Details

analyze303.0ms (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	59.3%	15.7%	7
25%	51.5%	23.5%	8
25%	42.9%	32.1%	9
28.1%	26.9%	45%	10
31.6%	19.7%	48.7%	11
33.4%	10.4%	56.2%	12
35.2%	7.7%	57.1%	13
36.1%	5.2%	58.7%	14

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample1.5s (22.5%)

Results

1.4s	8256×	body	128	valid
71.0ms	505×	body	128	invalid

preprocess39.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

421×	`fma-neg_binary64`
351×	`associate--l+_binary64`
326×	`associate-+l+_binary64`
312×	`unsub-neg_binary64`
293×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	350	74
3	1237	74
4	3107	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 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (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 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.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)

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
320×	`+-commutative_binary64`
277×	`sub-neg_binary64`
265×	`associate-l_binary64`
250×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	696	37
4	2292	33
5	4251	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 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -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))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -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
▶	0.1b	(-.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	(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))

Status

Error

Program

▶

0.1b

(-.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

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

localize19.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

series18.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite101.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`fma-def_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`
242×	`fma-neg_binary64`
146×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	299	48
2	3844	48

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

918×	`fma-def_binary64`
518×	`associate-l_binary64`
507×	`associate-r_binary64`
214×	`associate-/r*_binary64`
164×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1553
1	385	1462
2	1399	1346

Stop Event

1×	node limit

Counts

265 → 217

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 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 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series10.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	a	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

194×	`add-sqr-sqrt_binary64`
190×	`pow1_binary64`
189×	`*-un-lft-identity_binary64`
183×	`add-log-exp_binary64`
183×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	390	53

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-r_binary64`
514×	`distribute-rgt-out_binary64`
489×	`unswap-sqr_binary64`
306×	`fma-def_binary64`
183×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1315
1	131	1233
2	366	1154
3	1229	1140
4	2814	1140

Stop Event

1×	node limit

Counts

188 → 144

Calls

Call 1

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

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

eval215.0ms (3.2%)

Compiler: Compiled 11951 to 6942 computations (41.9% saved)

prune87.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	355	6	361
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	357	6	363

Error

Counts

363 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
▶	10.4b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	1.0b	(fma.f64 4 (neg.f64 (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
▶	0.4b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -4))))) 1)
▶	8.8b	(-.f64 (+.f64 (fma.f64 (.f64 b b) (.f64 2 (.f64 a a)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	9.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 282 to 196 computations (30.5% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 a (+.f64 4 (.f64 a -4)))
1.0ms	a	@	0	(.f64 a (.f64 a (+.f64 4 (*.f64 a -4))))
1.0ms	a	@	inf	(.f64 a (.f64 a (+.f64 4 (*.f64 a -4))))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -4)))))
0.0ms	a	@	-inf	(.f64 a (+.f64 4 (.f64 a -4)))

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`log1p-udef_binary64`
169×	`add-sqr-sqrt_binary64`
165×	`pow1_binary64`
164×	`*-un-lft-identity_binary64`
159×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	338	40
2	4591	40

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

499×	`unswap-sqr_binary64`
448×	`associate-l_binary64`
414×	`distribute-rgt-out_binary64`
357×	`distribute-lft-out_binary64`
286×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	754
1	126	725
2	296	675
3	962	672
4	2664	672
5	4786	672
6	4962	672

Stop Event

1×	node limit

Counts

133 → 115

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	0.1b	(.f64 b (.f64 b 12))
✓	0.1b	(.f64 b (.f64 b 12))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite31.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
415×	`add-log-exp_binary64`
415×	`log1p-expm1-u_binary64`
415×	`expm1-log1p-u_binary64`
407×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1141	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
445×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
271×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2276	84
9	2460	84
10	2668	84
11	2959	84
12	3350	84
13	3830	84
14	4391	84

Stop Event

1×	node limit

Counts

25 → 15

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))

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))

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 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)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.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))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

186×	`add-sqr-sqrt_binary64`
183×	`pow1_binary64`
182×	`*-un-lft-identity_binary64`
176×	`add-log-exp_binary64`
176×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	371	27

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

485×	`associate-l_binary64`
416×	`distribute-lft-out_binary64`
365×	`distribute-rgt-out_binary64`
311×	`fma-def_binary64`
309×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	532
1	117	476
2	332	454
3	1159	450
4	2974	450

Stop Event

1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
✓	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`fma-def_binary64`
293×	`fma-neg_binary64`
233×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	271	20
2	3876	20

