Details

analyze147.0ms (1.2%)

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)

sample2.2s (17.3%)

Results

1.6s	8256×	body	256	valid
356.0ms	992×	body	256	infinite

Bogosity

preprocess79.0ms (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)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.2b

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

▶

0.0b

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite143.0ms (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	4861	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 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3))
(+.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 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 (-.f64 (.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (.f64 b b) (+.f64 a 3))) (pow.f64 a 4)) (-.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) a) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 b b) (+.f64 a 3))) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (neg.f64 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (.f64 (neg.f64 (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) (fma.f64 (neg.f64 (pow.f64 a 3)) 1 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) (+.f64 (neg.f64 (pow.f64 a 3)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 a 3)) (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(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))))))

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
544×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
402×	`fma-neg_binary64`
348×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1571
1	386	1543
2	1298	1486
3	4827	1480

Stop Event

1×	node limit

Counts

326 → 288

Calls

Call 1

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

localize265.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 138 to 63 computations (54.3% saved)

series20.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 (.f64 a a) (-.f64 1 a))
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

rewrite135.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	420	63
2	6136	63

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify283.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1400
1	179	1360
2	501	1290
3	1961	1277
4	5770	1277

Stop Event

1×	node limit

Counts

194 → 155

Calls

Call 1

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

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

eval663.0ms (5.3%)

Compiler: Compiled 14451 to 8620 computations (40.4% saved)

prune199.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	432	11	443
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	434	11	445

Error

Counts

445 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	51.9b	(+.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)))
	1.5b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (neg.f64 (pow.f64 a 3)) -1))
▶	1.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	52.0b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
	34.3b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	10.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	11.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	10.9b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
▶	52.7b	(pow.f64 a 4)
	52.4b	(pow.f64 b 4)

Compiler

Compiled 424 to 306 computations (27.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 112 to 46 computations (58.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	355	41
2	5214	41

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1098×	`distribute-lft-in_binary64`
881×	`distribute-rgt-in_binary64`
667×	`distribute-rgt-out_binary64`
505×	`associate-+l+_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	915
1	153	891
2	404	819
3	1585	817
4	4020	817
5	5882	817
6	5975	817
7	6094	817
8	6253	817
9	6465	817
10	6744	817

Stop Event

1×	node limit

Counts

135 → 121

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	212	21
2	2946	21

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1159×	`distribute-rgt-out_binary64`
675×	`associate-r_binary64`
466×	`fma-def_binary64`
452×	`associate-+l+_binary64`
442×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	243
1	42	234
2	91	225
3	263	211
4	846	205
5	2832	205
6	3038	205
7	3300	205
8	4145	205
9	5868	205
10	6402	205

Stop Event

1×	node limit

Counts

138 → 129

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize16.0ms (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))
1.0ms	a	@	-inf	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

rewrite70.0ms (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))))))

simplify195.0ms (1.6%)

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))

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 112 to 61 computations (45.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite108.0ms (0.9%)

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	49
1	371	47
2	5387	47

Stop Event

1×	node limit

Counts

2 → 90

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-l_binary64`
518×	`fma-neg_binary64`
458×	`fma-def_binary64`
434×	`unsub-neg_binary64`
408×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	941
1	151	841
2	431	811
3	1509	806
4	3974	806
5	7508	806

Stop Event

1×	node limit

Counts

138 → 128

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

eval645.0ms (5.2%)

Compiler: Compiled 13687 to 8692 computations (36.5% saved)

prune286.0ms (2.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	523	9	532
Fresh	3	3	6
Picked	1	0	1
Done	1	3	4
Total	528	15	543

Error

Counts

543 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	35.4b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
✓	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	20.9b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	10.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a))))) 1)
✓	52.0b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
▶	10.9b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
▶	52.4b	(pow.f64 b 4)
	10.9b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	2.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	20.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	1.5b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (neg.f64 (pow.f64 a 3)) -1))
▶	21.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
✓	52.7b	(pow.f64 a 4)

