms (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 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	a	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	a	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite99.0ms (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	5473	53

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-r_binary64`
520×	`distribute-rgt-out_binary64`
489×	`unswap-sqr_binary64`
432×	`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	1229	1140
4	2908	1140
5	5925	1140

Stop Event

1×	node limit

Counts

255 → 211

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

eval330.0ms (3.3%)

Compiler: Compiled 16380 to 9278 computations (43.4% saved)

prune151.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	487	11	498
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	489	11	500

Error

Counts

500 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
	11.3b	(-.f64 (+.f64 (fma.f64 2 (.f64 (.f64 b a) (.f64 b a)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	50.3b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
▶	11.4b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	51.0b	(pow.f64 a 4)
	1.5b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (-.f64 4 (*.f64 4 a))))) 1)
	14.9b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) 3)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.1b	(-.f64 (+.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.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)
▶	50.4b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
	51.3b	(pow.f64 b 4)
	12.1b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 464 to 320 computations (31% saved)

localize68.0ms (0.7%)

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))
✓	0.2b	(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
	0.2b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 165 to 81 computations (50.9% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
815×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	222	21
2	2435	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify195.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1061×	`sqr-pow_binary64`
702×	`fma-def_binary64`
528×	`cube-prod_binary64`
518×	`pow-sqr_binary64`
511×	`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	1246	378
5	2455	378
6	2856	378
7	3019	378
8	3235	378
9	3464	378
10	3770	378
11	4156	378
12	4621	378
13	5241	378
14	6022	378
15	6402	378
16	6716	378
17	6984	378
18	7156	378
19	7292	378

Stop Event

1×	node limit

Counts

45 → 30

Calls

Call 1

Inputs
(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 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)))

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
736×	`add-log-exp_binary64`
736×	`log1p-expm1-u_binary64`
736×	`expm1-log1p-u_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	2005	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify169.0ms (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))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Counts

3 → 60

Calls

15 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
472×	`fma-def_binary64`
437×	`pow-prod-down_binary64`
320×	`pow2_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	264	31
2	3460	28

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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) 4)) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 b a)) 2) (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(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 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(*.f64 (log.f64 (fma.f64 b (*.f64 b 12) (pow.f64 (hypot.f64 b a) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 12) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 12)) 1 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (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) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 4) 1 (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 b a) 4) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (*.f64 b 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 12) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (pow.f64 (hypot.f64 b a) 4))))) (#(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 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 12)) 2) (*.f64 (cbrt.f64 (*.f64 b 12)) b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (*.f64 b 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 3) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b 12)) (*.f64 (sqrt.f64 (*.f64 b 12)) b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 3) (hypot.f64 b a) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 (*.f64 b 12)) 2)) (cbrt.f64 (*.f64 b 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (*.f64 b 12))) (sqrt.f64 (*.f64 b 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 12) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b 12) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (hypot.f64 b a) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 2)) 2) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 2) (*.f64 b (*.f64 b 12)))))))

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

624×	`*-commutative_binary64`
617×	`distribute-rgt-in_binary64`
579×	`associate-+l+_binary64`
576×	`distribute-lft-in_binary64`
575×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	805
1	83	677
2	199	653
3	639	653
4	2117	653
5	3158	653
6	3312	653
7	3537	653
8	3958	653
9	4806	653
10	6460	653
11	7845	653

Stop Event

1×	node limit

Counts

199 → 162

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

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

localize35.0ms (0.3%)

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))
	0.2b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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)))))

rewrite82.0ms (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 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3))) (+.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 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 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 8) (*.f64 (*.f64 (pow.f64 a 4) 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 (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 (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 (neg.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)))) (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))))))

simplify71.0ms (0.7%)

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))

eval402.0ms (4%)

Compiler: Compiled 19089 to 11475 computations (39.9% saved)

prune105.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	655	7	662
Fresh	4	2	6
Picked	1	0	1
Done	1	3	4
Total	661	12	673

Error

Counts

673 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	12.5b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
✓	50.4b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
▶	0.1b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	1.4b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
▶	50.3b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
▶	51.3b	(pow.f64 b 4)
✓	51.0b	(pow.f64 a 4)
	13.5b	(-.f64 (.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a)))) 1)
▶	23.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	11.4b	(-.f64 (+.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 2 (.f64 b b))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	12.7b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)

Compiler

Compiled 353 to 236 computations (33.1% saved)

localize63.0ms (0.6%)