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

461×	`difference-of-squares_binary64`
446×	`fma-neg_binary64`
430×	`fma-def_binary64`
348×	`cancel-sign-sub-inv_binary64`
197×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	427
1	77	365
2	200	361
3	613	361
4	1936	361
5	4322	361

Stop Event

1×	node limit

Counts

96 → 90

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 8 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 (fma.f64 (.f64 b b) (.f64 2 (.f64 a a)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 2 (.f64 a a))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.5b	(fma.f64 (.f64 b b) (.f64 2 (*.f64 a a)) (pow.f64 a 4))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`
92×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	202	17
2	2194	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

703×	`sqr-pow_binary64`
318×	`*-commutative_binary64`
300×	`unswap-sqr_binary64`
288×	`cube-prod_binary64`
282×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	357
1	27	357
2	67	357
3	218	357
4	957	357
5	1795	357
6	2049	357
7	2177	357
8	2355	357
9	2537	357
10	2770	357
11	3053	357
12	3386	357
13	3808	357
14	4320	357
15	4925	357

Stop Event

1×	node limit

Counts

47 → 28

Calls

Call 1

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

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

eval558.0ms (8.2%)

Compiler: Compiled 20577 to 13147 computations (36.1% saved)

prune184.0ms (2.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	691	9	700
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	696	10	706

Error

Counts

706 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.8b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
	9.5b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	19.0b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	11.0b	(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
▶	19.5b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	8.8b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	10.4b	(-.f64 (pow.f64 a 4) 1)
	11.1b	(-.f64 (pow.f64 b 4) 1)
✓	1.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

Compiler

Compiled 307 to 215 computations (30% saved)

localize31.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 2 (.f64 a a))
	0.0b	(+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))
✓	2.4b	(.f64 (.f64 b b) (.f64 2 (.f64 a a)))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
662×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
81×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	163	12
2	1909	12

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

744×	`unswap-sqr_binary64`
577×	`sqr-pow_binary64`
283×	`*-commutative_binary64`
274×	`fabs-mul_binary64`
248×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	312
1	20	312
2	52	312
3	172	312
4	813	312
5	1388	312
6	1454	312
7	1554	312
8	1674	312
9	1796	312
10	1943	312
11	3091	312
12	3320	312
13	3618	312
14	3949	312
15	4364	312
16	4980	312

Stop Event

1×	node limit

Counts

38 → 16

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series1.0ms (0%)

Counts

1 → 12

Calls

3 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 12 (.f64 b b))

rewrite29.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`
402×	`expm1-log1p-u_binary64`
393×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
445×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
271×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2276	84
9	2460	84
10	2668	84
11	2959	84
12	3350	84
13	3830	84
14	4391	84

Stop Event

1×	node limit

Counts

23 → 13

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))

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))

localize15.0ms (0.2%)

Local error

Found 8 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 2 (.f64 b b))
	0.0b	(+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.7b	(.f64 a (.f64 a (.f64 2 (.f64 b b))))
✓	1.2b	(.f64 a (.f64 2 (*.f64 b b)))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
93×	`associate-r_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	163	22
2	1929	22

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1252×	`unswap-sqr_binary64`
764×	`sqr-pow_binary64`
313×	`*-commutative_binary64`
276×	`associate-l_binary64`
257×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	552
1	26	552
2	64	552
3	196	552
4	947	552
5	1617	552
6	1683	552
7	1783	552
8	1903	552
9	2025	552
10	2172	552
11	2336	552
12	2525	552
13	2738	552
14	2968	552
15	3212	552
16	3477	552
17	3756	552
18	4056	552
19	4370	552
20	4440	552

Stop Event

1×	node limit

Counts

78 → 34

Calls

Call 1

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

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

localize3.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 b (.f64 b 12))
	0.0b	(+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12)))
✓	0.0b	(+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12)))
	0.1b	(.f64 b (.f64 b 12))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
84×	`add-log-exp_binary64`
83×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	178	11
2	2266	11

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

615×	`sqr-pow_binary64`
390×	`fma-def_binary64`
342×	`unswap-sqr_binary64`
288×	`cube-prod_binary64`
246×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	19	114
2	41	114
3	97	114
4	271	114
5	922	114
6	1856	114
7	2150	114
8	2335	114
9	2536	114
10	2810	114
11	3170	114
12	3623	114
13	4152	114
14	4784	114

Stop Event

1×	node limit

Counts

50 → 43

Calls

Call 1

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

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

eval191.0ms (2.8%)

