Details

analyze214.0ms (1.6%)

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%	62.4%	12.6%	7
25%	53.1%	22%	8
25%	44.5%	30.5%	9
28.1%	27.7%	44.2%	10
31.6%	20.1%	48.3%	11
33.4%	10.5%	56.1%	12

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample2.4s (17.3%)

Results

2.1s	8256×	body	256	valid
237.0ms	1044×	body	256	invalid

preprocess74.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

477×	`sub-neg_binary64`
473×	`fma-neg_binary64`
432×	`associate-+l+_binary64`
424×	`distribute-rgt-in_binary64`
394×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	111	80
2	348	72
3	1372	72
4	4090	64
5	7361	64
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 1 (*.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 1 (*.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 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 b (.f64 b (+.f64 1 (.f64 a -3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) (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 1 (.f64 3 b)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (+.f64 b 1) (.f64 (.f64 a a) (+.f64 1 (.f64 -3 b))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (+.f64 1 (.f64 b -3)) (+.f64 (.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (fma.f64 b -3 1) (*.f64 b (fma.f64 b b b))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (*.f64 b (fma.f64 b b b))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (.f64 b (fma.f64 b b b))) -1))

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
431×	`distribute-rgt-in_binary64`
315×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	724	36
4	2835	32
5	4848	32

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

eval1.0ms (0%)

Compiler: Compiled 56 to 36 computations (35.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

0.2b

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 59 computations (37.9% saved)

series32.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
4.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
2.0ms	a	@	-inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
2.0ms	b	@	0	(fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3)))
2.0ms	a	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`prod-diff_binary64`
680×	`log-prod_binary64`
340×	`fma-def_binary64`
281×	`log1p-udef_binary64`
280×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	354	64
2	4045	64

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

615×	`distribute-rgt-in_binary64`
611×	`distribute-lft-in_binary64`
384×	`+-commutative_binary64`
303×	`associate-l_binary64`
277×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1574
1	381	1369
2	1370	1310
3	4088	1292

Stop Event

1×	node limit

Counts

216 → 188

Calls

Call 1

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

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

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
✓	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 153 to 77 computations (49.7% saved)

series18.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	b	@	0	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
1.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
1.0ms	a	@	0	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`fma-neg_binary64`
326×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
266×	`log-pow_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	411	55
2	5698	55

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(.f64 (.f64 b b) (-.f64 1 (*.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 1 (.f64 3 a)))))

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary64`
405×	`unsub-neg_binary64`
380×	`cancel-sign-sub-inv_binary64`
366×	`distribute-rgt-neg-in_binary64`
345×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	1343
1	151	1255
2	407	1128
3	1275	1126
4	1986	1126
5	3188	1126
6	5252	1126

Stop Event

1×	node limit

Counts

187 → 141

Calls

Call 1

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

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

eval282.0ms (2.1%)

Compiler: Compiled 10607 to 6464 computations (39.1% saved)

prune56.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	319	10	329
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	321	10	331

Error

0.0b

Counts

331 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.9b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 4 a))))
	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 4))) 1)
	11.3b	(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)
▶	0.1b	(-.f64 (+.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)
▶	51.7b	(*.f64 (pow.f64 a 3) (+.f64 4 a))
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
▶	52.0b	(pow.f64 a 4)
	52.4b	(pow.f64 b 4)
▶	11.0b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	10.8b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 376 to 254 computations (32.4% saved)

localize104.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.2b	(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
	0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 180 to 95 computations (47.2% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify204.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	402
1	42	402
2	99	378
3	307	378
4	1246	378
5	2455	378
6	2856	378
7	3019	378
8	3235	378
9	3464	378
10	3770	378
11	4156	378
12	4621	378
13	5241	378
14	6022	378
15	6402	378
16	6716	378
17	6984	378
18	7156	378
19	7292	378

Stop Event

1×	node limit

Counts

45 → 30

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

330×	`pow1_binary64`
319×	`add-sqr-sqrt_binary64`
312×	`*-un-lft-identity_binary64`
308×	`add-log-exp_binary64`
308×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	85	4
2	894	4

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(pow.f64 a 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 4)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 3) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (pow.f64 (cbrt.f64 a) 8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 8) (cbrt.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (pow.f64 a 3/2) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 3/2) (pow.f64 a 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 8)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 16))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 8)) (cbrt.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 5) (*.f64 (cbrt.f64 a) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 a) 5) (pow.f64 (cbrt.f64 a) 5)) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 a 8) (pow.f64 (cbrt.f64 a) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 10)) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 a 4)) 5)) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 5) 2) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 a 8) (pow.f64 (cbrt.f64 a) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 10) 1/3) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 a 4)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 a 4)) (+.f64 1 (pow.f64 a 4))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 a 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 a 4)) (+.f64 1 (pow.f64 a 4))) 1) (+.f64 (+.f64 1 (pow.f64 a 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 a 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 a 4))) 3))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

