Details

analyze420.0ms (4%)

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 (20.9%)

Results

1.7s	8256×	body	256	valid
385.0ms	1032×	body	256	infinite

Bogosity

preprocess71.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	354	74
3	1251	74
4	3113	66
5	5502	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

0.2b

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite166.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

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

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1571
1	387	1543
2	1301	1486
3	4805	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 (+.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))
(-.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)))))

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

localize40.0ms (0.4%)

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)

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite124.0ms (1.2%)

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))))))

simplify131.0ms (1.3%)

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)))))

eval493.0ms (4.7%)

Compiler: Compiled 14451 to 8625 computations (40.3% saved)

prune82.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	430	13	443
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	432	13	445

Error

Counts

445 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	51.8b	(pow.f64 b 4)
	1.9b	(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))))
	10.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	10.1b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	51.4b	(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
	53.3b	(pow.f64 a 4)
	11.7b	(-.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)
▶	1.8b	(-.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)
	5.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	10.8b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	10.0b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	52.6b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Compiler

Compiled 530 to 368 computations (30.6% saved)

localize55.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 112 to 46 computations (58.9% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite119.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	355	44
2	5214	44

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

119 → 106

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`prod-diff_binary64`
575×	`fma-def_binary64`
552×	`log-prod_binary64`
304×	`fma-neg_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	258	36
2	3552	36

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg_binary64`
729×	`cancel-sign-sub-inv_binary64`
722×	`fma-def_binary64`
718×	`distribute-rgt-neg-in_binary64`
680×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	398
1	57	387
2	126	371
3	380	344
4	1197	327
5	3957	327
6	7841	327

Stop Event

1×	node limit

Counts

215 → 200

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

localize4.0ms (0%)

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series6.0ms (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 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	0	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	inf	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	-inf	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

rewrite92.0ms (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	52
1	371	50
2	5387	50

Stop Event

1×	node limit

Counts

2 → 71

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

Outputs

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

940×	`difference-of-squares_binary64`
487×	`associate-l_binary64`
429×	`distribute-lft-out_binary64`
368×	`distribute-rgt-out_binary64`
350×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1090
1	125	970
2	340	893
3	1188	875
4	3110	875
5	5417	875

Stop Event

1×	node limit

Counts

119 → 99

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a)))
✓	0.0b	(*.f64 2 (pow.f64 a 2))
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
✓	1.1b	(.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2))

Compiler

Compiled 74 to 57 computations (23% saved)

series13.0ms (0.1%)

Counts

4 → 39

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2))
2.0ms	a	@	0	(*.f64 2 (pow.f64 a 2))
1.0ms	b	@	0	(.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2))
1.0ms	b	@	inf	(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
1.0ms	a	@	inf	(.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2))

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
682×	`fma-def_binary64`
341×	`fma-neg_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	346	65
2	4549	59

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-lft-out_binary64`
742×	`*-commutative_binary64`
653×	`fma-def_binary64`
539×	`distribute-rgt-out_binary64`
464×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	736
1	85	558
2	213	538
3	725	469
4	2944	469
5	4476	469
6	5080	469
7	5440	469
8	5621	469
9	5816	469
10	7490	469

Stop Event

1×	node limit

Counts

204 → 192

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

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

eval495.0ms (4.8%)

Compiler: Compiled 18153 to 11560 computations (36.3% saved)

prune130.0ms (1.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	711	12	723
Fresh	4	4	8
Picked	1	0	1
Done	2	2	4
Total	718	18	736

Error

Counts

736 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	51.8b	(pow.f64 b 4)
▶	10.0b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	11.7b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	51.7b	(+.f64 (.f64 b (.f64 2 (.f64 b (.f64 a a)))) (pow.f64 b 4))
	21.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	21.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	51.5b	(+.f64 (.f64 12 (.f64 b b)) (pow.f64 b 4))
	11.7b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
▶	21.6b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.7b	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a -4) 4)) a -1)
	10.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	51.5b	(.f64 b (.f64 b (fma.f64 b b 12)))
	22.6b	-1
▶	53.3b	(pow.f64 a 4)
▶	13.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
	52.6b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Compiler