Compiler

Compiled 427 to 306 computations (28.3% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series81.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
70.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
2.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (neg.f64 (pow.f64 a 3)) -1))
1.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)
1.0ms	a	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (neg.f64 (pow.f64 a 3)) -1))
1.0ms	a	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (neg.f64 (pow.f64 a 3)) -1))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`prod-diff_binary64`
460×	`log-prod_binary64`
278×	`pow2_binary64`
276×	`pow-prod-down_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	261	28
2	3094	28

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

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

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

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

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-r_binary64`
584×	`associate-l_binary64`
568×	`+-commutative_binary64`
419×	`fma-neg_binary64`
390×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	1640
1	627	1583
2	2278	1518
3	7942	1497

Stop Event

1×	node limit

Counts

170 → 168

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify194.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 133

Calls

Call 1

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

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

localize41.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite95.0ms (0.8%)

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))))))

simplify152.0ms (1.2%)

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))

localize7.0ms (0.1%)

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

eval313.0ms (2.5%)

Compiler: Compiled 9093 to 6449 computations (29.1% saved)

prune126.0ms (1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	485	3	488
Fresh	1	6	7
Picked	0	1	1
Done	1	6	7
Total	487	16	503

Error

Counts

503 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.4b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
✓	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	20.9b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	10.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a))))) 1)
✓	52.0b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
	21.8b	-1
✓	21.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	11.5b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
✓	10.9b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
✓	52.4b	(pow.f64 b 4)
	2.1b	(fma.f64 (.f64 4 (.f64 a a)) a (+.f64 -1 (pow.f64 (hypot.f64 a b) 4)))
▶	10.9b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
▶	2.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
▶	20.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	52.7b	(pow.f64 a 4)

Compiler

Compiled 390 to 277 computations (29% saved)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 66 to 24 computations (63.6% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
459×	`fma-def_binary64`
383×	`pow-prod-down_binary64`
292×	`pow2_binary64`
214×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	243	16
2	3202	14

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 a b) 8) (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a)))) (/.f64 (*.f64 16 (pow.f64 a 4)) (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 4)) (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 (pow.f64 a 6) (pow.f64 (hypot.f64 a b) 12)) (/.f64 1 (fma.f64 (*.f64 a (*.f64 a 4)) (fma.f64 a (*.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 4))) (pow.f64 (hypot.f64 a b) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 16 (pow.f64 a 4))) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a (*.f64 a 4)) (fma.f64 a (*.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 4))) (pow.f64 (hypot.f64 a b) 8)) (fma.f64 64 (pow.f64 a 6) (pow.f64 (hypot.f64 a b) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a))) (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 16 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 a 6) (pow.f64 (hypot.f64 a b) 12)) (fma.f64 (*.f64 a (*.f64 a 4)) (fma.f64 a (*.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 4))) (pow.f64 (hypot.f64 a b) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 a 6) (pow.f64 (hypot.f64 a b) 12)) (fma.f64 16 (pow.f64 a 4) (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 a (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 16 (pow.f64 a 4))) (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 a 6) (pow.f64 (hypot.f64 a b) 12))) (neg.f64 (fma.f64 (*.f64 a (*.f64 a 4)) (fma.f64 a (*.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 4))) (pow.f64 (hypot.f64 a b) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 16 (pow.f64 a 4)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16 (pow.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 8))) (fma.f64 a (*.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a 4)) (fma.f64 a (*.f64 a 4) (neg.f64 (pow.f64 (hypot.f64 a b) 4))) (pow.f64 (hypot.f64 a b) 8)) (fma.f64 64 (pow.f64 a 6) (pow.f64 (hypot.f64 a b) 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (*.f64 -4 (*.f64 a a))) (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 16 (pow.f64 a 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a b) 4))) (pow.f64 (exp.f64 a) (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4)) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a b) 4))) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4)))) (exp.f64 (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) (*.f64 a 4)) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4)))) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 a 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 a b) 2) (pow.f64 (hypot.f64 a b) 2) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 a b) 4) 1 (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 4)) 1 (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 a b) 4) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) 4) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 a 4))) (cbrt.f64 (*.f64 16 (pow.f64 a 4))) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) (cbrt.f64 (*.f64 a (*.f64 a 4))) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 a b) (pow.f64 (hypot.f64 a b) 3) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 2) (*.f64 a 2) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) a (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 a b) 3) (hypot.f64 a b) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 4) 5/6) (pow.f64 (cbrt.f64 (hypot.f64 a b)) 2) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) 1) a (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (sqrt.f64 a)) (sqrt.f64 a) (pow.f64 (hypot.f64 a b) 4))))))