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))
	0.2b	(.f64 (.f64 b b) (+.f64 3 a))
✓	1.1b	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))

Compiler

Compiled 180 to 88 computations (51.1% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))
1.0ms	b	@	inf	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))
1.0ms	a	@	inf	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))
0.0ms	a	@	0	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))
0.0ms	b	@	-inf	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
713×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	181	15
2	2107	15

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify174.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1798×	`unswap-sqr_binary64`
918×	`sqr-pow_binary64`
424×	`pow-sqr_binary64`
394×	`cube-prod_binary64`
383×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	357
1	27	357
2	71	357
3	230	357
4	1009	357
5	1860	357
6	2050	357
7	2181	357
8	2349	357
9	2531	357
10	2766	357
11	3051	357
12	3385	357
13	3811	357
14	4321	357
15	4926	357
16	5182	357
17	5386	357
18	5562	357
19	5664	357
20	5736	357

Stop Event

1×	node limit

Counts

39 → 20

Calls

Call 1

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

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

localize7.0ms (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	@	0	(.f64 12 (.f64 b b))
0.0ms	b	@	inf	(-.f64 (.f64 12 (.f64 b b)) 1)
0.0ms	b	@	0	(-.f64 (.f64 12 (.f64 b b)) 1)
0.0ms	b	@	inf	(.f64 12 (.f64 b b))
0.0ms	b	@	-inf	(-.f64 (.f64 12 (.f64 b b)) 1)

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify169.0ms (1.7%)

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)

localize3.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 26 computations (29.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	178	11
2	2284	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (-.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12)))) (/.f64 (*.f64 (pow.f64 b 4) 144) (-.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (*.f64 b 12) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b b)) (hypot.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 12) (pow.f64 (*.f64 b (*.f64 b 12)) 3)) (/.f64 1 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (/.f64 1 (-.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 b 4)))) (+.f64 (pow.f64 b 12) (pow.f64 (*.f64 b (*.f64 b 12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12))) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (pow.f64 (*.f64 b (*.f64 b 12)) 3)) (+.f64 (pow.f64 b 8) (*.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (pow.f64 (*.f64 b (*.f64 b 12)) 3)) (+.f64 (*.f64 (pow.f64 b 4) 144) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (-.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 12) (pow.f64 (*.f64 b (*.f64 b 12)) 3))) (neg.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 b (*.f64 b 12)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144))) (neg.f64 (-.f64 (pow.f64 b 4) (*.f64 b (*.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (*.f64 b 12) (pow.f64 b 4))))))) (#(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 12) 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 (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 (cbrt.f64 (pow.f64 b 8)) (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))))) (#(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 (*.f64 b b) (*.f64 b b) (*.f64 b (*.f64 b 12)))))))

simplify181.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	19	114
2	41	114
3	100	114
4	270	114
5	925	114
6	1856	114
7	2150	114
8	2335	114
9	2536	114
10	2810	114
11	3172	114
12	3623	114
13	4161	114
14	4793	114
15	5542	114
16	5855	114
17	6077	114
18	6273	114
19	6327	114
20	6349	114
21	7183	114

Stop Event

1×	node limit

Counts

48 → 41

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a)))
✓	2.1b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))

Compiler

Compiled 55 to 30 computations (45.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
495×	`fma-def_binary64`
356×	`pow2_binary64`
245×	`pow1/3_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	289	36
2	3924	36

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
(+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a)))

Outputs

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

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
516×	`distribute-rgt-out_binary64`
514×	`distribute-rgt-in_binary64`
473×	`distribute-lft-in_binary64`
451×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	807
1	90	769
2	222	704
3	718	704
4	2843	704
5	5652	704
6	7342	704
7	7511	704
8	7733	704
9	7977	704

Stop Event

1×	node limit

Counts

188 → 169

Calls

Call 1

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

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

eval239.0ms (2.4%)

Compiler: Compiled 12850 to 7528 computations (41.4% saved)

prune83.0ms (0.8%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	460	7	467
Fresh	0	4	4
Picked	1	0	1
Done	1	6	7
Total	462	17	479

Error

Counts

479 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
▶	12.5b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
▶	12.8b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	1.4b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
✓	50.4b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
	61.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
	11.4b	(-.f64 (+.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 2 (.f64 b b))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	50.4b	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
▶	51.1b	(.f64 (.f64 a a) (*.f64 a a))
	25.0b	-1
✓	51.3b	(pow.f64 b 4)
✓	51.0b	(pow.f64 a 4)
▶	1.3b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 12))) 1)
	13.5b	(-.f64 (.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a)))) 1)
	50.5b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (-.f64 a 4))))
✓	23.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	12.7b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)