Compiled 437 to 302 computations (30.9% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
✓	0.1b	(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
✓	0.2b	(.f64 b (fma.f64 b b (.f64 2 (*.f64 a a))))
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 137 to 63 computations (54% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`log-prod_binary64`
431×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
265×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	386	61
2	5499	61

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify183.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-lft-out_binary64`
598×	`distribute-rgt-out_binary64`
555×	`unswap-sqr_binary64`
544×	`associate-l_binary64`
381×	`sqr-pow_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	1257
1	114	1219
2	295	1183
3	982	1183
4	3075	1181
5	5320	1181
6	5503	1181
7	5685	1181
8	5911	1181
9	6161	1181
10	7728	1181

Stop Event

1×	node limit

Counts

156 → 112

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
604×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1748	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
452×	`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	349	171
6	1281	171
7	2177	171
8	2341	171
9	2525	171
10	2733	171
11	3032	171
12	3423	171
13	3906	171
14	4472	171
15	5158	171
16	5991	171
17	6383	171
18	6671	171
19	6947	171
20	7019	171
21	7055	171
22	7996	171

Stop Event

1×	node limit

Counts

70 → 50

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
848×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	182	28
2	2379	28

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

622×	`distribute-rgt-neg-in_binary64`
587×	`fma-def_binary64`
480×	`distribute-lft-neg-in_binary64`
472×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	309
1	31	291
2	62	279
3	145	279
4	396	279
5	1445	279
6	4304	279

Stop Event

1×	node limit

Counts

125 → 102

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 14 computations (44% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary64`
768×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
751×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	178	18
2	2203	18

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 b 4) 144) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4))) (/.f64 (pow.f64 b 8) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (+.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (+.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1728 (pow.f64 b 6)) (pow.f64 b 12)) (/.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (*.f64 12 (pow.f64 b 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (/.f64 1 (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (*.f64 12 (pow.f64 b 6))) (+.f64 (*.f64 1728 (pow.f64 b 6)) (pow.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4)) (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1728 (pow.f64 b 6)) (pow.f64 b 12)) (-.f64 (+.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (*.f64 12 (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1728 (pow.f64 b 6)) (pow.f64 b 12)) (+.f64 (pow.f64 b 8) (-.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 12 (pow.f64 b 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1728 (pow.f64 b 6)) (pow.f64 b 12))) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (*.f64 12 (pow.f64 b 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8))) (neg.f64 (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (-.f64 (pow.f64 b 4) (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 (*.f64 b b)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (cbrt.f64 (*.f64 12 (*.f64 b b))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 8)) (cbrt.f64 (pow.f64 b 4)) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 b) b (pow.f64 b 4))))))

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	198
1	19	198
2	41	198
3	100	198
4	270	198
5	925	198
6	1856	198
7	2150	198
8	2335	198
9	2536	198
10	2810	198
11	3172	198
12	3623	198
13	4161	198
14	4793	198
15	5542	198
16	5855	198
17	6077	198
18	6273	198
19	6327	198
20	6349	198
21	7183	198

Stop Event

1×	node limit

Counts

73 → 54

Calls

Call 1

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

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

eval167.0ms (1.6%)

Compiler: Compiled 7473 to 4756 computations (36.4% saved)

prune74.0ms (0.7%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	345	4	349
Fresh	2	9	11
Picked	0	1	1
Done	1	5	6
Total	348	19	367

Error

Counts

367 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	51.8b	(pow.f64 b 4)
	21.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
▶	21.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	51.5b	(+.f64 (.f64 12 (.f64 b b)) (pow.f64 b 4))
	11.7b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
✓	21.6b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.7b	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a -4) 4)) a -1)
▶	10.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	51.5b	(.f64 b (.f64 b (fma.f64 b b 12)))
	22.6b	-1
	51.5b	(.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))
✓	53.3b	(pow.f64 a 4)
✓	13.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
▶	13.6b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
	11.1b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b a))))) 1)
	51.7b	(+.f64 (.f64 b (.f64 2 (.f64 b (.f64 a a)))) (pow.f64 b 4))
▶	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
	52.6b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Compiler