40 → 40

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
719×	`add-log-exp_binary64`
719×	`log1p-expm1-u_binary64`
719×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	1986	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify188.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	22	114
2	50	114
3	101	105
4	237	105
5	915	105
6	2021	105
7	2434	105
8	2594	105
9	2776	105
10	3016	105
11	3327	105
12	3713	105
13	4198	105
14	4823	105
15	5629	105
16	6033	105
17	6397	105
18	6691	105
19	6931	105
20	7083	105

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (*.f64 b b) 4)
✓	0.0b	(*.f64 a (+.f64 4 a))
✓	0.0b	(+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 4 a)))
✓	0.6b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 4 a))))

Compiler

Compiled 54 to 29 computations (46.3% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
495×	`fma-def_binary64`
339×	`pow2_binary64`
233×	`pow1/3_binary64`
227×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	269	51
2	3763	51

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

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

simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-out_binary64`
610×	`fma-def_binary64`
451×	`unswap-sqr_binary64`
430×	`*-commutative_binary64`
411×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	942
1	94	931
2	227	866
3	705	866
4	2800	866
5	5671	866
6	6817	866
7	7052	866
8	7276	866
9	7520	866
10	7820	866

Stop Event

1×	node limit

Counts

287 → 246

Calls

Call 1

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

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

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 127 to 75 computations (40.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`fma-neg_binary64`
319×	`expm1-udef_binary64`
318×	`log1p-udef_binary64`
260×	`log-pow_binary64`
196×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	392	28
2	5609	28

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-l_binary64`
488×	`distribute-rgt-out_binary64`
408×	`associate-r_binary64`
392×	`distribute-lft-out_binary64`
331×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	566
1	114	527
2	332	437
3	1136	437
4	3277	437
5	5809	437

Stop Event

1×	node limit

Counts

67 → 62

Calls

Call 1

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

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

eval426.0ms (3.1%)

Compiler: Compiled 16129 to 9915 computations (38.5% saved)

prune173.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	602	8	610
Fresh	0	5	5
Picked	1	0	1
Done	3	1	4
Total	606	14	620

Error

0.0b

Counts

620 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 4))) 1)
▶	0.1b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
	52.0b	(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
	51.9b	(.f64 (.f64 a a) (+.f64 (+.f64 (.f64 2 (.f64 b b)) 4) (*.f64 a (+.f64 4 a))))
✓	52.0b	(pow.f64 a 4)
	52.4b	(pow.f64 b 4)
▶	51.8b	(.f64 (.f64 a a) (*.f64 a (+.f64 4 a)))
	22.0b	(-.f64 (.f64 4 (.f64 b b)) 1)
	11.3b	(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)
▶	11.9b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1)
▶	52.1b	(.f64 (.f64 a a) (*.f64 a a))
	61.9b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
	10.8b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 451 to 298 computations (33.9% saved)

localize114.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
✓	1.8b	(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))

Compiler

Compiled 195 to 102 computations (47.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify177.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

39 → 20

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 4 computations (69.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 32

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 4 a))
✓	0.2b	(.f64 (.f64 a a) (*.f64 a (+.f64 4 a)))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
745×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	157	10
2	2092	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify170.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	22	114
2	50	114
3	101	105
4	237	105
5	915	105
6	2021	105
7	2434	105
8	2594	105
9	2776	105
10	3016	105
11	3327	105
12	3713	105
13	4198	105
14	4823	105
15	5629	105
16	6033	105
17	6397	105
18	6691	105
19	6931	105
20	7083	105

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (*.f64 a (+.f64 4 a)))
✓	0.0b	(.f64 a (+.f64 4 (.f64 a (+.f64 4 a))))
✓	0.1b	(.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a))))))
✓	0.1b	(.f64 b (.f64 b -12))

Compiler

Compiled 90 to 60 computations (33.3% saved)

series6.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`log-prod_binary64`
715×	`fma-def_binary64`
309×	`fma-neg_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	306	47
2	4556	47

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify164.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-def_binary64`
563×	`*-commutative_binary64`
520×	`sqr-pow_binary64`
466×	`distribute-rgt-in_binary64`
425×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	805
1	113	763
2	249	679
3	642	652
4	2255	652
5	3768	652
6	4246	652
7	5315	652
8	6240	652
9	6504	652
10	6779	652
11	7178	652
12	7569	652