Compiler

Compiled 381 to 252 computations (33.9% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 12)))
✓	0.0b	(.f64 2 (.f64 a a))
	0.2b	(.f64 b (.f64 b 12))
	1.1b	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))

Compiler

Compiled 112 to 55 computations (50.9% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 2 (.f64 a a))
0.0ms	b	@	-inf	(+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 12)))
0.0ms	a	@	inf	(.f64 2 (.f64 a a))
0.0ms	a	@	0	(+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 12)))
0.0ms	b	@	inf	(+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 12)))

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`fma-def_binary64`
812×	`log-prod_binary64`
370×	`fma-neg_binary64`
288×	`expm1-udef_binary64`
288×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	348	33
2	4562	31

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

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fma.f64 (cbrt.f64 (pow.f64 a 8)) (cbrt.f64 (pow.f64 a 4)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 2 (*.f64 a a) (*.f64 b b)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 8)) (cbrt.f64 (pow.f64 a 4)) (*.f64 (*.f64 (*.f64 b b) (+.f64 (fma.f64 2 (*.f64 a a) (*.f64 b b)) 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) (*.f64 b b)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (*.f64 a a) (*.f64 b (hypot.f64 b (*.f64 a (sqrt.f64 2))))) (hypot.f64 (*.f64 a a) (*.f64 b (hypot.f64 b (*.f64 a (sqrt.f64 2))))) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b 12)) (*.f64 (sqrt.f64 (*.f64 b 12)) b) (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) (*.f64 b b)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (hypot.f64 b (*.f64 a (sqrt.f64 2)))) (*.f64 b (hypot.f64 b 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fma.f64 (*.f64 (*.f64 a a) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 b b) (+.f64 (fma.f64 2 (*.f64 a a) (*.f64 b b)) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 (*.f64 b b) (+.f64 (fma.f64 2 (*.f64 a a) (*.f64 b b)) 12)) 1))))))

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

640×	`*-commutative_binary64`
617×	`distribute-rgt-in_binary64`
579×	`associate-+l+_binary64`
576×	`distribute-lft-in_binary64`
575×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	601
1	81	509
2	193	485
3	633	485
4	2092	485
5	3139	485
6	3293	485
7	3518	485
8	3939	485
9	4787	485
10	6441	485
11	7826	485

Stop Event

1×	node limit

Counts

166 → 148

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 4 computations (69.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`pow1_binary64`
312×	`add-sqr-sqrt_binary64`
306×	`*-un-lft-identity_binary64`
304×	`add-log-exp_binary64`
304×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	81	4
2	969	4

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 a 4)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 a 4)) (+.f64 1 (pow.f64 a 4))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 a 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 a 4)) (+.f64 1 (pow.f64 a 4))) 1) (+.f64 (+.f64 1 (pow.f64 a 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 4 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (*.f64 (log.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 4 (log.f64 a)))) (sqrt.f64 (*.f64 4 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 4 (log.f64 a))) 2)) (cbrt.f64 (*.f64 4 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 a 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 a))) 3))))))

simplify189.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
662×	`cube-prod_binary64`
659×	`pow-sqr_binary64`
522×	`fabs-mul_binary64`
384×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	8	48
2	14	48
3	25	48
4	50	48
5	137	48
6	489	48
7	1141	48
8	1265	48
9	1434	48
10	1633	48
11	1904	48
12	2261	48
13	2710	48
14	3241	48
15	3873	48
16	4624	48
17	4934	48
18	5162	48
19	5358	48
20	5410	48
21	5432	48
22	6266	48
23	7179	48
24	7581	48
25	7845	48

Stop Event

1×	node limit

Counts

44 → 32

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
744×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
729×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	157	10
2	2093	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify167.0ms (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

33 → 24

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))

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))
✓	0.1b	(.f64 a (.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
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)))))
0.0ms	a	@	0	(.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	@	-inf	(.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4)))))

rewrite69.0ms (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 a (+.f64 4 (*.f64 a (+.f64 a -4)))))
(.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))

Outputs

((#(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))))))

((#(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))))))

simplify128.0ms (1.3%)

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	941	236
5	1957	236
6	3762	236
7	3895	236
8	4111	236
9	4530	236
10	5317	236
11	6723	236
12	7183	236
13	7736	236