Compiled 385 to 257 computations (33.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 57

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`pow1_binary64`
537×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	131	11
2	1667	11

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

715×	`distribute-rgt-out_binary64`
496×	`fma-neg_binary64`
415×	`cancel-sign-sub-inv_binary64`
342×	`unswap-sqr_binary64`
334×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	120
1	15	120
2	25	120
3	44	120
4	99	120
5	322	120
6	1662	120
7	4222	120

Stop Event

1×	node limit

Counts

71 → 49

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 56 to 30 computations (46.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`fma-def_binary64`
572×	`log-prod_binary64`
346×	`fma-neg_binary64`
315×	`pow2_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	260	36
2	3700	36

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg_binary64`
729×	`cancel-sign-sub-inv_binary64`
722×	`fma-def_binary64`
718×	`distribute-rgt-neg-in_binary64`
680×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	398
1	57	387
2	126	371
3	380	344
4	1197	327
5	3957	327
6	7841	327

Stop Event

1×	node limit

Counts

226 → 210

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify173.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 35

Calls

Call 1

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

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

eval133.0ms (1.3%)

Compiler: Compiled 5730 to 3771 computations (34.2% saved)

prune64.0ms (0.6%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	358	6	364
Fresh	2	6	8
Picked	0	1	1
Done	0	10	10
Total	360	23	383

Error

Counts

383 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	51.8b	(pow.f64 b 4)
	11.1b	(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b a))))) 1)
	22.6b	-1
	21.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
✓	21.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
	61.7b	(.f64 12 (.f64 b b))
✓	51.5b	(+.f64 (.f64 12 (.f64 b b)) (pow.f64 b 4))
✓	21.6b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.7b	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a -4) 4)) a -1)
✓	10.9b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	51.5b	(.f64 b (.f64 b (fma.f64 b b 12)))
	51.5b	(.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))
✓	53.3b	(pow.f64 a 4)
✓	13.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
✓	13.6b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
	51.5b	(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))
	51.7b	(+.f64 (.f64 b (.f64 2 (.f64 b (.f64 a a)))) (pow.f64 b 4))
	61.7b	(.f64 b (.f64 12 b))
	21.6b	(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
	11.7b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
✓	11.7b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
	52.6b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Compiler

Compiled 265 to 179 computations (32.5% saved)

regimes118.0ms (1.1%)

Counts

37 → 1

Calls

Call 1

Inputs
-1
-1
-1
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (+.f64 (.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 b 4)
(pow.f64 a 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (.f64 12 (.f64 b b)) (pow.f64 b 4))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(+.f64 (.f64 b (.f64 2 (.f64 b (.f64 a a)))) (pow.f64 b 4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a -4) 4)) a -1)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) -1))))

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:

19.0ms	b
19.0ms	a
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
13.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
12.0ms	(*.f64 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 654 to 376 computations (42.5% saved)

regimes83.0ms (0.8%)

Counts

35 → 1

Calls

Call 1

Inputs
-1
-1
-1
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
(-.f64 (+.f64 (.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 b 4)
(pow.f64 a 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (.f64 12 (.f64 b b)) (pow.f64 b 4))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(+.f64 (.f64 b (.f64 2 (.f64 b (.f64 a a)))) (pow.f64 b 4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a -4) 4)) a -1)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

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

Calls

5 calls:

19.0ms	a
18.0ms	b
13.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
12.0ms	(*.f64 b b)
7.0ms	(-.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 541 to 308 computations (43.1% saved)

regimes88.0ms (0.8%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

(-.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:

41.0ms	b
16.0ms	a
15.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 359 to 202 computations (43.7% saved)

bsearch77.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.7419708548741345e-49	7.786960160972547e-48
31.0ms	-0.013927186704820183	-9.02557239558437e-6

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes231.0ms (2.2%)

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

81.0ms	a
77.0ms	b
27.0ms	(*.f64 b b)
27.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.2b	3	`a`
1.4b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 285 to 166 computations (41.8% saved)

bsearch118.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	20101.867228994684	3697468485.251235
57.0ms	-0.014201792539656631	-2.870733151892262e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes139.0ms (1.3%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