Stop Event

1×	node limit

Counts

249 → 225

Calls

Call 1

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 69 to 29 computations (58% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	7
2	1751	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify160.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
754×	`cube-prod_binary64`
743×	`fabs-mul_binary64`
514×	`pow-sqr_binary64`
346×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	204
1	16	168
2	29	168
3	47	168
4	99	168
5	295	168
6	1113	168
7	1389	168
8	1679	168
9	1930	168
10	2269	168
11	2762	168
12	3421	168
13	4211	168
14	5133	168
15	5654	168
16	6071	168
17	6462	168
18	6583	168
19	6627	168
20	7796	168

Stop Event

1×	node limit

Counts

57 → 38

Calls

Call 1

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

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

eval363.0ms (2.7%)

Compiler: Compiled 13350 to 8484 computations (36.4% saved)

prune101.0ms (0.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	523	6	529
Fresh	1	7	8
Picked	0	1	1
Done	1	4	5
Total	525	18	543

Error

0.0b

Counts

543 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 4))) 1)
✓	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 4))) 1)
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
	12.7b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (*.f64 a a)))) 1)
	52.0b	(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
	51.9b	(.f64 (.f64 a a) (+.f64 (+.f64 (.f64 2 (.f64 b b)) 4) (*.f64 a (+.f64 4 a))))
✓	52.0b	(pow.f64 a 4)
	52.4b	(pow.f64 b 4)
	17.1b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (/.f64 (-.f64 (.f64 (.f64 a 4) (.f64 a 4)) (.f64 (.f64 a (.f64 a (+.f64 a 4))) (.f64 a (.f64 a (+.f64 a 4))))) (-.f64 (.f64 a 4) (.f64 a (.f64 a (+.f64 a 4))))))) 1)
✓	51.8b	(.f64 (.f64 a a) (*.f64 a (+.f64 4 a)))
	11.2b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 4))) 1)
▶	22.4b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 (*.f64 4 a) 4)))) 1)
▶	22.3b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a 4))) 1)
▶	22.0b	(-.f64 (.f64 4 (.f64 b b)) 1)
▶	11.3b	(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)
✓	11.9b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1)
✓	52.1b	(.f64 (.f64 a a) (*.f64 a a))
	61.9b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))

Compiler

Compiled 531 to 359 computations (32.4% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 111 to 45 computations (59.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary64`
467×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
228×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	345	40
2	4965	40

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-lft-out_binary64`
595×	`associate-+l+_binary64`
549×	`distribute-rgt-out_binary64`
467×	`associate-l_binary64`
443×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	983
1	168	884
2	453	830
3	1741	828
4	4202	828
5	5851	828
6	6040	828
7	6198	828
8	6402	828
9	6669	828

Stop Event

1×	node limit

Counts

119 → 106

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify173.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	54	171
4	121	171
5	352	171
6	1276	171
7	2169	171
8	2333	171
9	2517	171
10	2725	171
11	3023	171
12	3414	171
13	3897	171
14	4463	171
15	5153	171
16	5994	171
17	6384	171
18	6672	171
19	6950	171
20	7024	171
21	7060	171

Stop Event

1×	node limit

Counts

70 → 51

Calls

Call 1

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

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

localize53.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 b (.f64 b -12)) (*.f64 a 4))
✓	0.1b	(.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a 4)))
	0.1b	(.f64 b (.f64 b -12))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
404×	`fma-def_binary64`
401×	`pow-prod-down_binary64`
399×	`exp-prod_binary64`
279×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	220	25
2	2961	25