simplify191.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

678×	`distribute-rgt-in_binary64`
632×	`distribute-lft-in_binary64`
628×	`*-commutative_binary64`
499×	`associate-+l+_binary64`
465×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	425
1	80	425
2	192	401
3	576	401
4	1994	401
5	3212	401
6	3603	401
7	4472	401
8	6787	401
9	7023	401
10	7333	401
11	7791	401

Stop Event

1×	node limit

Counts

87 → 79

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	0.1b	(.f64 12 (.f64 b b))

Compiler

Compiled 20 to 11 computations (45% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify254.0ms (2%)

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)

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 120 to 77 computations (35.8% saved)

series16.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
408×	`pow-prod-down_binary64`
275×	`prod-diff_binary64`
274×	`pow2_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	218	33
2	2872	33

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 4) b) (*.f64 (*.f64 a (+.f64 a a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 b a)) (*.f64 (+.f64 a a) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a a) (*.f64 b a)) (*.f64 4 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 a 4)) (*.f64 b (*.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b a) 4) (*.f64 (*.f64 b a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b a) (+.f64 a a)) (*.f64 (*.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b a) (fma.f64 8 (pow.f64 a 3) 64)) (fma.f64 (+.f64 a a) (fma.f64 a 2 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b a) (-.f64 16 (*.f64 4 (*.f64 a a)))) (+.f64 4 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 a 4) (*.f64 b (*.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 b a) (*.f64 (+.f64 a a) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a a) (*.f64 b a) (*.f64 4 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) b (*.f64 (*.f64 a (+.f64 a a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b a) 4 (*.f64 (*.f64 b a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b a) (+.f64 a a) (*.f64 (*.f64 b a) 4))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (fma.f64 a 2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 4) 1) (*.f64 (*.f64 a (+.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 2 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a 2 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a 4) 3) (pow.f64 (*.f64 a (+.f64 a a)) 3)) (+.f64 (pow.f64 (*.f64 a 4) 2) (-.f64 (pow.f64 (*.f64 a (+.f64 a a)) 2) (*.f64 (*.f64 a 4) (*.f64 a (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a 4) 2) (pow.f64 (*.f64 a (+.f64 a a)) 2)) (-.f64 (*.f64 a 4) (*.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 a 3) 64) a) (fma.f64 (+.f64 a a) (fma.f64 a 2 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 4 (*.f64 a a))) a) (+.f64 4 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 8 (pow.f64 a 3) 64)) (fma.f64 (+.f64 a a) (fma.f64 a 2 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 16 (*.f64 4 (*.f64 a a)))) (+.f64 4 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (fma.f64 a 2 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a 2 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a 2 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a 2 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (fma.f64 a 2 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (fma.f64 a 2 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (fma.f64 a 2 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a 2 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 4 (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 a a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 a (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 a a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a a) a (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 2 (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) (*.f64 (cbrt.f64 (+.f64 a a)) 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 a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a a)) (*.f64 (sqrt.f64 (+.f64 a a)) a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) 1 (*.f64 (*.f64 a (+.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a a))) 2) (cbrt.f64 (*.f64 a (+.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 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (+.f64 a a))) (sqrt.f64 (*.f64 a (+.f64 a a))) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 4)) (sqrt.f64 (*.f64 a 4)) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (+.f64 a a))) (sqrt.f64 (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a a) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 a a)))))))

simplify210.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1734×	`distribute-rgt-in_binary64`
810×	`fma-def_binary64`
559×	`associate-l_binary64`
434×	`distribute-lft-in_binary64`
355×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	789
1	74	705
2	203	678
3	490	678
4	1989	678
5	3303	678
6	3989	678
7	5405	678
8	5546	678
9	5681	678
10	5837	678
11	6007	678
12	6205	678

Stop Event

1×	node limit

Counts

176 → 136

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 23 computations (61.7% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`fma-def_binary64`
508×	`log-prod_binary64`
362×	`pow-prod-down_binary64`
263×	`pow2_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	212	47
2	3087	47