47.0ms	a
42.0ms	b
21.0ms	(*.f64 b b)
21.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.3b	3	`a`
1.5b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 262 to 152 computations (42% saved)

bsearch112.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	20101.867228994684	3697468485.251235
57.0ms	-0.014201792539656631	-2.870733151892262e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes129.0ms (1.2%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (+.f64 (*.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:

38.0ms	a
37.0ms	b
26.0ms	(*.f64 b b)
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.5b	3	`a`
1.6b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 239 to 138 computations (42.3% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.1334771949129025e-10	4.015952694922711e-8
29.0ms	-5.3921310816193586e-9	-9.252990012708984e-14

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes96.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

33.0ms	b
32.0ms	a
13.0ms	(*.f64 b b)
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.5b	3	`a`
1.6b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 202 to 115 computations (43.1% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.1334771949129025e-10	4.015952694922711e-8
28.0ms	-5.3921310816193586e-9	-9.252990012708984e-14

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes73.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
11.7b	1	`a`
1.9b	3	`b`
2.2b	2	`(*.f64 b b)`
2.2b	2	`(*.f64 b b)`

Compiler

Compiled 192 to 110 computations (42.7% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5405.922560258285	13394.689724074946
29.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes82.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	b
17.0ms	(*.f64 b b)
16.0ms	(*.f64 b b)
12.0ms	a

Results

Error	Segments	Branch
11.7b	1	`a`
2.0b	3	`b`
2.2b	2	`(*.f64 b b)`
2.2b	2	`(*.f64 b b)`

Compiler

Compiled 183 to 105 computations (42.6% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5405.922560258285	13394.689724074946
28.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes61.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	b
16.0ms	(*.f64 b b)
11.0ms	a

Results

Error	Segments	Branch
11.7b	1	`a`
2.0b	3	`b`
2.2b	2	`(*.f64 b b)`

Compiler

Compiled 170 to 98 computations (42.4% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	5405.922560258285	13394.689724074946
29.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes53.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	b
14.0ms	(*.f64 b b)
9.0ms	a

Results

Error	Segments	Branch
11.7b	1	`a`
2.0b	3	`b`
2.2b	2	`(*.f64 b b)`

Compiler

Compiled 157 to 89 computations (43.3% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5405.922560258285	13394.689724074946
29.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes46.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	b
12.0ms	(*.f64 b b)
8.0ms	a

Results

Error	Segments	Branch
13.3b	1	`a`
3.6b	3	`b`
3.8b	2	`(*.f64 b b)`

Compiler

Compiled 104 to 57 computations (45.2% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5405.922560258285	13394.689724074946
29.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes44.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	b
12.0ms	(*.f64 b b)
8.0ms	a

Results

Error	Segments	Branch
13.3b	1	`a`
3.6b	3	`b`
3.8b	2	`(*.f64 b b)`

Compiler

Compiled 91 to 53 computations (41.8% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	5405.922560258285	13394.689724074946
29.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes41.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	b
11.0ms	(*.f64 b b)
9.0ms	a

Results

Error	Segments	Branch
13.6b	1	`a`
3.9b	3	`b`
4.1b	2	`(*.f64 b b)`

Compiler

Compiled 80 to 48 computations (40% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	5405.922560258285	13394.689724074946
30.0ms	-9.716537731068365e+23	-2069016.6331369511

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes32.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	b
7.0ms	a
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
21.6b	1	`a`
10.8b	3	`b`
10.8b	2	`(*.f64 b b)`

Compiler

Compiled 49 to 30 computations (38.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00019396652951092006	2.6468297047610276

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes60.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	b
5.0ms	a
4.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes17.0ms (0.2%)

Accuracy

Total -40.1b remaining (-177.3%)

Threshold costs -40.1b (-177.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
-1

Calls

3 calls:

7.0ms	b
4.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.6b	1	`a`
22.6b	1	`b`
22.6b	1	`(*.f64 b b)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	965
1	180	965
2	198	965
3	202	965
4	204	965