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 a a)) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) 1) (*.f64 (*.f64 4 (*.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) 3) (pow.f64 (*.f64 4 (*.f64 a a)) 3)) (+.f64 (pow.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) 2) (-.f64 (pow.f64 (*.f64 4 (*.f64 a a)) 2) (*.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) 2) (pow.f64 (*.f64 4 (*.f64 a a)) 2)) (-.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728)) a) (fma.f64 (*.f64 a 4) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 b 4) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 b 4) 144 (neg.f64 (*.f64 (*.f64 a a) 16))) a) (fma.f64 b (*.f64 b -12) (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728))) (fma.f64 (*.f64 a 4) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 b 4) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 (pow.f64 b 4) 144 (neg.f64 (*.f64 (*.f64 a a) 16)))) (fma.f64 b (*.f64 b -12) (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (sqrt.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 -12 (*.f64 b b)) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 (*.f64 b -12) a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b -12) (*.f64 b a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (*.f64 b b)) a (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) a (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (*.f64 a a)) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 -12 a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 16)) (*.f64 (cbrt.f64 (*.f64 a 4)) a) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 a 4)) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (*.f64 (cbrt.f64 (*.f64 -12 (*.f64 b b))) a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) 2) (*.f64 (*.f64 (sqrt.f64 a) 2) a) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 a 4)) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 -12)) (*.f64 (*.f64 b (sqrt.f64 -12)) a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 -12 (*.f64 b b))) 1 (*.f64 (*.f64 4 (*.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 2) (cbrt.f64 (*.f64 4 (*.f64 a a))) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -12 (*.f64 b b)))) 2) (cbrt.f64 (*.f64 a (*.f64 -12 (*.f64 b b)))) (*.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 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (*.f64 b (sqrt.f64 -12))) (*.f64 (sqrt.f64 a) (*.f64 b (sqrt.f64 -12))) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a b) (*.f64 b -12) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 b -12)) b (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 b b)) -12 (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 (pow.f64 b 4) 144))) (cbrt.f64 (*.f64 -12 (*.f64 b b))) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 b (sqrt.f64 -12))) (*.f64 b (sqrt.f64 -12)) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 b (sqrt.f64 -12)) (cbrt.f64 a)) 2) (cbrt.f64 a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -12 (*.f64 b b)) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 (*.f64 a a) 16))) (cbrt.f64 (*.f64 a 4)) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 (sqrt.f64 a) 2)) (*.f64 (sqrt.f64 a) 2) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 a (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (*.f64 -12 (*.f64 b b))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 b 4) 144) (fma.f64 b (*.f64 b -12) (*.f64 -4 a))) (/.f64 (*.f64 (*.f64 a a) 16) (fma.f64 b (*.f64 b -12) (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) (pow.f64 (cbrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 2) (cbrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) (sqrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728)) (/.f64 1 (fma.f64 (*.f64 a 4) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 b 4) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 b 4) 144 (neg.f64 (*.f64 (*.f64 a a) 16))) (/.f64 1 (fma.f64 b (*.f64 b -12) (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a 4) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 b 4) 144)) (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b (*.f64 b -12) (*.f64 -4 a)) (fma.f64 (pow.f64 b 4) 144 (neg.f64 (*.f64 (*.f64 a a) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728)) (fma.f64 (*.f64 a 4) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 b 4) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728)) (fma.f64 (*.f64 a a) 16 (-.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 (*.f64 -12 (*.f64 b b)) (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 b 4) 144 (neg.f64 (*.f64 (*.f64 a a) 16))) (fma.f64 b (*.f64 b -12) (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 a 3) 64 (*.f64 (pow.f64 b 6) -1728))) (neg.f64 (fma.f64 (*.f64 a 4) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 b 4) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 b 4) 144 (neg.f64 (*.f64 (*.f64 a a) 16)))) (neg.f64 (fma.f64 b (*.f64 b -12) (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) 16) (*.f64 (pow.f64 b 4) 144)) (-.f64 (*.f64 a 4) (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))) 2) 1/2)))) (#(struct:change 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egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) (sqrt.f64 (log.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -12 (*.f64 b b)))) (pow.f64 (exp.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) (*.f64 b -12)) (+.f64 1 (expm1.f64 (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -12 (*.f64 b b)))) (+.f64 1 (expm1.f64 (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 4))) (pow.f64 (exp.f64 b) (*.f64 b -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 4) (+.f64 1 (expm1.f64 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 4))) (+.f64 1 (expm1.f64 (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a 4 (*.f64 -12 (*.f64 b b)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 4 (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b -12) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (*.f64 b b) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b -12) b (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (*.f64 b b)) 1 (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 a (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) 1 (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -12 (*.f64 b b)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 4) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) -12 (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 4)) (cbrt.f64 (*.f64 (*.f64 a a) 16)) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 16)) (cbrt.f64 (*.f64 a 4)) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 b b) 144)) (*.f64 (cbrt.f64 (*.f64 b -12)) b) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 4) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -12 (*.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (*.f64 a 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))) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (*.f64 b -12)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) 2) (*.f64 (sqrt.f64 a) 2) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b -12)) (*.f64 (sqrt.f64 (*.f64 b -12)) b) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 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)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (*.f64 b -12)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (cbrt.f64 (*.f64 (*.f64 b b) 144))) (cbrt.f64 (*.f64 b -12)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (*.f64 b -12))) (sqrt.f64 (*.f64 b -12)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b -12) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b -12) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a 4))))))

simplify194.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1088×	`sqr-pow_binary64`
788×	`fabs-mul_binary64`
740×	`cube-prod_binary64`
656×	`pow-sqr_binary64`
470×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	588
1	35	588
2	67	534
3	164	534
4	617	534
5	1053	534
6	1764	534
7	1843	534
8	1940	534
9	2071	534
10	2256	534
11	2505	534
12	2825	534
13	3220	534
14	3772	534
15	4515	534
16	5453	534
17	6009	534
18	6495	534
19	6951	534
20	7199	534
21	7245	534