Stop Event

1×	node limit

Counts

114 → 108

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1416	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify179.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	19	114
2	41	114
3	100	114
4	270	114
5	925	114
6	1856	114
7	2150	114
8	2335	114
9	2536	114
10	2810	114
11	3172	114
12	3623	114
13	4161	114
14	4793	114
15	5542	114
16	5855	114
17	6077	114
18	6273	114
19	6327	114
20	6349	114
21	7183	114

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

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

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

eval153.0ms (1.5%)

Compiler: Compiled 7813 to 4746 computations (39.3% saved)

prune62.0ms (0.6%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	365	4	369
Fresh	1	5	6
Picked	0	1	1
Done	1	9	10
Total	367	19	386

Error

Counts

386 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	24.1b	(-.f64 (.f64 a (.f64 4 a)) 1)
✓	51.1b	(.f64 (.f64 a a) (*.f64 a a))
	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	12.5b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
✓	12.8b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	1.4b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
	25.0b	-1
	12.5b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 2 (.f64 a (.f64 b (.f64 a b))))) (.f64 b (.f64 b 12))) 1)
✓	50.4b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
	61.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
✓	51.0b	(pow.f64 a 4)
	13.1b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
	1.4b	(-.f64 (fma.f64 (.f64 a a) (.f64 a a) (.f64 (.f64 b b) (+.f64 (fma.f64 2 (.f64 a a) (.f64 b b)) 12))) 1)
	13.5b	(-.f64 (.f64 a (.f64 a (fma.f64 b (.f64 b 2) (.f64 a a)))) 1)
✓	51.3b	(pow.f64 b 4)
	50.5b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (-.f64 a 4))))
✓	23.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	50.4b	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
✓	12.7b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)

Compiler

Compiled 232 to 156 computations (32.8% saved)

regimes102.0ms (1%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	a
16.0ms	b
13.0ms	(+.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)))))
12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 656 to 371 computations (43.4% saved)

regimes96.0ms (1%)

Counts

29 → 1

Calls

Call 1

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

Calls

8 calls:

15.0ms	b
14.0ms	a
12.0ms	(+.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)))))
12.0ms	(+.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)))))
9.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 603 to 338 computations (43.9% saved)

regimes67.0ms (0.7%)

Counts

27 → 1

Calls

Call 1

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

15.0ms	a
13.0ms	b
12.0ms	(+.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)))))
8.0ms	(*.f64 b b)
6.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Results

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

Compiler

Compiled 467 to 262 computations (43.9% saved)

regimes58.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	b
13.0ms	(*.f64 b b)
12.0ms	a
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.4b	1	`a`
1.4b	1	`b`
0.1b	2	`(*.f64 b b)`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 272 to 159 computations (41.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.9832763409192455e-5	0.0004980794290651162

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes52.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
1.4b	1	`a`
1.4b	1	`b`
0.3b	2	`(*.f64 b b)`
0.3b	2	`(*.f64 b b)`

Compiler

Compiled 226 to 131 computations (42% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7586940199179093e-18	6.042961460612781e-16

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes76.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	b
25.0ms	a
11.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
1.0b	3	`b`
1.4b	2	`(*.f64 b b)`
1.4b	2	`(*.f64 b b)`

Compiler

Compiled 167 to 97 computations (41.9% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.007735164084180274	0.022317693184223057
27.0ms	-5059895.41253429	-113.9928570277134

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes67.0ms (0.7%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	a
22.0ms	b
9.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
1.0b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 126 to 74 computations (41.3% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.007735164084180274	0.022317693184223057
28.0ms	-5059895.41253429	-113.9928570277134

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes64.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	a
22.0ms	b
9.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
1.1b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 116 to 68 computations (41.4% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.007735164084180274	0.022317693184223057
28.0ms	-5059895.41253429	-113.9928570277134

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes64.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	b
21.0ms	a
9.0ms	(*.f64 b b)
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.5b	3	`a`
2.0b	3	`b`
2.1b	2	`(*.f64 b b)`
2.1b	2	`(*.f64 b b)`

Compiler

Compiled 106 to 63 computations (40.6% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.04362973846154433	0.9673574054453954
27.0ms	-5059895.41253429	-113.9928570277134

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes34.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	a
7.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.5b	3	`a`
12.5b	1	`b`
12.5b	1	`(*.f64 b b)`