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

Outputs
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(sqrt.f64 (-.f64 a (.f64 a a))) (sqrt.f64 (-.f64 a (.f64 a a))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (+.f64 (fma.f64 a a (pow.f64 a 4)) (pow.f64 a 3))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a 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egg-rr> (2) ((x fma.f64 -1 (.f64 a a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (.f64 a (neg.f64 a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) 1) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (sqrt.f64 a)) (sqrt.f64 a) a)))))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
604×	`fma-def_binary64`
410×	`fma-neg_binary64`
362×	`difference-of-squares_binary64`
360×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	515
1	49	488
2	122	470
3	374	438
4	1278	432
5	3444	432
6	7449	432

Stop Event

1×	node limit

Counts

295 → 268

Calls

Call 1

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

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

localize129.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6)))
✓	0.2b	(pow.f64 (*.f64 a b) 2)
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))
✓	41.1b	(/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))

Compiler

Compiled 228 to 131 computations (42.5% saved)

series21.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(pow.f64 (*.f64 a b) 2)
2.0ms	a	@	inf	(/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))
2.0ms	b	@	inf	(/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))
2.0ms	b	@	0	(/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))
1.0ms	a	@	0	(/.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`fma-def_binary64`
385×	`fma-neg_binary64`
348×	`expm1-udef_binary64`
348×	`log1p-udef_binary64`
224×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	448	45
2	6389	45

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)))

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

(*.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6)))

Outputs

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

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-/r*_binary64`
478×	`associate-/l*_binary64`
418×	`associate--l+_binary64`
314×	`cancel-sign-sub-inv_binary64`
291×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2070
1	618	1562
2	2729	1249