Stop Event

1×	node limit

Counts

189 → 153

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 (.f64 4 a) 4)))
✓	0.0b	(.f64 a (+.f64 (.f64 4 a) 4))
✓	0.1b	(.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 (*.f64 4 a) 4))))
	0.1b	(.f64 b (.f64 b -12))

Compiler

Compiled 75 to 52 computations (30.7% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite137.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
596×	`fma-def_binary64`
355×	`pow2_binary64`
317×	`fma-neg_binary64`
247×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	276	41
2	3879	41

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 a 4 4) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) 1) (*.f64 (*.f64 (fma.f64 a 4 4) (*.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) 3) (pow.f64 (*.f64 (fma.f64 a 4 4) (*.f64 a a)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) 2) (-.f64 (pow.f64 (*.f64 (fma.f64 a 4 4) (*.f64 a a)) 2) (*.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) (*.f64 (fma.f64 a 4 4) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) 2) (pow.f64 (*.f64 (fma.f64 a 4 4) (*.f64 a a)) 2)) (-.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)) (*.f64 (fma.f64 a 4 4) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 b b) 3) -1728 (pow.f64 (*.f64 a (fma.f64 a 4 4)) 3)) a) (fma.f64 (*.f64 a (fma.f64 a 4 4)) (-.f64 (*.f64 a (fma.f64 a 4 4)) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 (*.f64 b b) 2) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 b b) 2) 144) (pow.f64 (*.f64 a (fma.f64 a 4 4)) 2)) a) (-.f64 (*.f64 -12 (*.f64 b b)) (*.f64 a (fma.f64 a 4 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 b b) 3) -1728 (pow.f64 (*.f64 a (fma.f64 a 4 4)) 3))) (fma.f64 (*.f64 a (fma.f64 a 4 4)) (-.f64 (*.f64 a (fma.f64 a 4 4)) (*.f64 -12 (*.f64 b b))) (*.f64 (pow.f64 (*.f64 b b) 2) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 (*.f64 b b) 2) 144) (pow.f64 (*.f64 a (fma.f64 a 4 4)) 2))) (-.f64 (*.f64 -12 (*.f64 b b)) (*.f64 a (fma.f64 a 4 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 a 4 4) (*.f64 a a))) (exp.f64 (*.f64 (*.f64 b b) (*.f64 -12 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 -12 (*.f64 b b)) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a (fma.f64 a 4 4)) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 (*.f64 b -12) a) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b -12) (*.f64 b a) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (*.f64 b b)) a (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a 4 4) (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (fma.f64 a 4 4)) a (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 b b) (*.f64 -12 a)) (*.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)) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (fma.f64 a 4 4) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 -12 a) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 -12 (*.f64 b b))) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 a (fma.f64 a 4 4))) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -12 (*.f64 b b))) 2) (*.f64 (cbrt.f64 (*.f64 -12 (*.f64 b b))) a) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a 4 4))) 2) (*.f64 (cbrt.f64 (*.f64 a (fma.f64 a 4 4))) a) (*.f64 (*.f64 b b) (*.f64 -12 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 -12 (*.f64 b b))) (*.f64 (fma.f64 a 4 4) (*.f64 a a)))))) 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-12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (fma.f64 a 4 4) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b -12) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (*.f64 b b) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b -12) b (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (*.f64 b b)) 1 (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) a (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) (+.f64 a 1) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a 4 4) a (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (fma.f64 a 4 4)) 1 (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -12 (*.f64 b b)) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (fma.f64 a 4 4)) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (*.f64 a a)) (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) -12 (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 16)) (*.f64 (cbrt.f64 (*.f64 a 4)) a) (fma.f64 a 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 2)) (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 2)) (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a 1) (*.f64 a 4) (*.f64 -12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (cbrt.f64 (*.f64 (*.f64 b b) 144))) (cbrt.f64 (*.f64 b -12)) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (*.f64 b -12))) (sqrt.f64 (*.f64 b -12)) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b -12) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b -12) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a (fma.f64 a 4 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 a 4 (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule 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simplify206.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1223×	`fma-def_binary64`
771×	`sqr-pow_binary64`
671×	`unswap-sqr_binary64`
441×	`*-commutative_binary64`
379×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	869
1	86	794
2	188	746
3	411	746
4	1277	746
5	2366	746
6	3739	746
7	4042	746
8	4302	746
9	4750	746
10	5147	746
11	5603	746
12	6191	746
13	6914	746
14	7844	746