Compiler: Compiled 8911 to 5441 computations (38.9% saved)

prune84.0ms (1.2%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	281	9	290
Fresh	0	4	4
Picked	0	1	1
Done	2	3	5
Total	283	17	300

Error

Counts

300 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.0b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
✓	19.5b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	10.8b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
▶	42.9b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
✓	10.4b	(-.f64 (pow.f64 a 4) 1)
	11.1b	(-.f64 (pow.f64 b 4) 1)
	19.0b	(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	19.0b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
✓	1.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
▶	10.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	11.0b	(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
▶	18.8b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	9.5b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	42.9b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
	9.8b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 b (.f64 b 12))) 1)
	19.0b	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)

Compiler

Compiled 770 to 486 computations (36.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`fma-def_binary64`
417×	`prod-diff_binary64`
178×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
163×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	212	21
2	2939	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-r_binary64`
466×	`fma-def_binary64`
452×	`associate-+l+_binary64`
240×	`distribute-rgt-in_binary64`
235×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	243
1	42	234
2	91	225
3	267	211
4	790	205
5	2724	205
6	2922	205
7	3179	205
8	4024	205

Stop Event

1×	node limit

Counts

130 → 121

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.2b	(.f64 a (.f64 2 (*.f64 b b)))
	0.7b	(.f64 a (.f64 a (.f64 2 (.f64 b b))))
	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
	0.0b	(.f64 2 (.f64 b b))
✓	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
	0.7b	(.f64 a (.f64 a (.f64 2 (.f64 b b))))
	1.2b	(.f64 a (.f64 2 (*.f64 b b)))
	1.2b	(.f64 (.f64 b b) (+.f64 3 a))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`fma-def_binary64`
225×	`fma-neg_binary64`
212×	`expm1-udef_binary64`
212×	`log1p-udef_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	254	17
2	3612	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1080×	`fma-def_binary64`
470×	`unswap-sqr_binary64`
395×	`*-commutative_binary64`
308×	`sqr-pow_binary64`
232×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	471
1	58	393
2	165	342
3	425	338
4	1264	338
5	2298	338
6	3315	338
7	3571	338
8	3671	338
9	3804	338
10	3994	338
11	4241	338
12	4568	338
13	4961	338

Stop Event

1×	node limit

Counts

71 → 59

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

localize23.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 2 (.f64 b b))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))
	0.0b	(+.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))
	0.0b	(+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))
✓	0.1b	(.f64 b (.f64 b 3))
✓	0.1b	(.f64 b (.f64 b a))
	0.7b	(.f64 a (.f64 a (.f64 2 (.f64 b b))))
	1.2b	(.f64 a (.f64 2 (*.f64 b b)))

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(.f64 b (.f64 b 3))
0.0ms	a	@	-inf	(.f64 b (.f64 b a))
0.0ms	b	@	0	(.f64 b (.f64 b 3))
0.0ms	b	@	0	(.f64 b (.f64 b a))
0.0ms	b	@	inf	(.f64 b (.f64 b a))

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
681×	`add-log-exp_binary64`
681×	`log1p-expm1-u_binary64`
681×	`expm1-log1p-u_binary64`
87×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	14
2	1885	14

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(.f64 b (.f64 b a))
(.f64 b (.f64 b 3))

Outputs

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

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
400×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
242×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	15	252
2	30	252
3	62	252
4	158	252
5	516	252
6	706	252
7	1120	252
8	1220	252
9	1353	252
10	1525	252
11	1768	252
12	2081	252
13	2451	252
14	2905	252
15	3484	252
16	4192	252

Stop Event

1×	node limit

Counts

64 → 32

Calls

Call 1

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

Outputs
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))

localize24.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))
	0.0b	(.f64 2 (.f64 b b))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))))
	0.0b	(+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))))
✓	0.2b	(.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b 3)))
	0.7b	(.f64 a (.f64 a (.f64 2 (.f64 b b))))
	1.2b	(.f64 a (.f64 2 (*.f64 b b)))
✓	40.1b	(/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))
1.0ms	b	@	inf	(/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))
1.0ms	a	@	inf	(/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))
1.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))

rewrite35.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

189×	`associate-r_binary64`
162×	`add-sqr-sqrt_binary64`
159×	`*-un-lft-identity_binary64`
159×	`pow1_binary64`
151×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	320	20

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b 3)) (*.f64 b (*.f64 b 3))) (*.f64 (*.f64 b (*.f64 b a)) (*.f64 b (*.f64 b a)))) (-.f64 (*.f64 b (*.f64 b 3)) (*.f64 b (*.f64 b a))))