Stop Event

1×	node limit

Counts

196 → 163

Calls

Call 1

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

Outputs
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 a 4))
(fma.f64 b (.f64 b (.f64 a (+.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2))) (pow.f64 a 2))) 1) (pow.f64 b 4))) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (*.f64 a a)) 1) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 a a)) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2))) (pow.f64 a 4))) (.f64 2 (/.f64 1 (pow.f64 a 2)))) (pow.f64 b 6))) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 2))) (pow.f64 a 2))) 1) (pow.f64 b 4))) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (*.f64 a a)) 1) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 a a)) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (+.f64 (.f64 1/4 (pow.f64 a 4)) (pow.f64 b 4)))) (+.f64 (pow.f64 a 4) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 2)))))))
(-.f64 (fma.f64 -1/4 (pow.f64 a 4) (fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 1/4 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (pow.f64 a 4) (.f64 (neg.f64 (.f64 a a)) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))))))
(+.f64 (-.f64 (fma.f64 (pow.f64 a 4) -1/4 (fma.f64 (.f64 b b) (.f64 2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4)))) (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 a 4)))
(+.f64 (fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4))) (fma.f64 (pow.f64 a 4) -1/4 (pow.f64 a 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (+.f64 (.f64 -1/4 (pow.f64 a 4)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (pow.f64 a 4)) (pow.f64 b 4))))))) (+.f64 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (+.f64 (pow.f64 a 4) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))))))) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 -1/4 (pow.f64 a 4) (fma.f64 -1/8 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/8 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/4 (pow.f64 a 4) (pow.f64 b 4))))))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))))) (fma.f64 -1 (/.f64 (.f64 (.f64 a a) (-.f64 (.f64 (pow.f64 a 4) 0) (+.f64 (pow.f64 a 4) (.f64 (neg.f64 (.f64 a a)) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))))))) (.f64 b b)) (+.f64 (pow.f64 a 4) (.f64 (neg.f64 (.f64 a a)) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 2 (.f64 a a)) (fma.f64 (pow.f64 a 4) -1/4 (+.f64 (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4)) (.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 0))))) (+.f64 (-.f64 (pow.f64 a 4) (+.f64 (pow.f64 a 4) (pow.f64 a 4))) (-.f64 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 a 6)) (.f64 b b)) (.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (neg.f64 (-.f64 (pow.f64 a 4) (+.f64 (pow.f64 a 4) (pow.f64 a 4))))))))
(+.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (fma.f64 (pow.f64 a 4) -1/4 (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4))) (fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (-.f64 (pow.f64 a 4) (/.f64 (pow.f64 a 6) (.f64 b b))))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (+.f64 (.f64 1/4 (pow.f64 a 4)) (pow.f64 b 4)))) (+.f64 (pow.f64 a 4) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 2)))))))
(-.f64 (fma.f64 -1/4 (pow.f64 a 4) (fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 1/4 (pow.f64 a 4) (pow.f64 b 4)))) (+.f64 (pow.f64 a 4) (.f64 (neg.f64 (.f64 a a)) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))))))
(+.f64 (-.f64 (fma.f64 (pow.f64 a 4) -1/4 (fma.f64 (.f64 b b) (.f64 2 (*.f64 a a)) (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4)))) (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 a 4)))
(+.f64 (fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4))) (fma.f64 (pow.f64 a 4) -1/4 (pow.f64 a 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (+.f64 (.f64 -1/4 (pow.f64 a 4)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (pow.f64 a 4)) (pow.f64 b 4))))))) (+.f64 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (+.f64 (pow.f64 a 4) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))))))) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 a 2) (.f64 -1 (pow.f64 a 2)))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 -1/4 (pow.f64 a 4) (fma.f64 -1/8 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/8 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/4 (pow.f64 a 4) (pow.f64 b 4))))))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))))) (fma.f64 -1 (/.f64 (.f64 (.f64 a a) (-.f64 (.f64 (pow.f64 a 4) 0) (+.f64 (pow.f64 a 4) (.f64 (neg.f64 (.f64 a a)) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))))))) (.f64 b b)) (+.f64 (pow.f64 a 4) (.f64 (neg.f64 (.f64 a a)) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 2 (.f64 a a)) (fma.f64 (pow.f64 a 4) -1/4 (+.f64 (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4)) (.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 0))))) (+.f64 (-.f64 (pow.f64 a 4) (+.f64 (pow.f64 a 4) (pow.f64 a 4))) (-.f64 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 a 6)) (.f64 b b)) (.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (neg.f64 (-.f64 (pow.f64 a 4) (+.f64 (pow.f64 a 4) (pow.f64 a 4))))))))
(+.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (fma.f64 (pow.f64 a 4) -1/4 (fma.f64 (pow.f64 a 4) 1/4 (pow.f64 b 4))) (fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (-.f64 (pow.f64 a 4) (/.f64 (pow.f64 a 6) (.f64 b b))))))
(pow.f64 b 4)
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 b 2))) (pow.f64 a 2)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (.f64 a (+.f64 a a)) (pow.f64 b 4))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 b 2))) (pow.f64 b 2)))))) (+.f64 (.f64 (-.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 b 2))) (pow.f64 a 2)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (*.f64 a a)) 1) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 a a)) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 b 2))) (pow.f64 b 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 b 2))) (pow.f64 b 4))) (.f64 2 (/.f64 1 (pow.f64 b 2)))))) (+.f64 (.f64 (-.f64 (pow.f64 b 2) (*.f64 -1 (pow.f64 b 2))) (pow.f64 a 2)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 a a) (neg.f64 (.f64 a a))) (*.f64 a a)) 1) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (pow.f64 a 4) (fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 a a)) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 (-.f64 (pow.f64 b 2) (.f64 -1 (pow.f64 b 2))) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (-.f64 (.f64 a a) (neg.f64 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 2 (*.f64 b b)) (pow.f64 a 4))
(fma.f64 b (.f64 b (.f64 a (+.f64 a a))) (pow.f64 a 4))
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(fma.f64 (pow.f64 a 6) (*.f64 b b) (pow.f64 a 8))
(fma.f64 (*.f64 b b) (pow.f64 a 6) (pow.f64 a 8))
(+.f64 (.f64 (pow.f64 a 6) (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 a 4)) (+.f64 (pow.f64 a 8) (.f64 (pow.f64 a 2) (+.f64 (pow.f64 b 6) (+.f64 (.f64 1/8 (pow.f64 b 6)) (*.f64 -1/8 (pow.f64 b 6))))))))
(fma.f64 (.f64 a a) (pow.f64 b 6) (fma.f64 (pow.f64 a 6) (.f64 b b) (pow.f64 a 8)))
(fma.f64 (.f64 a a) (pow.f64 b 6) (fma.f64 (.f64 b b) (pow.f64 a 6) (pow.f64 a 8)))

eval583.0ms (4.7%)