Stop Event

1×	node limit

Counts

274 → 238

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)
0.0ms	b	@	inf	(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)
0.0ms	b	@	-inf	(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`pow1_binary64`
660×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
660×	`expm1-log1p-u_binary64`
647×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	147	12
2	1765	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (.f64 b b) (+.f64 4 (.f64 b b)) -1)

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

621×	`distribute-rgt-neg-in_binary64`
586×	`fma-def_binary64`
476×	`distribute-lft-neg-in_binary64`
472×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	123
1	29	123
2	61	111
3	148	111
4	405	111
5	1477	111
6	4318	111

Stop Event

1×	node limit

Counts

33 → 29

Calls

Call 1

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

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

eval777.0ms (5.7%)

Compiler: Compiled 15002 to 9418 computations (37.2% saved)

prune299.0ms (2.2%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	678	8	686
Fresh	1	7	8
Picked	1	0	1
Done	2	7	9
Total	682	22	704

Error

0.0b

Counts

704 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 b (.f64 b 4))) 1)
✓	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 4))) 1)
	52.0b	(.f64 (.f64 b b) (fma.f64 b b 4))
	11.2b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
	52.4b	(pow.f64 b 4)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
	12.7b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (*.f64 a a)))) 1)
	52.0b	(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
	51.9b	(.f64 (.f64 a a) (+.f64 (+.f64 (.f64 2 (.f64 b b)) 4) (*.f64 a (+.f64 4 a))))
✓	52.0b	(pow.f64 a 4)
	17.1b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (/.f64 (-.f64 (.f64 (.f64 a 4) (.f64 a 4)) (.f64 (.f64 a (.f64 a (+.f64 a 4))) (.f64 a (.f64 a (+.f64 a 4))))) (-.f64 (.f64 a 4) (.f64 a (.f64 a (+.f64 a 4))))))) 1)
✓	51.8b	(.f64 (.f64 a a) (*.f64 a (+.f64 4 a)))
	22.0b	(.f64 (+.f64 (.f64 b 2) 1) (-.f64 (*.f64 b 2) 1))
	11.2b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 4))) 1)
	22.5b	(-.f64 (.f64 a (.f64 (+.f64 4 (*.f64 4 a)) a)) 1)
✓	52.1b	(.f64 (.f64 a a) (*.f64 a a))
	61.7b	(.f64 4 (.f64 b b))
	23.0b	-1
✓	22.0b	(-.f64 (.f64 4 (.f64 b b)) 1)
	22.4b	(-.f64 (.f64 a (.f64 a 4)) 1)
✓	11.9b	(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1)
	61.9b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))

Compiler

Compiled 319 to 219 computations (31.3% saved)

regimes156.0ms (1.1%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

8 calls:

46.0ms	(*.f64 b b)
21.0ms	b
20.0ms	a
15.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))

Results

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

Compiler

Compiled 666 to 395 computations (40.7% saved)

regimes259.0ms (1.9%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

8 calls:

57.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
38.0ms	(*.f64 b b)
36.0ms	b
33.0ms	a
28.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
0.1b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
0.1b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))`
0.1b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))`
0.1b	1	`(*.f64 b b)`
0.1b	1	`(*.f64 b b)`

Compiler

Compiled 643 to 380 computations (40.9% saved)

regimes181.0ms (1.3%)

Counts

31 → 1

Calls

Call 1

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

Calls

7 calls:

53.0ms	(*.f64 b b)
26.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
25.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
18.0ms	a
17.0ms	b

Results

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

Compiler

Compiled 563 to 336 computations (40.3% saved)

regimes114.0ms (0.8%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	a
26.0ms	b
11.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	1	`a`
1.0b	1	`b`
1.0b	1	`(*.f64 b b)`
1.0b	1	`(*.f64 b b)`

Compiler

Compiled 310 to 187 computations (39.7% saved)

regimes210.0ms (1.5%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	a
51.0ms	b
49.0ms	(*.f64 b b)
18.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 293 to 178 computations (39.2% saved)

bsearch98.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	8.219976607718431e-21	14900134251.3037
61.0ms	-0.012375436288949035	-0.0004954413013110782

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes172.0ms (1.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

83.0ms	a
54.0ms	b
15.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 266 to 162 computations (39.1% saved)

bsearch185.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	8.219976607718431e-21	14900134251.3037
102.0ms	-0.012375436288949035	-0.0004954413013110782