Compiler

Compiled 91 to 53 computations (41.8% saved)

bsearch53.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.1132276148193087	64.98160889847902
26.0ms	-1.0160871201093965e-5	-5.143613687217458e-10

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes31.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	a
6.0ms	(*.f64 b b)
6.0ms	b

Results

Error	Segments	Branch
12.0b	3	`a`
13.1b	1	`b`
13.1b	1	`(*.f64 b b)`

Compiler

Compiled 75 to 42 computations (44% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.1132276148193087	64.98160889847902
28.0ms	-20840405.14509768	-0.0066224205834151265

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes25.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.1b	3	`a`
13.1b	1	`b`
13.1b	1	`(*.f64 b b)`

Compiler

Compiled 64 to 36 computations (43.8% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.1132276148193087	64.98160889847902
29.0ms	-1.0160871201093965e-5	-5.143613687217458e-10

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes30.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	a
8.0ms	(*.f64 b b)
6.0ms	b

Results

Error	Segments	Branch
12.1b	3	`a`
23.9b	1	`b`
22.7b	3	`(*.f64 b b)`

Compiler

Compiled 53 to 29 computations (45.3% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.1132276148193087	64.98160889847902
29.0ms	-20840405.14509768	-0.0066224205834151265

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes22.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	a
4.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.7b	3	`a`
23.9b	1	`b`
23.9b	1	`(*.f64 b b)`

Compiler

Compiled 44 to 25 computations (43.2% saved)

bsearch93.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	0.1132276148193087	64.98160889847902
28.0ms	-20840405.14509768	-0.0066224205834151265

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes16.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
4.0ms	b

Results

Error	Segments	Branch
13.5b	3	`a`
24.1b	1	`b`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch74.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	1.1406387212773312e-7	0.015544759707455249
27.0ms	-20840405.14509768	-0.0066224205834151265

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.9b remaining (-3.8%)

Threshold costs -0.9b (-3.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a
3.0ms	b

Results

Error	Segments	Branch
24.1b	1	`a`
24.1b	1	`b`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
23×	`*-commutative_binary64`
16×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	781
1	170	781
2	187	781
3	191	781
4	193	781