(*.f64 (*.f64 b (*.f64 b 3)) (*.f64 b (*.f64 b 3)))

Outputs

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
252×	`*-commutative_binary64`
246×	`associate-/r*_binary64`
222×	`associate-/l*_binary64`
222×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	423
1	42	423
2	106	423
3	317	423
4	1303	423
5	4420	423

Stop Event

1×	node limit

Counts

104 → 77

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (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)))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))

Outputs
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a a)) (/.f64 (*.f64 b b) (-.f64 3 a)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 a 2)) (pow.f64 b 2)) (-.f64 3 a))
(/.f64 (-.f64 9 (.f64 a a)) (/.f64 (-.f64 3 a) (.f64 b b)))
(.f64 (/.f64 (-.f64 9 (.f64 a a)) (-.f64 3 a)) (*.f64 b b))
(/.f64 (.f64 b b) (/.f64 (-.f64 3 a) (-.f64 9 (.f64 a a))))
(.f64 (-.f64 9 (.f64 a 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 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 a 3)))
(.f64 (.f64 b b) (+.f64 a 3))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))
(*.f64 9 (pow.f64 b 4))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (0.7%)

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 → 30

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
560×	`sqr-pow_binary64`
425×	`associate-l_binary64`
382×	`*-commutative_binary64`
289×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	198
1	33	198
2	63	198
3	126	198
4	349	198
5	1682	198
6	2611	198
7	3014	198
8	3275	198
9	3586	198
10	3997	198
11	4583	198

Stop Event

1×	node limit

Counts

54 → 39

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 (.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))
(*.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))

eval241.0ms (3.6%)

Compiler: Compiled 14375 to 8180 computations (43.1% saved)

prune118.0ms (1.7%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	461	5	466
Fresh	4	4	8
Picked	0	1	1
Done	4	4	8
Total	469	14	483

Error

Counts

483 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	10.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	10.2b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
	19.3b	(-.f64 (.f64 4 (.f64 a a)) 1)
✓	10.4b	(-.f64 (pow.f64 a 4) 1)
	19.6b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
✓	1.1b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
✓	10.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	11.0b	(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
✓	19.5b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	9.5b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	19.5b	(-.f64 (.f64 b (.f64 12 b)) 1)
	11.1b	(-.f64 (pow.f64 b 4) 1)
	9.8b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 b (.f64 b 12))) 1)
	10.9b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)

Compiler

Compiled 180 to 127 computations (29.4% saved)

regimes73.0ms (1.1%)

Counts

31 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -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)
(-.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 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (fma.f64 (.f64 b b) (.f64 2 (.f64 a a)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(fma.f64 4 (neg.f64 (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))

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

Results

Time	Error	Segments	Branch
15.0ms	0.0b	1	`a`
14.0ms	0.0b	1	`b`
5.0ms	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)`
11.0ms	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)))))`
7.0ms	0.0b	1	`(*.f64 b b)`
7.0ms	0.0b	1	`(*.f64 b b)`

Compiler

Compiled 730 to 407 computations (44.2% saved)

regimes67.0ms (1%)

Counts

30 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -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)
(-.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 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (fma.f64 (.f64 b b) (.f64 2 (.f64 a a)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(fma.f64 4 (neg.f64 (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -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)

Results

Time	Error	Segments	Branch
14.0ms	0.1b	1	`a`
14.0ms	0.1b	1	`b`
5.0ms	0.1b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
10.0ms	0.1b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
6.0ms	0.1b	1	`(*.f64 b b)`

Compiler

Compiled 702 to 391 computations (44.3% saved)

regimes45.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -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)

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

Results

Time	Error	Segments	Branch
13.0ms	0.4b	1	`a`
12.0ms	0.4b	1	`b`
7.0ms	0.4b	1	`(*.f64 b b)`

Compiler

Compiled 535 to 296 computations (44.7% saved)

regimes47.0ms (0.7%)

Counts

23 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 b (.f64 b 12))) 1)

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

Results

Time	Error	Segments	Branch
12.0ms	1.1b	1	`a`
13.0ms	1.1b	1	`b`
5.0ms	1.1b	1	`(*.f64 b b)`
6.0ms	1.1b	1	`(*.f64 b b)`

Compiler

Compiled 473 to 260 computations (45% saved)

regimes88.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 2 (.f64 a a) (.f64 b b)))) 1)

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

Results

Time	Error	Segments	Branch
29.0ms	2.6b	3	`a`
29.0ms	1.4b	3	`b`
10.0ms	1.4b	2	`(*.f64 b b)`
9.0ms	1.4b	2	`(*.f64 b b)`