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes368.0ms (2.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

207.0ms	(*.f64 b b)
98.0ms	b
29.0ms	(*.f64 b b)
20.0ms	a

Results

Error	Segments	Branch
11.9b	1	`a`
3.0b	3	`b`
3.0b	2	`(*.f64 b b)`
3.0b	2	`(*.f64 b b)`

Compiler

Compiled 246 to 152 computations (38.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2685679547323824e-5	0.9295379190023245

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes435.0ms (3.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

228.0ms	b
22.0ms	a
19.0ms	(*.f64 b b)
18.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.9b	1	`a`
3.3b	3	`b`
3.4b	2	`(*.f64 b b)`
3.4b	2	`(*.f64 b b)`

Compiler

Compiled 238 to 149 computations (37.4% saved)

bsearch97.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	3521523880391.673	586602842984627.8
56.0ms	-1.4332108419319924	-0.0057171391051227555

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes42.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	b
9.0ms	a
7.0ms	(*.f64 b b)
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.9b	1	`a`
11.9b	1	`b`
11.9b	1	`(*.f64 b b)`
11.9b	1	`(*.f64 b b)`

Compiler

Compiled 222 to 138 computations (37.8% saved)

regimes36.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	b
9.0ms	a
7.0ms	(*.f64 b b)
4.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 158 to 95 computations (39.9% saved)

regimes45.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	a
15.0ms	b
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.6b	3	`a`
20.9b	2	`b`
20.7b	2	`(*.f64 b b)`

Compiler

Compiled 104 to 63 computations (39.4% saved)

bsearch61.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	8.219976607718431e-21	14900134251.3037
30.0ms	-5.918998791317679	-1.600187057941169

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes206.0ms (1.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

171.0ms	a
25.0ms	b
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.7b	3	`a`
21.0b	2	`b`
20.8b	2	`(*.f64 b b)`

Compiler

Compiled 80 to 48 computations (40% saved)

bsearch244.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
196.0ms	8.219976607718431e-21	14900134251.3037
48.0ms	-5.918998791317679	-1.600187057941169

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes48.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	a
10.0ms	b
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.8b	3	`a`
21.0b	2	`b`
20.8b	2	`(*.f64 b b)`

Compiler

Compiled 40 to 24 computations (40% saved)

bsearch257.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	8.219976607718431e-21	14900134251.3037
177.0ms	-5.918998791317679	-1.600187057941169

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes35.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	b
8.0ms	a
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.0b	1	`a`
22.0b	1	`b`
22.0b	1	`(*.f64 b b)`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes164.0ms (1.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

148.0ms	a
8.0ms	b
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.4b	1	`a`
22.4b	1	`b`
22.4b	1	`(*.f64 b b)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes20.0ms (0.1%)

Accuracy

Total -39.6b remaining (-172.3%)

Threshold costs -39.6b (-172.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
-1

Calls

3 calls:

7.0ms	b
7.0ms	a
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
23.0b	1	`a`
23.0b	1	`b`
23.0b	1	`(*.f64 b b)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
26×	`+-commutative_binary64`
12×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	588
1	160	588
2	177	588
3	181	588
4	184	588
5	185	588