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 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.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)
(if (<=.f64 (.f64 b b) 7378697629483821/73786976294838206464) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 1298074214633707/649037107316853453566312041152512) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 b -5433021329503801/1073741824) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1) (if (<=.f64 b 8918037014313965/1152921504606846976) (-.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)))
(if (<=.f64 b -5433021329503801/1073741824) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (if (<=.f64 b 8918037014313965/1152921504606846976) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (-.f64 (.f64 b (*.f64 b (fma.f64 b b 12))) 1)))
(if (<=.f64 b -5433021329503801/1073741824) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 8918037014313965/1152921504606846976) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))
(if (<=.f64 b -5433021329503801/1073741824) (pow.f64 b 4) (if (<=.f64 b 785963495510733/18014398509481984) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) (pow.f64 b 4)))
(if (<=.f64 a -5997919699600197/590295810358705651712) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1)))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (+.f64 4 (.f64 a (-.f64 a 4)))) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (.f64 (.f64 a a) (+.f64 4 (.f64 a (-.f64 a 4))))))
(if (<=.f64 a -5997919699600197/590295810358705651712) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a (+.f64 a -4))) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 a -4)))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 16832856457573/147573952589676412928) (-.f64 (.f64 a (.f64 4 a)) 1) (.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 a (.f64 4 a)) 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 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a a) 2)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))) -1)
(+.f64 -1 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a a) 2)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)) -1)
(+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
(if (<=.f64 (.f64 b b) 7378697629483821/73786976294838206464) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 7378697629483821/73786976294838206464) (+.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3))))) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1))
(if (<=.f64 (.f64 b b) 7378697629483821/73786976294838206464) (+.f64 -1 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))))
(if (<=.f64 (.f64 b b) 1298074214633707/649037107316853453566312041152512) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 1298074214633707/649037107316853453566312041152512) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1))
(if (<=.f64 (.f64 b b) 1298074214633707/649037107316853453566312041152512) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12)))))
(if (<=.f64 b -5433021329503801/1073741824) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1) (if (<=.f64 b 8918037014313965/1152921504606846976) (-.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)))
(if (<=.f64 b -5433021329503801/1073741824) (+.f64 (+.f64 (.f64 b (.f64 b 12)) (pow.f64 b 4)) -1) (if (<=.f64 b 8918037014313965/1152921504606846976) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (+.f64 (.f64 b (*.f64 b 12)) (pow.f64 b 4)) -1)))
(if (<=.f64 b -5433021329503801/1073741824) (+.f64 -1 (+.f64 (.f64 b (.f64 b 12)) (pow.f64 b 4))) (if (<=.f64 b 8918037014313965/1152921504606846976) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (+.f64 (.f64 b (*.f64 b 12)) (pow.f64 b 4)))))
(if (<=.f64 b -5433021329503801/1073741824) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (if (<=.f64 b 8918037014313965/1152921504606846976) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (-.f64 (.f64 b (*.f64 b (fma.f64 b b 12))) 1)))
(if (<=.f64 b -5433021329503801/1073741824) (+.f64 (.f64 b (.f64 b (fma.f64 b b 12))) -1) (if (<=.f64 b 8918037014313965/1152921504606846976) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (.f64 b (*.f64 b (fma.f64 b b 12))) -1)))
(if (<=.f64 b -5433021329503801/1073741824) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 12)))) (if (<=.f64 b 8918037014313965/1152921504606846976) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (.f64 b (*.f64 b (fma.f64 b b 12))))))
(if (<=.f64 b -5433021329503801/1073741824) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 8918037014313965/1152921504606846976) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))
(if (<=.f64 b -5433021329503801/1073741824) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 8918037014313965/1152921504606846976) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1)))
(if (<=.f64 b -5433021329503801/1073741824) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 8918037014313965/1152921504606846976) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (.f64 (*.f64 b b) (fma.f64 b b 12)))))
(if (<=.f64 b -5433021329503801/1073741824) (pow.f64 b 4) (if (<=.f64 b 785963495510733/18014398509481984) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) (pow.f64 b 4)))
(if (<=.f64 b -5433021329503801/1073741824) (pow.f64 b 4) (if (<=.f64 b 785963495510733/18014398509481984) (+.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) -1) (pow.f64 b 4)))
(if (<=.f64 b -5433021329503801/1073741824) (pow.f64 b 4) (if (<=.f64 b 785963495510733/18014398509481984) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4)))))) (pow.f64 b 4)))
(if (<=.f64 a -5997919699600197/590295810358705651712) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1)))
(if (<=.f64 a -5997919699600197/590295810358705651712) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 (.f64 (.f64 b b) 12) -1) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1)))
(if (<=.f64 a -5997919699600197/590295810358705651712) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 -1 (.f64 (.f64 b b) 12)) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (+.f64 4 (.f64 a (-.f64 a 4)))) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (.f64 (.f64 a a) (+.f64 4 (.f64 a (-.f64 a 4))))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 (.f64 (.f64 b b) 12) -1) (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 -1 (.f64 (.f64 b b) 12)) (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))))
(if (<=.f64 a -5997919699600197/590295810358705651712) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -5997919699600197/590295810358705651712) (+.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) -1) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 (.f64 (.f64 b b) 12) -1) (+.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) -1)))
(if (<=.f64 a -5997919699600197/590295810358705651712) (+.f64 -1 (.f64 a (.f64 a (.f64 a (+.f64 a -4))))) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 -1 (.f64 (.f64 b b) 12)) (+.f64 -1 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a (+.f64 a -4))) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 a -4)))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a (+.f64 a -4))) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 (.f64 (.f64 b b) 12) -1) (.f64 (.f64 a a) (.f64 a (+.f64 a -4)))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a (+.f64 a -4))) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 -1 (.f64 (.f64 b b) 12)) (.f64 (.f64 a a) (.f64 a (+.f64 a -4)))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 8158909502532619/72057594037927936) (-.f64 (.f64 12 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 (.f64 (.f64 b b) 12) -1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 8158909502532619/72057594037927936) (+.f64 -1 (.f64 (.f64 b b) 12)) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 16832856457573/147573952589676412928) (-.f64 (.f64 a (.f64 4 a)) 1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 16832856457573/147573952589676412928) (+.f64 (.f64 a (.f64 a 4)) -1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -2797151829174521/134217728) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 16832856457573/147573952589676412928) (+.f64 -1 (.f64 a (.f64 a 4))) (.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 a (.f64 4 a)) 1)
(+.f64 (.f64 a (.f64 a 4)) -1)
(+.f64 -1 (.f64 a (.f64 a 4)))
-1

Compiler

Compiled 570 to 371 computations (34.9% saved)

soundness105.0ms (1%)

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)

end232.0ms (2.3%)

Compiler: Compiled 538 to 319 computations (40.7% saved)