Compiler: Compiled 24818 to 15031 computations (39.4% saved)

prune210.0ms (1.7%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	842	6	848
Fresh	2	2	4
Picked	1	0	1
Done	1	10	11
Total	846	18	864

Error

Counts

864 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.9b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	20.8b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)
✓	10.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a))))) 1)
✓	52.0b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
✓	21.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	1.9b	(-.f64 (fma.f64 (*.f64 a a) 4 (pow.f64 (hypot.f64 a b) 4)) 1)
	11.5b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
✓	10.9b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
✓	52.4b	(pow.f64 b 4)
	11.5b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (*.f64 a (neg.f64 a))))) 1)
	21.8b	-1
✓	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	2.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
	10.9b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 a (.f64 b (.f64 2 (*.f64 a b))))) 1)
✓	20.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	39.6b	(-.f64 (+.f64 (/.f64 (pow.f64 b 8) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))) (.f64 4 (+.f64 (.f64 a a) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	52.7b	(pow.f64 a 4)

Compiler

Compiled 255 to 184 computations (27.8% saved)

regimes155.0ms (1.3%)

Counts

31 → 1

Calls

Call 1

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

26.0ms	b
26.0ms	a
20.0ms	(+.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)))))
19.0ms	(+.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 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 642 to 388 computations (39.6% saved)

regimes105.0ms (0.8%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	a
23.0ms	b
18.0ms	(+.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 b b)
10.0ms	(-.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 464 to 280 computations (39.7% saved)

regimes101.0ms (0.8%)

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

53.0ms	b
20.0ms	a
16.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.2b	1	`a`
0.1b	3	`b`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 282 to 170 computations (39.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.1941168467902564e-8	5.084576305892409e-6

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes97.0ms (0.8%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

50.0ms	b
18.0ms	a
17.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	1	`a`
0.4b	3	`b`
0.7b	2	`(*.f64 b b)`

Compiler

Compiled 257 to 159 computations (38.1% saved)

bsearch88.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.00022790605184571682	402330.199586291
44.0ms	-0.0022549005090895715	-1.5267769997691916e-7

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes107.0ms (0.9%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

48.0ms	b
18.0ms	a
15.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	1	`a`
0.4b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 239 to 148 computations (38.1% saved)

bsearch91.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.00022790605184571682	402330.199586291
45.0ms	-4.491687497420263e-9	-2.674889435616592e-14

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes133.0ms (1.1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	b
46.0ms	a
15.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.3b	3	`a`
0.7b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 222 to 140 computations (36.9% saved)

bsearch91.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	642058.8816559085	13079717965538.426
45.0ms	-4.491687497420263e-9	-2.674889435616592e-14

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes142.0ms (1.1%)

Counts

18 → 3

Calls

Call 1

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

Calls

4 calls:

54.0ms	a
47.0ms	b
15.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.3b	3	`a`
0.8b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 207 to 131 computations (36.7% saved)

bsearch111.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	642058.8816559085	13079717965538.426
56.0ms	-4.491687497420263e-9	-2.674889435616592e-14

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes106.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	b
17.0ms	a
16.0ms	(*.f64 b b)
16.0ms	(*.f64 b b)

Results

Error	Segments	Branch
10.9b	1	`a`
1.5b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 173 to 111 computations (35.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	412239607513.23596	1.7107902205802864e+26

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes58.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	a
16.0ms	b
9.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
10.9b	1	`a`
10.9b	1	`b`
10.9b	1	`(*.f64 b b)`
10.9b	1	`(*.f64 b b)`

Compiler

Compiled 163 to 104 computations (36.2% saved)

regimes55.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
10.9b	1	`a`
10.9b	1	`b`
10.9b	1	`(*.f64 b b)`
10.9b	1	`(*.f64 b b)`