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.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 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 4))) 1)
(if (<=.f64 a -228286506022740736/18446744073709551616) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 4 a)))))) 1) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 4))) 1) (.f64 (pow.f64 a 3) (+.f64 4 a))))
(if (<=.f64 a -228286506022740736/18446744073709551616) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 4 a)))))) 1) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (.f64 (pow.f64 a 3) (+.f64 4 a))))
(if (<=.f64 (.f64 b b) 7378697629483821/147573952589676412928) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 4 a)))))) 1) (.f64 (.f64 b b) (fma.f64 b b 4)))
(if (<=.f64 b -1613651953417069/1125899906842624) (pow.f64 b 4) (if (<=.f64 b 3606040453521073/1024) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1) (pow.f64 b 4)))
(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1)
(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (*.f64 a a)))) 1)
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 4 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 4 a)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a (+.f64 4 a))) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 4 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 4 a)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 4 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 4 (.f64 b b)) 1)
(-.f64 (.f64 a (.f64 a 4)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (+.f64 1 (.f64 -3 a)))))) -1)
(+.f64 -1 (+.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (+.f64 1 (.f64 a -3)))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 4))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 b (.f64 b 4))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 b (.f64 b 4))))
(if (<=.f64 a -228286506022740736/18446744073709551616) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 4 a)))))) 1) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 4))) 1) (.f64 (pow.f64 a 3) (+.f64 4 a))))
(if (<=.f64 a -891744164151331/72057594037927936) (+.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 a 4)))))) -1) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 (+.f64 (.f64 b (.f64 b 4)) (pow.f64 b 4)) -1) (.f64 (pow.f64 a 3) (+.f64 a 4))))
(if (<=.f64 a -891744164151331/72057594037927936) (+.f64 -1 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 a 4))))))) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 -1 (+.f64 (.f64 b (.f64 b 4)) (pow.f64 b 4))) (.f64 (pow.f64 a 3) (+.f64 a 4))))
(if (<=.f64 a -228286506022740736/18446744073709551616) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 4 a)))))) 1) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (.f64 (pow.f64 a 3) (+.f64 4 a))))
(if (<=.f64 a -891744164151331/72057594037927936) (+.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 a 4)))))) -1) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 (.f64 b (.f64 b (fma.f64 b b 4))) -1) (.f64 (pow.f64 a 3) (+.f64 a 4))))
(if (<=.f64 a -891744164151331/72057594037927936) (+.f64 -1 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 a 4))))))) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 4)))) (.f64 (pow.f64 a 3) (+.f64 a 4))))
(if (<=.f64 (.f64 b b) 7378697629483821/147573952589676412928) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 4 a)))))) 1) (.f64 (.f64 b b) (fma.f64 b b 4)))
(if (<=.f64 (.f64 b b) 7378697629483821/147573952589676412928) (+.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 a 4)))))) -1) (.f64 (.f64 b b) (fma.f64 b b 4)))
(if (<=.f64 (.f64 b b) 7378697629483821/147573952589676412928) (+.f64 -1 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (.f64 a (+.f64 a 4))))))) (.f64 (.f64 b b) (fma.f64 b b 4)))
(if (<=.f64 b -1613651953417069/1125899906842624) (pow.f64 b 4) (if (<=.f64 b 3606040453521073/1024) (-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1) (pow.f64 b 4)))
(if (<=.f64 b -1613651953417069/1125899906842624) (pow.f64 b 4) (if (<=.f64 b 3606040453521073/1024) (+.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 a 4)))))) -1) (pow.f64 b 4)))
(if (<=.f64 b -1613651953417069/1125899906842624) (pow.f64 b 4) (if (<=.f64 b 3606040453521073/1024) (+.f64 -1 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 a 4))))))) (pow.f64 b 4)))
(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 4 a)))))) 1)
(+.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 a 4)))))) -1)
(+.f64 -1 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (+.f64 4 (*.f64 a (+.f64 a 4)))))))
(-.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (*.f64 a a)))) 1)
(+.f64 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (*.f64 a a)))) -1)
(+.f64 -1 (.f64 a (+.f64 (.f64 b (.f64 b -12)) (.f64 a (*.f64 a a)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 4 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 4 a)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 (.f64 4 (.f64 b b)) -1) (.f64 (.f64 a a) (.f64 a (+.f64 a 4)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 -1 (.f64 4 (.f64 b b))) (.f64 (.f64 a a) (.f64 a (+.f64 a 4)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a (+.f64 4 a))) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 4 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 4 a)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a (+.f64 a 4))) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 (.f64 4 (.f64 b b)) -1) (.f64 (.f64 a a) (.f64 a (+.f64 a 4)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a (+.f64 a 4))) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 -1 (.f64 4 (.f64 b b))) (.f64 (.f64 a a) (.f64 a (+.f64 a 4)))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 2797113096109174272/340282366920938463463374607431768211456) (-.f64 (.f64 4 (.f64 b b)) 1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 (.f64 4 (.f64 b b)) -1) (.f64 (.f64 a a) (.f64 a a))))
(if (<=.f64 a -6664200187746179/1125899906842624) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 5463111515838231/664613997892457936451903530140172288) (+.f64 -1 (.f64 4 (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 4 (.f64 b b)) 1)
(+.f64 (.f64 4 (.f64 b b)) -1)
(+.f64 -1 (.f64 4 (.f64 b b)))
(-.f64 (.f64 a (.f64 a 4)) 1)
(+.f64 (.f64 a (.f64 a 4)) -1)
(+.f64 -1 (.f64 a (.f64 a 4)))
-1

Compiler

Compiled 436 to 288 computations (33.9% saved)

soundness156.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
431×	`distribute-rgt-in_binary64`
315×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	724	36
4	2835	32
5	4848	32

Stop Event

1×	node limit

Compiler

Compiled 1119 to 683 computations (39% saved)

end252.0ms (1.9%)

Compiler: Compiled 406 to 244 computations (39.9% saved)