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 b -125444945708295/9007199254740992) (-.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 4586273568665769/26328072917139296674479506920917608079723773850137277813577744384) (-.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 a -8186776011467609/576460752303423488) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) (if (<=.f64 a 1381389797393061/68719476736) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)))
(if (<=.f64 a -8186776011467609/576460752303423488) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) (if (<=.f64 a 1381389797393061/68719476736) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (.f64 (pow.f64 a 3) (+.f64 -4 a))))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (+.f64 (.f64 12 (*.f64 b b)) (pow.f64 b 4))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (.f64 b (*.f64 b (fma.f64 b b 12)))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) 1) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) 1) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 (.f64 b b) 7378697629483821/36893488147419103232) (-.f64 (.f64 4 (.f64 a a)) 1) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)))
(-.f64 (.f64 12 (.f64 b b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))))
(if (<=.f64 b -125444945708295/9007199254740992) (-.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 4586273568665769/26328072917139296674479506920917608079723773850137277813577744384) (-.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 -125444945708295/9007199254740992) (+.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 b 4586273568665769/26328072917139296674479506920917608079723773850137277813577744384) (+.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 b -125444945708295/9007199254740992) (+.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 4586273568665769/26328072917139296674479506920917608079723773850137277813577744384) (+.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 a -8186776011467609/576460752303423488) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) (if (<=.f64 a 1381389797393061/68719476736) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)))
(if (<=.f64 a -8186776011467609/576460752303423488) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1) (if (<=.f64 a 1381389797393061/68719476736) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 b 4)) -1) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)) -1)))
(if (<=.f64 a -8186776011467609/576460752303423488) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (if (<=.f64 a 1381389797393061/68719476736) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 b 4))) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)))))
(if (<=.f64 a -8186776011467609/576460752303423488) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) (if (<=.f64 a 1381389797393061/68719476736) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (.f64 (pow.f64 a 3) (+.f64 -4 a))))
(if (<=.f64 a -8186776011467609/576460752303423488) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1) (if (<=.f64 a 1381389797393061/68719476736) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 b 4)) -1) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -8186776011467609/576460752303423488) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (if (<=.f64 a 1381389797393061/68719476736) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 b 4))) (.f64 (pow.f64 a 3) (+.f64 a -4))))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))) -1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))))))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))) -1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2))))))) (if (<=.f64 a 8769855019997257/77371252455336267181195264) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 a 2)))))))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (+.f64 (.f64 12 (*.f64 b b)) (pow.f64 b 4))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (pow.f64 b 4) (.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 (pow.f64 b 4) (.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (.f64 b (*.f64 b (fma.f64 b b 12)))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (.f64 b (*.f64 b (fma.f64 b b 12)))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (.f64 b (*.f64 b (fma.f64 b b 12)))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (.f64 b b)))))
(if (<=.f64 b -971653773106836534198272) (pow.f64 b 4) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (.f64 b b)))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b)))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b)))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) 1) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) -1) (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b)))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a a)))) (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b)))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) 1) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) -1) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a a)))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (-.f64 (.f64 (.f64 a a) (.f64 a a)) 1) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 (.f64 (.f64 a a) (.f64 a a)) -1) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 b -971653773106836534198272) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) (if (<=.f64 b 1485968678465147/274877906944) (+.f64 -1 (.f64 (.f64 a a) (.f64 a a))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 (.f64 b b) 7378697629483821/36893488147419103232) (-.f64 (.f64 4 (.f64 a a)) 1) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)))
(if (<=.f64 (.f64 b b) 7378697629483821/36893488147419103232) (+.f64 (.f64 4 (.f64 a a)) -1) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)))
(if (<=.f64 (.f64 b b) 7378697629483821/36893488147419103232) (+.f64 -1 (.f64 4 (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)))
(-.f64 (.f64 12 (.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) 12) -1)
(+.f64 -1 (.f64 (.f64 b b) 12))
-1

Compiler

Compiled 694 to 435 computations (37.3% saved)

soundness129.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 975 to 567 computations (41.8% saved)

end265.0ms (2.5%)

Compiler: Compiled 662 to 373 computations (43.7% saved)