Compiler

Compiled 435 to 239 computations (45.1% saved)

bsearch61.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
31.0ms	8.21218619349424e-36	∈ [	8.21218619349424e-36	,	3.698394897778637e-33	]
30.0ms	-5.66961418752657	∈ [	-5.66961418752657	,	-0.04456019128559022	]

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes86.0ms (1.3%)

Counts

19 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)

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

Results

Time	Error	Segments	Branch
28.0ms	2.7b	3	`a`
29.0ms	1.4b	3	`b`
8.0ms	1.4b	2	`(*.f64 b b)`
10.0ms	1.4b	2	`(*.f64 b b)`

Compiler

Compiled 410 to 225 computations (45.1% saved)

bsearch64.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
32.0ms	8.21218619349424e-36	∈ [	8.21218619349424e-36	,	3.698394897778637e-33	]
32.0ms	-5.66961418752657	∈ [	-5.66961418752657	,	-0.04456019128559022	]

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes71.0ms (1%)

Counts

18 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 2 (.f64 a a)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (+.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a)))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (*.f64 b a))))))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 2 (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (/.f64 (-.f64 (.f64 (.f64 3 (.f64 b b)) (.f64 3 (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 3 (.f64 b b)) (.f64 a (*.f64 b b))))))) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)

Outputs

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

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

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

Results

Time	Error	Segments	Branch
25.0ms	2.7b	3	`a`
28.0ms	1.4b	3	`b`
9.0ms	1.5b	2	`(*.f64 b b)`

Compiler

Compiled 395 to 216 computations (45.3% saved)

bsearch62.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
31.0ms	8.21218619349424e-36	∈ [	8.21218619349424e-36	,	3.698394897778637e-33	]
31.0ms	-5.66961418752657	∈ [	-5.66961418752657	,	-0.04456019128559022	]

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes18.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
9.0ms	9.5b	1	`a`
5.0ms	9.5b	1	`b`
3.0ms	9.5b	1	`(*.f64 b b)`

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes14.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
6.0ms	10.4b	1	`a`
4.0ms	10.4b	1	`b`
3.0ms	10.4b	1	`(*.f64 b b)`

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes11.0ms (0.2%)

Accuracy

Total -0.7b remaining (-3.4%)

Threshold costs -0.7b (-3.4%)

Counts

3 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
4.0ms	19.3b	1	`a`
3.0ms	19.3b	1	`b`
2.0ms	19.3b	1	`(*.f64 b b)`

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
18×	`*-commutative_binary64`
13×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	374
1	119	374
2	134	374
3	138	374
4	140	374

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -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 a (.f64 a (+.f64 4 (*.f64 a -4))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(if (<=.f64 b -6383418085569785/1125899906842624) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (*.f64 b 12))) 1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (.f64 b (*.f64 b (fma.f64 b b 12))) 1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (.f64 b b))) 1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)

Outputs
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -4))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -4))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 a (.f64 a (+.f64 4 (*.f64 a -4))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))))
(if (<=.f64 b -6383418085569785/1125899906842624) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (*.f64 b 12))) 1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (+.f64 (+.f64 (.f64 b (.f64 b 12)) (pow.f64 b 4)) -1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (+.f64 (.f64 b (*.f64 b 12)) (pow.f64 b 4)) -1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (+.f64 -1 (+.f64 (.f64 b (.f64 b 12)) (pow.f64 b 4))) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 -1 (+.f64 (.f64 b (*.f64 b 12)) (pow.f64 b 4)))))
(if (<=.f64 b -6383418085569785/1125899906842624) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (.f64 b (*.f64 b (fma.f64 b b 12))) 1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (+.f64 (.f64 b (.f64 b (fma.f64 b b 12))) -1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (.f64 b (*.f64 b (fma.f64 b b 12))) -1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 12)))) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 -1 (.f64 b (*.f64 b (fma.f64 b b 12))))))
(if (<=.f64 b -6383418085569785/1125899906842624) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (.f64 b b))) 1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) 12)) -1) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) -1)))
(if (<=.f64 b -6383418085569785/1125899906842624) (+.f64 -1 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) 12))) (if (<=.f64 b 3072543633371665/374144419156711147060143317175368453031918731001856) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 -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 a (+.f64 a -4)))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))))
(-.f64 (.f64 4 (.f64 a a)) 1)
(+.f64 (.f64 4 (.f64 a a)) -1)
(+.f64 -1 (.f64 4 (.f64 a a)))

end136.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 534 to 332 computations (37.8% saved)