Compiler

Compiled 135 to 86 computations (36.3% saved)

regimes42.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
10.9b	1	`a`
10.9b	1	`b`
10.9b	1	`(*.f64 b b)`

Compiler

Compiled 107 to 69 computations (35.5% saved)

regimes34.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	a
11.0ms	b
6.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 62 to 40 computations (35.5% saved)

regimes27.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	a
9.0ms	b
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
20.9b	1	`a`
20.9b	1	`b`
20.9b	1	`(*.f64 b b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
9.0ms	b

Results

Error	Segments	Branch
20.9b	1	`a`
20.9b	1	`b`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes17.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
-1

Outputs
-1

Calls

2 calls:

8.0ms	a
7.0ms	b

Results

Error	Segments	Branch
21.8b	1	`a`
21.8b	1	`b`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

33×	`+-commutative_binary64`
27×	`*-commutative_binary64`
18×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	574
1	162	574
2	184	574
3	190	574
4	193	574

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(if (<=.f64 (.f64 b b) 944473296573929/9444732965739290427392) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
(if (<=.f64 b -1299861643839147/576460752303423488) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 8408249222495037/36893488147419103232) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))) 1)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 8408249222495037/36893488147419103232) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (.f64 a a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))) 1)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5515243797636923/8589934592) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a))))) 1) (pow.f64 b 4)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5515243797636923/8589934592) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) (pow.f64 b 4)))
(if (<=.f64 (.f64 b b) 500000000000) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 a (.f64 b (.f64 2 (*.f64 a b))))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a 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 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))))
(if (<=.f64 (.f64 b b) 944473296573929/9444732965739290427392) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
(if (<=.f64 (.f64 b b) 944473296573929/9444732965739290427392) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3))))) -1))
(if (<=.f64 (.f64 b b) 944473296573929/9444732965739290427392) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3)))))))
(if (<=.f64 b -1299861643839147/576460752303423488) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 8408249222495037/36893488147419103232) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))) 1)))
(if (<=.f64 b -1299861643839147/576460752303423488) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 8408249222495037/36893488147419103232) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))) -1)))
(if (<=.f64 b -1299861643839147/576460752303423488) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 8408249222495037/36893488147419103232) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))))))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 8408249222495037/36893488147419103232) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (.f64 a a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))) 1)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 8408249222495037/36893488147419103232) (+.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (.f64 a a))))) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))) -1)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 8408249222495037/36893488147419103232) (+.f64 -1 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (.f64 a a)))))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 a a))))))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5515243797636923/8589934592) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a))))) 1) (pow.f64 b 4)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 5515243797636923/8589934592) (+.f64 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a))))) -1) (pow.f64 b 4)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 5515243797636923/8589934592) (+.f64 -1 (+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (-.f64 a (*.f64 a a)))))) (pow.f64 b 4)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5515243797636923/8589934592) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) (pow.f64 b 4)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 5515243797636923/8589934592) (+.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) -1) (pow.f64 b 4)))
(if (<=.f64 b -2715058494635787/604462909807314587353088) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 5515243797636923/8589934592) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4)))))) (pow.f64 b 4)))
(if (<=.f64 (.f64 b b) 500000000000) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (pow.f64 b 4))
(if (<=.f64 (.f64 b b) 500000000000) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (pow.f64 b 4))
(if (<=.f64 (.f64 b b) 500000000000) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
(+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))) -1)
(+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))))
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 a (.f64 b (.f64 2 (*.f64 a b))))) 1)
(+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 a (.f64 b (.f64 2 (*.f64 a b))))) -1)
(+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 a (.f64 b (.f64 2 (*.f64 a b))))))
(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
(+.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) -1)
(+.f64 -1 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) -1)
(+.f64 -1 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))))
(-.f64 (.f64 12 (.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) 12) -1)
(+.f64 -1 (.f64 (.f64 b b) 12))
(-.f64 (.f64 4 (.f64 a a)) 1)
(+.f64 (.f64 4 (.f64 a a)) -1)
(+.f64 -1 (.f64 4 (.f64 a a)))
-1

Compiler

Compiled 423 to 279 computations (34% saved)

soundness130.0ms (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)

end346.0ms (2.8%)

Compiler: Compiled 395 to 231 computations (41.5% saved)